# underestimate overestimate

1. (-/1 Points] DETAILS SCALCET8 5.1.003. MY NOTES (a) Estimate the area under the graph of f(x) = 3/x from x = 1 to x = 2 using four approximating endpoints. (Round your answer to four decimal places.) 1.9035 Sketch the graph and the rectangles. 2 3 31 o 1 Is your underestimate or an overestimate? underestimate overestimate (b) Repeat part (a) using left endpoints. (Round your answer to four decimal places.) 2.2785 Sketch the graph and the rectangles. 3 31 2 2 2. (-12 points) DETAILS SCALCET8 5.2.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOT The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. у y = fx) 2 х 0 4 6 8 {(3)(2) (a) [*am dx 4 나 f(x) dx 3(2)(2)C3) f(x) dx -3 (d) [ R(x) dx 2. (-/1 Points) DETAILS SCALCET8 5.3.009. MY NOTES ASK YOUR TEACH Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) = Ir- (t – t??dt 9′(s) = 1. (-/1 Points) DETAILS SCALCET8 5.2.002 MY NOTES ASK YOUR TEACHER IT f(x) – 2 cos(x) OSXS 3x/4 evaluate the Riemann sum with n=6, taking the sample points to be left endpoints. (Round your answer to six decimal places.) T/8 What does the Riemann sum represent? Illustrate with a diagram. у 3 3 SR 8 8 4 8 0-21 у KI 31 8 8 8 2 0-21 Explain. The Riemann sum represents the net area of the rectangles with respect to the —Select- 5. [-/1 Points) DETAILS SCALCET8 5.4.059. MY NC The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t – 5, Osts 3 (a) Find the displacement. – 3 2 (b) Find the distance traveled by the particle during the given time interval. 118 m m 15 8. (-12 points) DETAILS SCALCET8 5.5.041. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) | cot cot(36x) dx Cot (360) 36 – x + c Need Help? Read it Watch It 4. [-12 Points] DETAILS SCALCET8 5.5.017. MY NOTES ASK YOUR TEACHER PRACTIC Evaluate the indefinite integral. (Use C for the constant of integration.) eu du (4 – eu)2 I tc 4-eu Need Help? Read It Watch It

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