Answered: 1. By switching to polar coordinates,… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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Question

q1 Vector Calculus. Please write clearly and each computation step for the question. Need steps，thanks

1. By switching to polar coordinates, calculate
4-x2
x² dy dx.
2. Let D be the parallelogram in R? whose vertices are (0,0), (1, 1), (2, –1) and (3,0). By substi-
tuting x = u + 2v and y = u – v, calculate
(x + 2y)²e²-y.
D
3. Let R be the solid cone in R³ whose base is the standard unit circle (given by x² + y²
z = 0) and whose vertex is the point (0, 0, 1). Calculate
= 1 and
22 dV.

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