# Recently Submitted Homework Problems for Following Grade: 11

67. 3x^2 + 12x -15/ x^2 2x - 15 / 3x^2 - 3x/ 3x-x^2 (Answered)173. find the domain of the function.

f(x)= 2x^2+5x+3/2x^2-5x-3 (Answered)

220. how do you do this problem?

find the descriminant of x^2-7x+2=0 and describe the natural roots (Answered)

239. simplify the cube root of 625 divided by the cube root of 25. (Answered)

287. Okay my question has to do with triangle trig, law of cosine and sin, etc. I have to draw a polygon with 6-10 sides, and provide enough info for someone to be required to find 3 or more missing angles and 3 or more missing sides. solve and find the area of the polygon. (Answered)

295. Factor these: 2w^2-5w-10

25x^2-50xy+100y^2

2xy^2+12xy-120

16w^2xy-43wxy+22xy

12xy^2-8x^2y

110a^2-31a+2

8z^2-27z-20 (Answered)

412. Will someone help me prove this trig identity: (sin(x))/(1-cos(x))-(sin(x)cos(x))/(1+cos(x))=csc(x)(1+cos^2(x))

Please explain the steps. (Answered)

548. Find k such that f(x) = x3 - kx2 + kx + 16 has the factor x - 2. (Answered)

5221. True or False: The three fifths compromise called for three fifths of a states LANDLESS CITIZENS to be counted as population (Answered)

1453. Help me understand how xe^2 - e^x = e^2 - e^x (Answered)

822. Find 3 like fractions (Answered)

1048. Graph one complete cycle of each of the following. in each case, label the axes accurately and identify the ampliture period and vertical translation for each graph. y= 4+4sin 2x (Answered)

1207. A 72 piece of wire was cut into equal segments,which were then soldered at the ends to form the edges of a cube. what is the volume of the cube? (Answered)

1259. Find 2 numbers that have a sum of 100. The product of the first number and 2 times the second number should be as large as possible. (Answered)

1314. Given a sinusoidal function with no vertical shift, an amplitude of 6, and two consecutive zeros at (pi/5 ,0) and (3pi/2 ,0) write an equation to model the function. (Answered)

1330. I am wondering how to derive a quadratic equation when given the roots( roots have fractions) (3),(-3/2) (Answered)

1329. 2(SIN Theta + 1) = SIN Theta + 3 (Answered)

1338. Determine the exact values of all the solutions of the equation sin^2(2x-pi/3)-cos^2(2x-pi/3)=0 over the domian [0,pi] (Answered)

1369. Rationalize and simplify 5 radical 6 divided by radical 2 (Answered)

1405. help me solve this math problem... (x^2-4/x-1) / (x^2-3x+2/x+3) (Answered)

1413. how do I round atomic masses when I do chemsitry calculations for example how would I round the atomic mass of helium in the problem:calcualate the mass of 5.22 mol of helium (Answered)

1423. Hi, i have two geometry questions about cones: If the radius of a cone is multiplied by 3 and the height remains the same, then the volume is multiplied by ____________ ?

If the height of a cone is multiplied by 3 and the radius remains the same, then the volume is multiplied by ____________ ?

(Answered)

1423. Hi, i have two geometry questions about cones: If the radius of a cone is multiplied by 3 and the height remains the same, then the volume is multiplied by ____________ ?

If the height of a cone is multiplied by 3 and the radius remains the same, then the volume is multiplied by ____________ ?

(Answered)

1448. How do you simplify cos^2/1-sin (Answered)

1451. Graphing Rational functions:

Find: X-intercepts, Y-Intercepts, Holes, Vertical and Horizontal Asymptote, Zeroes

1. 3(x-2)(x-5)/(x-2)(x+1)

2. 1/x^2-x-1

3.-3(x^2+2x+1)/4(x^2-1)

4. 5x^2-20/3x^2+12x+12 (Answered)

1467. Help me solve this math problem.... derive tan(a-b) from tan(a+b) (Answered)

1488. a ladder 20 feet long leans against the side of a house. Find the height from the top of the ladder to the ground if the angle of elevation of the ladder is 80 degrees (Answered)

1504. There is a circle with an 8-foot chord. The midpoint of the chord is located 3 feet from the center of the circle. What is the length of the diameter of the circle? (Answered)

1516. the volume of the cylinder is 540m ft3, the height is 15 ft, what is the diameter of the cylinder.

(Answered)

1516. the volume of the cylinder is 540m ft3, the height is 15 ft, what is the diameter of the cylinder.

(Answered)

1553. What is the slope of a line perpendicular to the line y-1=2/3(x+5) (Answered)

1585. r = p/sq root q, solve for p squared (Answered)

1723. Find constants a and b if f(x)=ax+b/x , if f(1)=1 and f(2)=5. (Answered)

1725. How do you calculate the mass of 1.58 moles of CH4? (Answered)

1726. what volume will 7.29 moles of CO2 gas occury at STP (Answered)

1766. Work the following pricing problems for services rendered. (Round to tenths.)

Labor rate = $8.00 per hour

Labor time = 6 hours

Retail price of parts = $0

Total job cost = $86.00

What is the overhead % rate (Answered)

1787. help me get the method to solve this math problem --92v=-6348 (Answered)

1797. 6(x + 1) - 4 = 3x +2 (Answered)

1833. |x-1|= 5x+10 (Answered)

1851. 1)Prove or disprove that the product of a rational number and an

irrational number is always irrational.

2)Prove or disprove that there exist two integers n;m with n < m

and n2 > m3. (Answered)

1891. 31=4(5n+4)-7(1+6n) (Answered)

1938. 7x+2x=8x-3 (Answered)

1953. If a translation is defined by (x, y) (x - 1, y + 5), what is the image of the preimage point (-3, 8)? (Answered)

1953. If a translation is defined by (x, y) (x - 1, y + 5), what is the image of the preimage point (-3, 8)? (Answered)

1961. If you dropped your textbook from the top of a 15 storey, building how long will it take the textbook to reach the bottom? Each storey is 3.0m and gravity=9.8m/s^2

(Answered)

1971. A tank takes 20,30,60 minutes by 3 pipes to fill up seperately. How many minutes will it take to fill up with all 3 pipes together? (Answered)

2006. What point on the line 3x - 4y = -11 has first coordinate -5 ?

(Answered)

2015. I need help in math. Im trying to figure out how to graph curcular functions in trigonometry. (Answered)

2057. 2|3/4x+4|=20 (Answered)

2057. 2|3/4x+4|=20 (Answered)

2111. d/dx (2arcsin(x-1)

(Answered)

2111. d/dx (2arcsin(x-1)

(Answered)

2144. A deli can make a sandwich using any combination of 7 different fillings and 3 types of bread jane wants a sandwhich with 3 different fillings on any type of bread how many combinations are possible (Answered)

2156. write each equation in standard form. identify A,B, and C :

0.75y= -6 (Answered)

2180. let f(x)=x^2-2x. Evaluate f(-3), f(x+2) and f(x-4) (Answered)

2180. let f(x)=x^2-2x. Evaluate f(-3), f(x+2) and f(x-4) (Answered)

2180. let f(x)=x^2-2x. Evaluate f(-3), f(x+2) and f(x-4) (Answered)

2195. How much of a 40% alcohol solution must be mixed with 30 gallons of 18% alcohol solution to obtain a solution that is 30% alcohol? (Answered)

2223. 3 lbs= how many g (Answered)

2287. a ship 54-feet wide sits 22 feet deep in still water. waves produce a heel of 7.2 degrees. if the distance from sea level to the sea bed is 28 feet, will the bottom of the ship clear the sea bed? (Answered)

2290. suppose you drive to work along country roads. Each morning you leave home at 8:30 and arrive at work at 9:00. However, today you are late and do not leave until 8:35. By how much will you have to increase your speed to get to work at 9:00? (Answered)

2290. suppose you drive to work along country roads. Each morning you leave home at 8:30 and arrive at work at 9:00. However, today you are late and do not leave until 8:35. By how much will you have to increase your speed to get to work at 9:00? (Answered)

2346. Pre cal help question is If one root of f(x)=4x^3-12x^2+11x-3 is x=1, factor f(x). Then sketch the graph of f(x) (Answered)

2442. How can I identify vertical, alternate exterior, and alternate interior angles? (Answered)

2524. position of a moving part x=12sin(10t)+5cos(10t)

1 express its max value

2 its phase angle in radians or degrees with respect to the function xref=sin(10t) (Answered)

2539. Given y=-7sin2/3(x-60)+4

a) Find y when x=40 degrees

b) Sketch the curve for one positive and one negative cycle and then on your graph determine the x values when y is 9? (Answered)

2676. write a polynomial division that has a quotient of x+3 and remainder of 2 (Answered)

2707. The population of Smallvile in the year 1890 was 6250. Assume the population increased at a rate of 2.75% per year. Estimate the population in 1915 and 1940. (Answered)

2825. exponential functions problem: Thorium-227 has a half-life of 18.4 days. Given the formula M(t)=50(1/2)^t/18.4, how many days, t, will a 50 mg sample take to decompose to 10mg? (Answered)

2868. express in the form

m over n

a)2.13 (note there is a line on top of 13) (Answered)

2966. A strip of uniform width is shaded along both sides of both ends of a rectangular poster that measures 12 inches by 16 inches. How wide is the shaded strip if one-half of the poster is shaded? (Answered)

2998. The value of a certain car depreciates according to v(t)=18500e^-0.186t, where t is the number of years after the is purchased new.

a) What will the car be worth in 18 months?

b) When will the car be worth half of its original value?

c) When will the car be worth less than $1000? (Answered)

3035. when was soccer invented? (Answered)

3132. Help me solve this tan^2x(csc^2x-1) (Answered)

3157. Sketch the graph of y = sin x in the interval 0 is less than or equal to x is less than or equal to 4 pi. (Answered)

3206. (x+5)^6 the expansion of this equation (Answered)

3230. find all real zeros of the function x^4+4x^3-6x^2-36x+27 (Answered)

3265. A helicopter with an altitude of 100 ft drops a life raft 66 ft/sec at people in the ocean. Write a set of parametric equations to describe the location of the raft at t seconds after it is dropped. (Answered)

3329. 1. find dy/dx of x^3+y^3=3xy

2. set dy/dx = 0 and see what happens.

3. use results from step 2 and the original equation to find the coordinates of the point. (Answered)

3402. What are the roots of function 2x(x-2)(x+5)? (Answered)

3424. simplify m ^2/5 *m^1/5 (Answered)

3425. A large weather balloon requires plenty of helium gas in order to ascend into the atmosphere to take measurements. If the balloon has a volume of 100,000 liters, about how many kilograms of helium gas would be required to fill the balloon to a pressure of 1 atm and a temperature of 27 degrees C? (Answered)

3605. which equation is equivalent to ln7+2lnx=5ln2? (Answered)

3699. find the slope.

x 2, -1, -4, -7

y 6, 2, -2, -6 (Answered)

3775. find the exact solutions of the equation: (sin 2x + cos 2x)^2 = 1 in the interval [0,2pi] (Answered)

3775. find the exact solutions of the equation: (sin 2x + cos 2x)^2 = 1 in the interval [0,2pi] (Answered)

3824. help plz in precal

rewrite the expression in terms of the first power of the cosine. cos^4 x (Answered)

3825. How to find the equation of the line of best fit where x is the number of hours and y is the miles?

Hours Miles

1 304

2 252

3 187

4 112

5 64 (Answered)

3826. The length of a rectangle is 15 in and is dilated to 45 in. What is the scale factor? (Answered)

3826. The length of a rectangle is 15 in and is dilated to 45 in. What is the scale factor? (Answered)

3841. a fair die is tossed four times. find the probablity of obtaning two sixes (Answered)

4112. Find the area of the figure determined by the points: (-3,-1), (-1,3), (7,3), and (5,-1) (Answered)

4171. Does the equation x^4 + y^4 = 16 represent y as a function of x? (Answered)

4195. I need help with this problem...A machine can produce 12 clay figures per hour. It costs $750 to set the machine and $6 per hour to run the machine. Each clay figure requires $2 of material (clay) to produce. If each clay figure will sell for $10, express the revenue, cost and profit in producing x clay figures as a function of time. (Answered)

4203. cos(pi/8)*cos(3pi/8)*cos(7pi/8)*cos(5pi/8)

to find value...... (Answered)

4254. An archer shoots an arrow horizontally at a target 13 m away. The arrow is aimed directly at the center of the target, but it hits 60 cm lower. What was the initial speed of the arrow? (Neglect air resistance.) (Answered)

4289. Solve the following pair of simultaneous equations 2x + 5y = 6 1/2

5x - 2y =9 (Answered)

4523. can you help me step by step through this problem: find the equation of the line parallel to 3x+5y=6 and passing through the point (0,6) (Answered)

4528. Find the values of a and b such that f is differentiable everywhere

ax^3, x less than or equal to 2

x^2+b, x greater than 2 (Answered)

4532. A certain type of bacteria grow according to the following formula:

N(t)= 12 5000 (2)^ t/5, where t is the time in days.

a) How many bacteria was there at the beginning of the experiment?

b) What is the doubling time of these bacteria?

c) How many bacteria would there be after 25 days? (Answered)

5014. question relating to real functions:

/4 - 3x/ < -2

My answer:

2 < 4-3x < -2

-2 < -3x < -6

-2/-3 > x > -6/-3

2/3 > x > 2

Textbook answer:

/ 4-3x/ cannot be negative therefore no solution. (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

0. finding the slope

1) y=1/3x-4

2) y=-1/5x-4

3) x=1

4) y=1/4x+1

5) y=-2/3x-1

6) y=-x+2

7) y=-x-1 (Answered)

5253. Find the number of terms in the sequence

1/2,1/4,1/8..................1/1024 (Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

0. A specific characteristic property of amino acids is the ionizable nature of amino and carboxyl group, so the structure of amino acids changes in solutions of different pHs.what does this mean? -

(Answered)

5583. Limit as x goes to infinity of (1+a/x)^(bx).

(Answered)

5825. Show that a/b divided by c/d = a/c divided by b/d for nonzero real numbers a,b,c,and d. Justify each step in your reasoning? (Answered)