There are in total 3 questions 4,5,6, and each question had a, b, c, d for us to solve

11:31 . 194 Done s3.us-west-1.amazonaws.com C Unauthorized copying or reuse of -19- any part of this page is illegal. GO ON TO THE NEXT PAGE. 6 6 6 6 6 6 6 6 6 6 NO CALCULATOR ALLOWED 6. Consider the curve defined by 2x2 + 3y2 - 4xy = 36. (a) Show that = dy _2y - 2x dx 3y - 2x Do not write beyond this border. Do not write beyond this border. b) Find the slope of the line tangent to the curve at each point on the curve where x = 6. Unauthorized copying or reuse of -20- any part of this page is illegal. Continue question 6 on page 21. A11:31 . 194 Done 8 s3.us-west-1.amazonaws.com C 6 6 6 6 6 6 6 6 6 6 NO CALCULATOR ALLOWED (c) Find the positive value of x at which the curve has a vertical tangent line. Show the work that leads to your answer. Do not write beyond this border. Do not write beyond this border. (d) Let x and y be functions of time t that are related by the equation 2x + 3y - 4xy = 36. At time t = 1, the value of x is 2, the value of y is -2, and the value of - is 4. Find the value of - at time ? = 1. Unauthorized copying or reuse of -21- any part of this page is illegal. GO ON TO THE NEXT PAGE.11:31 1 194 s3.us-west-1.amazonaws.com 51 of 5 5 5 5 5 5 5 5 5 NO CALCULATOR ALLOWED (c) Is there a time t, for 0 S t S 4, at which Brandon's acceleration is equal to 2.5 miles per hour per hour? Justify your answer. Do not write beyond this border. Do not write beyond this border. (d) Is there a time t, for 0 S t