rt) dt, where f is the function whose graph is shown. /, 0 Let g(x)- f(t) 2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin xmin = xmax = Xmax (smaller x-value) (larg...

Question

Question

rt) dt, where f is the function whose graph is shown. /, 0 Let g(x)- f(t) 2 (a) At what values of x do the local maximum and (d) Sketch the graph of g. 0.5 -0.5 2 46 810 0.5 -0.5 10

rt) dt, where f is the function whose graph is shown. /, 0 Let g(x)- f(t) 2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin xmin = xmax = Xmax (smaller x-value) (larger x-value) (smaller x-value) (larger x-value) (b) Where does g attain its absolute maximum value? (c) On what interval is g concave downward? (Enter your answer using interval notation.)
(d) Sketch the graph of g. 0.5 -0.5 2 46 810 0.5 -0.5 10

math calculus

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

(a)The points where g'(x)=f(t)=0

function g(x) will have maxima if f(t) is changing its sign from positive to negative (from above x-axis to below x-axis)

function g(x) will have maxima if f(t) is changing its sign from negative to positive (from below x-axis to above x-axis)

Xmin=4

Xmin=8

Xmax=2

Xmax=6

(b)Absolute maxima

x=2

(c)g(x) will concave up if g''(x)=f'(t)>0 (when we try to draw a tangent on graph f(t) it should have positive slope)

(0,1)U(3,5)U(7,9)

Add a comment

Answer 2

rt) dt, where f is the function whose graph is shown. /, 0 Let g(x)- f(t) 2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin xmin = xmax = Xmax (smaller x-value) (larg...

Homework Answers

Add Answer to:
rt) dt, where f is the function whose graph is shown. /, 0 Let g(x)- f(t) 2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin xmin = xmax = Xmax (smaller x-value) (larg...

Post as a guest

Earn Coins

Let g(x) La f(t) dt, where fis the function whose graph is shown. 2 + t...

[(CO)] Let g(x) = f f(t) dt, where f is the function whose graph is shown....

I have one attempt left for part c Let g(x) = ( t) dt, where f...

5pt 1. Let g() = | f(t) dt, where f is the function whose graph is...

Problem 12: Let g(x) = Sof) dt, where f is the function whose graph is shown...

0.09/1 points Previous Answers SCalcET8 5.3.002. Let g(x)-f(t) dt, where f is the function whose graph is shown (a) Evaluate g(x) for x 0, 1, 2, 3, 4, 5, and 6 g(0)0 9(2)-8 g(3)-( 20 9(4)- 9(5)...

Let gfx)-ft) dt where f is the function whose graph is shown. 20 30 (a) Evaluate gx) for x0, 5, 1...

Let gx)- t) dt, where f is the function whose graph is shown (a) Evaluate gtx) for x - 0, 1, 2, 3, 4, 5, and 6 gt1)-1/2 0t2)-0 g(3) - -1/2 ot4)-0 9(5)-3/2 9(6)-4 (b) Estimate g(7). (Use the midpo...

(1 point) Let F(x) = [” f(e) dt, where f(t) is the graph in the figure....

(1 point) Let F(x) = ļ," f(t) dt, where f(t) is the graph in the figure....

rt) dt, where f is the function whose graph is shown. /, 0 Let g(x)- f(t) 2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin xmin = xmax = Xmax (smaller x-value) (larg...

Homework Answers

Add Answer to: rt) dt, where f is the function whose graph is shown. /, 0 Let g(x)- f(t) 2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin xmin = xmax = Xmax (smaller x-value) (larg...

Post as a guest

Earn Coins

Add Answer to:
rt) dt, where f is the function whose graph is shown. /, 0 Let g(x)- f(t) 2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin xmin = xmax = Xmax (smaller x-value) (larg...