![Mathematics](/tpl/images/cats/mat.png)
Mathematics, 18.03.2021 14:00, unkown77
This graph represents the function f, consisting of a semicircle and three line segments. It can be graphed
using the piecewise function:
f(x) = {
β4 β (x + 3)^2 β5 β€ x < β1
4x + 4 β1 β€ x < 0
4 0 β€ x < 2
10 β 3x 2 β€ x β€ 5
Let g(x) = 2x + β« f(t) dt x
.
a) Compute g(5). Find gβ²(x) and evaluate gβ²(β3).
b) Find the absolute maximum value of g on the closed interval [β5, 5]. Justify your answer.
c) The second derivative of g is undefined at x = β1, x = 0, and x = 2. Which values are the xcoordinates of the points of inflection of the graph of g? Justify your answer
![answer](/tpl/images/cats/otvet.png)
Answers: 3
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![image](/tpl/images/cats/mat.png)
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