Problem #7: Find the equation of the line that is tangent to the graph of the following function at x = 9. f(x) = 4x + 36Vx Put your answer in the form y = mx + b, but do not include the 'y = ' part in the answer box. Enter your answer as a symbolic Problem #7: function of x, as in these Examples Just Save Submit Problem #7 for Grading Problem #7 Attempt #1 Attempt #2 Mtempt #3 Your Answer: Your Mark: Problem #8: It is estimated that i months from now, the number of weekly hits to a certain web site will C(1) = 300+ + 400r + 5000 (a) Derive an expression for the rate at which the number of hits is changing with respect to time / months f now. (b) At what rate will the number of weekly hits be changing with respect to time 7 months from now? (c) By how much will the number of hits actually change during the 8th month? Inter your answer as a symbolic Problem # 8(a): function of t, as in these examples Problem #8[b): Problem #8(c): Just Save Submit Problem #8 for Grading Problem #8 Attempt #1 Attempt #2 Attempt #3 Your Answer: B(a) (a) B(a) B(b) 8(b) B(b) B(c) 8(c) B(C) Your Mark: B(a) B(a) B(b) 8(b) B(b) B(c) 8(c) B(C) Problem #9: Find the slope of the tangent line to the given curve at the point where x = X0. (ay = (4x2 + 6x)(5 + Vx); x0=9. Problem #9(a): Problem #9[b): Round your answer to 2 decimals. Just Save Submit Problem #9 for Grading Problem #9 Attempt #1 Attempt #2 Attempt # Your Answer: 9(a) 9(a) 9(a) 9(b) 9(b) 9(b) Your Mark: 9(a) 9(a) 9(a) 9(b) 9(b) 9(b) Problem #10: Find the two x-values at which the graph of the given function has a horizontal tangent line. (a)y = (x + 18)(x2 + 15x -54) 48- +7 Problem # 10(a): Separate your answers with a comma. Do not include 'x = " in your answer. Enter your answer as a symbolic Problem #10[b): function of x, as in these Separate your answers with a comma. examples Do not include 'x = ' in your answer. Just Save Submit Problem #10 for Grading Problem #10 Attempt #1 Attempt #2 Attempt #3 Your Answer: 10(a) 10(a 10(a) 10(b) 10(b) 10(b Your Mark: | 10(9) 10(3) 10(a 10(b) 10(b) 10(b) Problem #11: Find the second derivative of the following function. (Don't forget to simplify the first derivative as much possible before computing the second derivative.) y =4+ +Vx Enter your answer as a symbolic Problem #11: function of x, as in these examples Just Save Submit Problem #11 for Grading Problem #11 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark