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

2024
Views:

266

Pages:

3
Author:

Jalen W.

Instructor: Shijun Zheng Course: Spring 2023 - Calculus III (MATH2243-A-B) Student: Jalen Wilson Date: 07/11/24 Assignment: Sect 15.7 Enhanced Assign 1. Sketch the graph described by the following cylindrical coordinates inthree-dimensional space. r=4 Choose the correct answer below. A. B. C. D. E. F. G. H. 2. Sketch the graph described by the following cylindrical coordinates inthree-dimensional space. z= −4 Choose the correct answer below. A. B. C. D. E. F. G. H. 3. Sketch the graph described by the following cylindrical coordinates inthree-dimensional space. r2 + z2 = 4 Choose the correct answer below. A. B. C. D. E. F. G. H. 4. Sketch the graph described by the following cylindrical coordinates inthree-dimensional space. r≤z≤ 4−r 2 Choose the correct answer below. A. B. C. 5. Evaluate the cylindrical coordinate integral π 2 2 −2 The value is 3 π 1 2 − r2 0 0 r ∫∫ ∫ dz r dr dθ. . (Type an exactanswer, using π and radicals asneeded.) 6. Evaluate the following integral. 2π 4 z/4 ∫ 0 ∫ 0∫ 0 2π 4 z/4 ∫ 0 ∫ 0∫ 0 2 2 r dr dz dθ r dr dz dθ = 2π 3 (Type an exactanswer.) D. π π 2 sin ϕ 7. Evaluate the spherical coordinate integral ∫∫ ∫ 0 0 The value is π2 . (Type an exactanswer, using π asneeded.) 0 ρ2 sin ϕ dρ dϕ dθ.

Sect 15.7 Enhanced Assign

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