Recently Submitted Homework Problems for Following Grade: college freshman

23. T.J., the owner/operator of the Commonplace Coffeehouse here in Indiana has determined that the daily demand (in people) for a medium-sized cappuccino made with Costa Rican coffee beans is given by the equation: D(p) = 325e (negative 0.4p) Where p is the price of the coffee drink in dollars. Calculate E(p), the elasticity of demand. (Answered)

109. Is this funtion linear? if so, rewrite in y=b+mx.

g(w)= 1-12w/3 (Answered)

135. Little Nero is a lost neurtransmiitter who just found himself atop a receptor of the receiving dendrite and needs to get his charge to the neighboring neuron...i need detailed instructions to Little Nero so he is able to reach a successful action potential?? (Answered)

155. A lawyer commutes daily from his suburban home to his midtown office. the average time for a one-way trip is 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trips times to be normally distributed. Find the probability that 2 of the next 3 trips will take at least half(1/2) hour. (Answered)

2862. The perimeter of a rectangular garden is 24 ft the length is 2 ft more than the width. Find the length and the width of the garden.

1146. If (a sub n) is convergent and (a sub n) does not equal 0, prove that (1/(a sub n)) is divergent. (Answered)

1245. Write the Maclaurin series for each function:
b) sin(3x)
c)((x^2)/2)-(1)+(cosx) (Answered)

1230. Suppose that the utility function for two commodities is given by
U = x2y
and that the budget constraint is
x + 2y = 30.
What values of x and y will maximize utility?
(x, y) = ( ) (Answered)

1228. 4x + 2 = 3(x - 6) + 8 (Answered)

1249. A man has $235,000 invested in three properties. One earns 12%, one 10% and one 8%. His annual income from the properties is $22,500 and the amount invested at 8% is twice that invested at 12%.
(a) How much is invested in each property?
12% $ property 10% $ property
8% $ property

(b) What is the annual income from each property?
12% $ property
10% $ property
8% $ property

1251. Use row operations on augmented matrices to solve the given systems of linear equations.
x + y - z = 0
x + 2y + 2z =-5
3x - y - 14z= 19
(x, y, z) = ( )

1252. The system of equations may have unique solutions, an infinite number of solutions, or no solution. Use matrices to find the general solution of the system, if a solution exists. (Enter your answers as a comma-separated list. If there are an infinite number of solutions, enter INFINITY. If there is no solution, enter NO SOLUTION.)


(x, y, z)
= ( ) (Answered)

1271. A trust account manager has $480,000 to be invested. The investment choices, x, y, and z, have current yields of 8%, 7%, and 10%. Suppose that the investment goal is to earn interest of $37,200, and risk factors make it prudent to invest some money in all three investments.
(a) Find a general solution for the amounts invested at the three rates. (Do not use commas.)
x = $
y = $
z = z

(b) If $9,000 is invested at 10%, how much will be invested at each of the other rates?
x = $
y = $
What if $29,000 is invested at 10%?
x = $
y = $

(c) What is the minimum amount that will be invested at 7%?
y = $
In this case how much will be invested at the other rates?
x = $
z = $

(d) What is the maximum amount that will be invested at 7%?
y = $
In this case how much will be invested at the other rates?
x = $
z = $ (Answered)

1292. A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building? (Answered)

1295. Set up the system of equations and then solve it by using inverse matrices.

Medication A is given every 4 hours and medication B is given twice per day, and the ratio of the dosage of A to the dosage of B is always 5 to 8.
(a) For patient I, the total intake of the two medications is 23.2 mg per day. Find the dosage of each administration of each medication for patient I. (Round your answers to one decimal place.)

A = mg
B = mg

(b) For patient II, the total intake of the two medications is 87.8 mg per day. Find the dosage of each administration of each medication for patient II. (Round your answers to one decimal place.)

A = mg
B = mg (Answered)

1434. Let R be the region bounded by the x-axis, the y-axis, the line y=2, and the curve y=sqrt(x-1). A container is built in the shape of the solid of revolution formed by rotating R about the y-axis, and the container is filled with cold pressed olive oil. Find the work done in pumping all of the olive oil to the top of the container. (Units meters, density of cold pressed olive oil = 915kg/m^3, acceleration due to gravity is 9.8 m/s^2) (Answered)

1440. -22/45 divided by 14/25 (Answered)

1521. help me solve this math problem -6/7x=-12 (Answered)

1562. A new cruise ship line has just launched 3 new ships: the pacific paradise, the carribean paradise and the mediterranean paradise.the carribean paradise has 28 more deluxe staterooms than the pacific paradise. the mediterranean has 31 fewer deluxe staterooms than three times the number of deluxe rooms on the pacific paradise. Find the number of deluxe staterooms for each ship if the total number of deluxe staterooms for the ships is 512 (Answered)

1756. i need help getting started with this problem 4x^2+24x-64 (Answered)

1760. What does the # sign mean in my college level math class? (Answered)

1812. rewrite the expression without absolute value symbol: 17-x if x<17 (17-x has absolute value symbol) (Answered)

1874. Please help me solve this problem and show steps: 5/x + 2+x/x+3 =-1/x+3 (Answered)

2054. find derivative for the function xe^y = x - y (Answered)

2098. find dy/dx of x^3+y^3+12xy-8 by implicit differentiation (Answered)

2278. what are the inflection points of
f(x)=(x^4-x^2+2)/x^4 ? (Answered)

2415. help me use implicit differentiation on this math problem 2(x+y)^(1/3)=y (Answered)

3029. Solve the separable differential equation for
dy/dt = 6y^5

and find the particular solution satisfying the initial condition y(0)=2 (Answered)

3031. Find the horizontal and vertical asymptotes of f(x)=(4x^2 -1)/(2x^2+5x-3) (Answered)

3073. derivative of 2t(3t+1)^3(9t^2+1) (Answered)

3123. 8(x+3)=-3(2-4x)+10 (Answered)

3377. Suppose that f(x) is an exponential function. Given that f(0)=100 and f(0)=5, what is f(3)? (Answered)

3384. Use an Euler diagram to determine whether the syllogism is valid or invalid. Some policemen are polite. Jarod Harshbarger is a policeman. Therefore Jarod Harshbarger is not polite. (Answered)

3459. If $1000 is invested at 10% compounded quarterly, the future value of the investment is given by S = 1000(2^x/7), where x is the number of years after the investment is made.
a). Use the logarithmic form of this function to solve the equation for x.
b). Find when the future value of the investment is $19,504. (Answered)

3588. You get to select one card at random from a standard deck of 52 cards. If you pick a king, you win $6. If you pick a queen, you lose $3 and if you pick a jack, you lose $2. Determine your expectation for this game. (Answered)

3674. 2sin^2x-2sinx-1=0

3675. (y^13z^4)(y^10z)
write the result using exponents

3759. -2<=x-6<18


3953. Solve the inequality
x^3-x< (or equal to) 0 (Answered)

3958. Int((tanx)(((secx)^2)+4)^(1/2) (Answered)

4057. Find the domain of the composite function f o g. f(x)=(5)/(x-5);g(x)=(6/x) The domain is {x|?} type an inequality. (Answered)

Propositional logic proof, construct proofs for this sequent.

P<->~Q |- ~P<->Q (Answered)

5087. propositional logic proofs, construct proofs for this sequents.

R->~P, Q, Q->(Pv~S) |- S->~R

The letter v represents a "vel" or "wedge" (Answered)

5419. In what ways were the seeds of the 1960s including civil rights, mass media, consumerism, and youth culture firmly planted in 1950s?

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