The graph of a function, f, which consists of a two line segments and a semi-circle...

      

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The graph of a function, f, which consists of a two line segments and a semi-circle is pictured below. Let G(x) = x + +(1)dt. Use this information answer questions 1 and 2. 1. What is the value of G(2)? to -2 Graph off 3 (3,-1) 4 (5, 1) 5 H 2. Find the value of G'(2). 3t S. -dt, then what is the value of g'(2)? +1 3. If g(x)= 5. 2x x. 3 x-2 dx = 6. If u=2x-3, then x2x-3dx= 7. If dy dx y and f(0) = -4, find the particular solution to the differential equation. FREE RESPONSE 4+ 3t 2 -2-10 -1 -2 a. Compute the values of g(4) and g(-2). (1,4) (2, 1) 1 2 3 4 The graph of a function f, consisting of three line segments, is pictured above. Let g(x) = f(1)di. b. Find g'(1) and g" (1). Show or explain your work. (4,-1) c. Find the coordinates of the absolute maximum of g on the closed interval [-2, 4]. Justify your answer. d. The second derivative of g is not defined at x = 1 and x = 2. Which of these two values is/are coordinates of points of inflection of the graph of g? Justify your answer. The graph of a function, f, which consists of a two line segments and a semi-circle is pictured below. Let G(x) = x + +(1)dt. Use this information answer questions 1 and 2. 1. What is the value of G(2)? to -2 Graph off 3 (3,-1) 4 (5, 1) 5 H 2. Find the value of G'(2). 3t S. -dt, then what is the value of g'(2)? +1 3. If g(x)= 5. 2x x. 3 x-2 dx = 6. If u=2x-3, then x2x-3dx= 7. If dy dx y and f(0) = -4, find the particular solution to the differential equation. FREE RESPONSE 4+ 3t 2 -2-10 -1 -2 a. Compute the values of g(4) and g(-2). (1,4) (2, 1) 1 2 3 4 The graph of a function f, consisting of three line segments, is pictured above. Let g(x) = f(1)di. b. Find g'(1) and g" (1). Show or explain your work. (4,-1) c. Find the coordinates of the absolute maximum of g on the closed interval [-2, 4]. Justify your answer. d. The second derivative of g is not defined at x = 1 and x = 2. Which of these two values is/are coordinates of points of inflection of the graph of g? Justify your answer.