Problem #3: Find the values of a and b so that the parabola y = ax~ + bx has a tangent line at (1, 5) with equation y = -4x + 9. Problem # 3: enter your answer in the form a,bProblem #6: Let F(x) = f(xf(x-)). Suppose that f(4) = 7, f'(4) = 5, and f'(14) = 1. Find F'(2). Problem #6:Problem #8: Find an equation of the tangent line to the curve 3. = seegr) at the point (Ea-"'3 , 4). Put your answer in the form y = am + E), and then enter the values of m and b in the answer box below (separated with a comma). Problem #4: Let h(x) = 8g(x) 5+ f(x) Suppose that f(2) = -2, f'(2) = 1, g(2) = -2, and g'(2) = 3. Find h'(2). Enter your answer Problem #4: symbolically, as in these examplesProblem #5: (21) Suppose that the tangent line to the curve )2 = f (x) at the point (7, 23) has equation 3.! = S 41'. If Newton's method is used to locate a root of the equation x) = 0 and the initial approximation is x1 = 7, nd the second approximation x2. (1)) Suppose that Newton's method is used to locate a root of the equation x) = 0 with initial approximation x1 = 4. If the second approximation is found to be x2 = 3, and the tangent line to x) at x = 4 passes through the point (14, 7)., find f (4). (c) Use Newton's method with initial approximation 5'71 = 1 to find x2, the second approximation to the root of the equation x3 = 2x + 2. 6 Problem #9: Let f(x) = e * . Find a simplified expression for f"(x). 6 6 (A) 40e x 9x + 46 ) (B) -42e X 8x/- 42 X' 10x/- 42 714 ) (9)-40e -16 r 6 10x - 42 8x /- 42 9x + 46 (D) -47e -14 ) (E) -42e 716 ) (F) 42e .14 6 6 (G) 42e X 8x + 42 ) (H) 40e X 8x /+ 42 714 Problem #9: Select v