University:
Georgia Southern University
Course:
MATH 2243 | Calculus 3
Academic year:

2024
Views:

184

Pages:

2
Author:

Jalen W.

Instructor: Shijun Zheng Course: Spring 2023 - Calculus III (MATH2243-A-B) Student: Jalen Wilson Date: 07/11/24 4 1. 1 ∫ ∫ 18x2 y5 dy dx. Evaluate the iterated integral −2 0 4 1 ∫ ∫ 18x2 y5 dy dx = 72 (Simplify youranswer.) −2 0 0 2. 1 ∫ ∫ Evaluate the iterated integral (5x + 6y + 17)dx dy. −1 −1 0 1 ∫ ∫ (5x + 6y + 17)dx dy = 28 (Simplify youranswer.) −1 −1 YOUANSWERED: 7 3. Evaluate the iterated integral. ln 2 ln 4 ∫ ∫ 0 1 e4x + 3y dy dx ln 2 ln 4 ∫ ∫ 0 1 e4x + 3y dy dx = 960 − 15e 3 12 (Type an exactanswer.) 4. Find the limit by rewriting the fraction first. xy − y − 6x + 6 lim x−1 (x,y)→(1,4) x≠1 lim (x,y)→(1,4) xy − y − 6x + 6 x−1 = −2 (Simplify your answer.) x≠1 3π 5. 5 2 Evaluate the iterated integral ∫ ∫π x sin y dy dx. 2 3π 5 2 ∫∫ 2 π x sin y dy dx = − 21 2 (Simplify youranswer.) Assignment: Section 15.1 Enhanced Assign 6. Evaluate the double integral over the given region R. ∫ ∫ xy cos y dA R: − 4 ≤ x ≤ 4, 0 ≤ y ≤ π R ∫ ∫ xy cos y dA = R (Simplify youranswer.) 0

Section 15.1 Enhanced Assignment

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