Consider the figure below. y=f(x) Evaluate. 1 ['rs. O 2. /Ral dx = 0 Let A(x)...
Let A(x)=∫(bounds 0 to x) f(t)dt, with f(x) as in figure. Let A(z) = J f(t) dt, with f(z) as in figure. -1 -2 A()l has a local minimum on (O A(z) has a local maximum on (0, 6) at a 6.5 Let A(z) = J f(t) dt, with f(z) as in figure. -1 -2 A()l has a local minimum on (O A(z) has a local maximum on (0, 6) at a 6.5
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...
1 (a) Evaluate the integral sz? dx. (32-7) 5 2 7 (b)if s f(x)dx = 3 and 5 f(x)dt = 4, find S f(x)dr. 5
2. Evaluate the following indefinite integrals: (a) vel V=(x+2) dx ET (b) 3. Evaluate the following definite integrals: (a) cos(x) da (sin(x) +18 (b) COS 4. The graph of y=g(t) is shown below, and consists of semicircles and line segments. y=g() -1 3 6 596 s(t) dt Define the function f(x) by f(x)= Use the graph of y = g(t) and the properties of the definite integral to find: (a) the value of (i) f(3) (ii) f(-1) (iii) 1'(6) (b)...
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 midpoint to get the most precise estimate.) 9(7)- (c) Where does g have a maximum and a minimum value? minimumx maximum x (d) Sketch a rough graph of g. Let gx)- t) dt, where f is the function whose graph...
hw help Consider the equation exin(y)+5x +1=y? Find dy dx in terms of X and y. Evaluate dx at (x,y) = (0,1). Select the correct answer. -5 5 ООО 2 Suppose that 3 xy2 = x²y + y2 + 14. dy Use implicit differentiation to find an expression for in terms of both X and y. dx dy Now give the value of when x = 3 and y = 2 dx -36 13 3 0 24 41 о ....
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
Let S f(w)dt = 6, f(x)dx = -4, log(x)dt = 12, 9(x) dx = 9 Use these values to evaluate the given definite integral: -3 (f(x) f(x) + g(x)) dx
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)+...