The graph of f is shown in image. Let g(x) = the integral from 0 to x of f(t)dt. Find g(0), g prime of 0 and g prime of 2
The graph of f is shown in image. Let g(x) = the integral from 0 to...
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) 9(6) ) g(6)- (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) 9(7)- (c) Where does g have a maximum and a minimum value? minimum x= maximum x= (d) Sketch a rough graph of g. 7 83 gtx ry again....
The graph of function g is shown below. Let f(x) g(t) dt. y 8 7 6+ 5 9 4 34 2+ 1 -4 -3 -2 -1 2 3 4
please explain in detail 4 -11 23 4 Graph of f Let f be a continuous function defined on the closed interval -1Sxs4. The graph of f, consisting of three line segments, is shown above. Let g be the function defined by g(x) = 5 +1.f(t) dt for-1 $154. (A) Find g(4). (B) On what intervals is gincreasing? Justify your answer. (C) On the closed interval 1 s xs 4, find the absolute minimum value of g and find the...
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...
y = f(0 The graph of f is shown in the figure to the right. Let A(x) = f(t) dt and F(x) = f(t) dt be two area functions for f. Evaluate the Area = 18 following area functions. Area = 9 a. A(-2) b. F(8) c. A(4) d. F(4) e. A(8) + Area = 8 a. A( - 2) = b. F(8)= (Simplify your answer.) (Simplify your answer.) c. A(4) = (Simplify your answer.) d. F(4) = (Simplify your...
The graph of f is given to the right. Let g(x) = | FO) dt. 2 v=f(x) 1 3 -2 1 0 1 2 1 X -2 (a) Find g(1). (b) Find g'(-2). (c) Find g'(1). (d) On what interval is g increasing?
The graph of f is shown to the right. The function F(x) is defined by for . a) Find F(0) and F(3). b) Find F'(1). c) For what value of x does F(x) have its maximum value? What is this maximum value? d) Sketch a possible graph of F. Do not attempt to find a formula for F. (You could, but it is more work than necessary.) We were unable to transcribe this imageWe were unable to transcribe this image9-3....
[(CO)] Let g(x) = f f(t) dt, where f is the function whose graph is shown. y Also 0,4 0,2 v -0,2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin (smaller x-value) Xmin = (larger x-value) Xmax = (smaller x-value) Xmax (larger x-value) (b) Where does g attain its absolute maximum value?
5001 1 +- +-- 400 300 1200 100 -0 0.5 -100 Graph of rs 3. Let f and g be given by f(x)- xe and g(x)-(). The graph of f, the fifth derivatve of f is shown above for (a) write the first four nonzero terms and the general term of the Taylor series for e, about x = 0 . Write the first four nonzero terms and the general term of the Taylor series for f about x 0....
11. The graph of fis shown. Determine the value of f (x)dx= y = f(x) - X 16 32 48 64 1 12. Consider the definite integral s sin(tw) dw. What is the interval of integration for this integral? What is the variable of integration? What is the integrand? 13. Suppose that f* f(x) dx = 5, ſ. f(x)dx = -3, * g(x)dx = -1 and 1 g(x)dx = 7. Determine the value of each integral. Box Answer (5) $(x)+...