Explanation Given information: The graph Calculation: As per given graph To estimate: I = ∫ 0 3 f ( x ) d x Here we have Δ x = 1 and n = 3 − 0 1 = 3 Now using Left Hand Sum method and Right Hand Sum method to evaluate the required value Left Hand Sum (Say L ): L = f ( 0 ) ⋅ 1 + f ( 1 ) ⋅ 1 + f ( 2 ) ⋅ 1 = 1 ⋅

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 5.2, Problem 22P

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Use the given graph to estimate ∫03f(x)dx.

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Chapter 5.2, Problem 21P

Chapter 5.2, Problem 23P

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(#1) Consider the solid bounded below by z = x² and above by z = 4-y². If we were to project this solid down onto the xy-plane, you should be able to use algebra to determine the 2D region R in the xy-plane for the purposes of integration. Which ONE of these limite of integration would correctly describe R? (a) y: x24x: -22 - (b) y: 22 x: 04-y² (c) y: -√√4-x2. →√√4x²x: −2 → 2 (d) z: 24-y² y: -2 → 2 (e) None of the above

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Use the given graph to estimate ∫ 0 3 f ( x ) d x .

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Chapter 5 Solutions