# Recently Submitted Homework Problems for Following Grade: college junior

1029. A triangle ABC has sides of length AB = 3 inches and AC = 4 inches. Let t denote the angle at vertex A, and let s denote the length of the remaining side BC. If t increases at the rate of 2 radians per second, at what rate (in inches per second) does s change at the instant when t is a right angle? [Hint: You will need to use the Law of Cosines.] (Answered)2055. I need a step by step derivation (with rules) for the following logic problem:

P->Q . ~P->R . ~Q->~R therefore Q (Answered)

2141. A student claims that the line tangent to the graph of f(x)=e^x at x=3 passes through the point (2,0. I need to find the equation of the line tangent to the graph of f at the indicated value of x. (Answered)

3261. Determine whether the subset S of M2x2 is a subspace of the set of all upper triangular matrices. (Answered)

3564. Prove that the following sets are denumerable:

3N (natural numbers), the positive integer multiples of 3 (Answered)

4104. find the second derivative of (x^2)-(y^2)=16 (Answered)