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

2024
Views:

430

Pages:

2
Author:

Jalen W.

Instructor: Shijun Zheng Course: Spring 2023 - Calculus III (MATH2243-A-B) Student: Jalen Wilson Date: 07/11/24 Assignment: Sect 15.2 Enhanced Assign 1. Sketch the described region of integration. 0 ≤ x ≤ 2, 0 ≤ y ≤ 4x Choose the correct sketch of the described region. A. B. 10 y C. 10 y 10 x -3 2. 10 -3 Write an iterated integral for D. y x -3 -3 10 10 y x -3 -3 ∫∫ dA over the region R described to 10 x -3 10 -3 y R the right using a. verticalcross-sections, b. horizontalcross-sections. y = 5x R 2 y=x x a. Write the correct iterated integral using verticalcross-sections. Select the correct answer below and fill in the answer boxes to complete your choice. A. 5 5x ∫ ∫ 0 B. ∫ dy dx 2 x ∫ dx dy b. Write the correct iterated integral using horizontalcross-sections. Select the correct answer below and fill in the answer boxes to complete your choice. 25 A. y ∫ ∫ 0 y dx dy 5 B. ∫ ∫ dy dx π x 3. Evaluate the integral ∫ ∫ 4x sin y dy dx. 0 0 The value is 2 2π + 8 . (Type an exactanswer, using π asneeded.) 4. Sketch the region ofintegration, reverse the order ofintegration, and evaluate the integral. 4 4 ∫ ∫ x2 exy dx dy 0 y Choose the correct sketch below that describes the region R from the double integral. A. 5 B. C. y 1 -5 y x 5 D. y 1 1 -5 x -1-1 -5 -1-1 What is an equivalent double integral with the order of integrationreversed? 4 x ∫ ∫ 0 0 The value of the integral is 2 xy x e e 16 − 17 2 dy dx . (Type an exactanswer.) 5 x 1 x 5 y -5