Answer Key attached for the FRQ. There is no answer key for the third and fourth images. Please Show all work for all problems. Write neatly and show work simply as possible. I am not turning this assignment in for a grade, I'm only using it for studying purpose so please do not report for academic dishonesty. Thanks for your support! There is no information missing everything is one the pictures provided. This is study material I found online please do not report. This is not a quiz or assessment.

Calculator NOT Permitted Free Response Part A - 2 points total 1 Accurately drawn slope segments are provided for all six points above the x - axis as pictured 1 Accurately drawn slope segments are provided for all six points below the x - axis as pictured. Calculator NOT Permitted Free Response Part B - 3 points total 1 Equation of the tangent line is y = 2x - 3 or equivalent form. 1 f(1.1) ~-0.8 or - 1 Atx = 1, the value of the function and the value of the tangent line are equivalent because they intersect each other. Thus, at x = 1.1, the tangent line would give a very close approximation of the function because the graph of the tangent line would be a very close under or over approximation depending upon the concavity of the function at x = 1. Calculator NOT Permitted Free Response Part C - 4 points total 1 Separation of variables 1 Correct anti-differentiation of y variable expression: 1/212 1 Correct anti-differentiation of x variable expression: => + c 1 Correct function y = f(x) = - V-2x2 +3Test #8 Additional Free Response - Calculator NOT Permitted Consider the differential equation ndy 2x dx a. On the axes provided, sketch a slope field for the given differential equation at the twelve points indicated. b. Write an equation of the tangent line to the graph of fat (1, -1) and use it to approximate f( 1.1). Explain why the tangent line gives a good approximation of f( 1.1). c. Find the particular solution y = f(x) to the given differential equation with the initial condition Al) = -1.Let F(x) = fy f(1)di, where the graph of f(1) is shown to the right. Answer the following questions. 1. Complete the following table for values of F(x). x 2. On what interval(s) is f(t) positive? 3. On what interval(s) is f(t) negative? 4. On what interval(s) is F(x) increasing? 5. On what interval(s) is F(x) decreasing? Justify your answer. Justify your answer. 6. On what interval(s) is F(x) concave up? Justify your answer. 7. On what interval(s) is F(x) concave down? Justify your answer.Pictured to the right is the graph of f, which consists of two semi-circles and one line segment on the interval [0, 17]. Let g(x) = [f(1)di. 45. Find the values of g(8), g'(8) and g"(8). -LI 10 11 2 13 14 46. On what interval(s) is the graph of g(x) concave down? Justify your answer. 47. On what interval(s) is the graph of g(x) increasing? Justify your answer. 48. Find all values on the open interval (0, 17) at which g has a relative minimum. Justify your answer. 49. What are the x - coordinates of each point of inflection of g(x)? Justify your