I understand a & c but need help with b & d Let f be the continuous function defined on [−4, 3]whose graph, consisting of three line segments and asemicircle centered at the origin, is given above. Let gbe the function given by g(x) = f* f(t) dt.(a) Find the values of g(2) and g(-2).(b) For each of g′(−3) and g”(–3), find the value orstate that it does not exist.(-4,1)(-2, 3)O(1,0)(3,-1)(c) Find the x-coordinate of each point at which thegraph of g has a horizontal tangent line. For eachGraph of fof these points, determine whether g has a relative minimum, relative maximum, or neither a minimum nora maximum at the point. Justify your answers.(d) For -4 < x < 3, find all values of x for which the graph of g has a point of inflection. Explain yourreasoning.

the graph given to us consists of the three lines and semicircle and the function is continuous on…

Let f be the continuous function defined on [-4, 3] whose graph, consisting of three line segments and a semicircle centered at the origin, is given above. Let g be the function given by g(x) = f(t) dt. (a) Find the values of g(2) and g(-2). (b) For each of g'(-3) and g"(-3), find the value or state that it does not exist. (-4,1)✔ (-2, 3) (1, 0) (3,-1) (c) Find the x-coordinate of each point at which the graph of g has a horizontal tangent line. For each Graph of f of these points, determine whether g has a relative minimum, relative maximum, or neither a minimum nor a maximum at the point. Justify your answers. (d) For -4 < x < 3, find all values of x for which the graph of g has a point of inflection. Explain your reasoning.

Let f be the continuous function defined on [-4, 3] whose graph, consisting of three line segments and a semicircle centered at the origin, is given above. Let g be the function given by g(x) = f(t) dt. (a) Find the values of g(2) and g(-2). (b) For each of g'(-3) and g"(-3), find the value or state that it does not exist. (-4,1)✔ (-2, 3) (1, 0) (3,-1) (c) Find the x-coordinate of each point at which the graph of g has a horizontal tangent line. For each Graph of f of these points, determine whether g has a relative minimum, relative maximum, or neither a minimum nor a maximum at the point. Justify your answers. (d) For -4 < x < 3, find all values of x for which the graph of g has a point of inflection. Explain your reasoning.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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