x''-2x'+x=4e^t

Calculate y'' and y''' y(x)=9e^x/x

t(x)=x^2-2x^3/x t'(x)=

8. y 3 1 -5 -4 -3 -2 -10 -1 -24 -3- 1 2 2 3 4 5 (3,-1) The graph of a function f consists of a semicircle and two line segments as shown above. Let g be the function given by g(x) = f* f(t)dt. a. Find g(3). Show the work that leads to your conclusion. 2 9 ( 3 ) = {f(t)dt = $²f(t)dt + 5² f ( t ) d t 0 2 4711 · 2²^² + - 1/2 (3-2) (-1-0) 17+ - 1 (x-1) = (1 - -/-/-) b. Find the values of x on the interval (-2,5) at which g has a relative maximum. Justify your answer. g" (x) = 0 c. Write the equation of the line tangent to the graph of g at x = 3.