X ? E Test: Chapter 6 Test Question 1 of 10 This test: 10 point(s) possible This question: 1 point(s) possible Submit test Question list K Find the derivative of f(x) and the indefinite integral of g(x). f(x) = 5x; g(x) =x4 O Question 1 F' ( x ) = [ O Question 2 Jo(x) ax = O Question 3 O Question 4 O Question 5 O Question 6 O Question 7 Question 8 Next Q Search O W 32X ? E Test: Chapter 6 Test Question 2 of 10 This test: 10 point(s) possible This question: 1 point(s) possible Submit test Question list K Find real numbers b and c such that f(t) = eb ect f (t ) = @6(4 - t) O Question 1 What is b? Question 2 b = 0 6.2.1 What is c? O Question 3 c = 0 O Question 4 O Question 5 O Question 6 O Question 7 Question 8 Next Q Search O W 32X ? E Test: Chapter 6 Test Question 3 of 10 This test: 10 point(s) possible This question: 1 point(s) possible Submit test Question list K Integrate by parts. Assume x = 0. * 10 In x dx O Question 1 O Question 2 [ x 10 In x dx = O Question 3 O Question 4 O Question 5 O Question 6 O Question 7 Question 8 Next Q Search O WX ? E Test: Chapter 6 Test Question 4 of 10 This test: 10 point(s) possible This question: 1 point(s) possible Submit test Question list K Evaluate the following definite integral to two decimal places 30 0.061 0.10(30 -1) at O Question 1 O Question 2 [0.061 0.10(30-1) at = Question 3 (Round to two decimal places as needed.) O Question 4 O Question 5 O Question 6 O Question 7 Question 8 Next Q Search O W 32X E Test: Chapter 6 Test Question 5 of 10 This test: 10 point(s) possible This question: 1 point(s) possible Submit test Question list K If you want to use integration by parts to find |(x + 3) (x + 4) dx, which is the better choice for u: u = (x + 3) or u = (x + 4)? Explain your choice then integrate. C.. O Question 3 Choose the correct answer below. O A. The better choice is u = (x + 3) because it is easier to integrate Ju dv. O Question 4 O B. The better choice is u = (x + 4) because it is easier to integrate ju dv. Question 5 O C. The better choice is u = (x + 3) because it contains a quantity to a power. O D. The better choice is u = (x + 4) because it is next to dx in the integrand. O Question 6 (x + 3)5 (x + 4 ) dx = O Question 7 O Question 8 Question 9 Question 10 Next Q Search O WX E Test: Chapter 6 Test Question 6 of 10 This test: 10 point(s) possible This question: 1 point(s) possible Submit test h(x) Question list K Explain why h(x)dx does not represent the area between the graph of y = h(x) and the x axis from x = a to x = b in the figure to the right. O Question 3 O Question 4 Choose the correct answer below. O Question 5 O A. The shaded region is below the x-axis, so h( - x)dx represents the shaded area. O Question 6 O B. The top boundary of the shaded region is y = 0, so | h(x)dx represents the shaded area. O Question 7 O C. The shaded region is below the x-axis, so h(x)dx represents the negative of the area. O Question 8 o O D. The top boundary of the shaded region is y = 0, so | h(x)dx represents the shaded area. Question 9 a Question 10 Next Q Search 18838 O W 32X ? E Test: Chapter 6 Test Question 7 of 10 This test: 10 point(s) possible This question: 1 point(s) possible Submit test Question list K Find the area bounded by the graphs of the indicated equations over the given interval. y = viy = 0; 1sxse O Question 3 O Question 4 The area is (Round to three :d.) O Question 5 units square units. O Question 6 cubic units. O Question 7 O Question 8 O Question 9 Question 10 Next Q Search amazon 15888 W 32X ? E Test: Chapter 6 Test Question 7 of 10 This test: 10 point(s) possible This question: 1 point(s) possible Submit test Question list K Find the area bounded by the graphs of the indicated equations over the given interval. y= Vi y=0; 1sxse O Question 3 O Question 4 The area is V (Round to three decimal places as needed.) O Question 5 O Question 6 O Question 7 O Question 8 O Question 9 Question 10 OneDrive . . . X Screenshot saved The screenshot was added to your OneDrive. Q Search amazon 15888 WX ? E Test: Chapter 6 Test Question 8 of 10 This test: 10 point(s) possible This question: 1 point(s) possible Submit test Question list K Use a geometric formula to find the area between the graphs of y = f(x) and y = g(x) over the indicated interval. f(x) = x, g(x) =164 -x2 ; [0,412] O Question 3 The area is . (Type an exact answer, using it as needed.) O Question 4 O Question 5 Question 6 O Question 7 O Question 8 O Question 9 Question 10 Next Q Search O WX ? E Test: Chapter 6 Test Question 9 of 10 This test: 10 point(s) possible This question: 1 point(s) possible Submit test Question list K Evaluate the following definite integral to two decimal places [0.04(9-1) at O Question 3 O Question 4 [0.04(9-1) at= ](Round to two decimal places as needed.) O Question 5 Question 6 O Question 7 O Question 8 Question 9 Question 10 Next Q Search O WX ? E Test: Chapter 6 Test Question 10 of 10 This test: 10 point(s) possible This question: 1 point(s) possible Submit test Question list K Find real numbers b and c such that f(t) = eb ect f(t) = 0.05t 0.03(25 -1) O Question 3 What is b? O Question 4 What is c? O Question 5 c = 0 Question 6 O Question 7 O Question 8 O Question 9 OneDrive X O Question 10 . . . Screenshot saved The screenshot was added to your OneDrive. Q Search O W