Question

Please show solution steps. Thanks!

11. Give the values of the definite integrals: 1., (x) dx = 12, 1,8(x) dx = -6, 5, 8(x) dx = 24 find: |.[2f(x) + 4g(x)] dx = b) {**$(x) dx = — c) | ,8(x) dx = 12. (8 pts.) The graph of f'(x) is given. Identify the following properties for f(x). YA y= f'(x) far a) What are the x-values of the critical numbers on the graph: b) Make a sign chart for the first derivative c) Intervals where f(x) is increasing: d) Intervals where f(x) is decreasing: e) x values for all local maxima of f(x): f) x values for all local minima of f(x):

Answer 1

(x)dx = - 6 Soil (x)dt - 12, Li © 4 grande = 4 영 잇 da @ given r[x] [ a f(x) + 4 8 2 2 9 맛 2 fraldatu g계dk -2 2 22 finidx + 482 grada - 2 = 2 12 + UX-6 he = - 21 (5) given | ge)dx - gdx 2 2 - Cli g(x)dx 1 ㅅ - (-6) : 914 3

Э given grada Е. 9 У. 2 9 (x)dx - ) * xP(к) в grada Во - 6 + 2 у 8 | 43