Study Guide for Stewart's Multivariable Calculus, 8th
8th Edition
ISBN: 9781305271845
Author: Stewart, James
Publisher: Brooks Cole
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Chapter 15.8, Problem 1PT
To determine
The appropriate option for the statement “Spherical coordinates of the point with rectangular coordinates
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2- When rotating the triangle (abc) by 30 about the origin, where a-(1,1), b-(4,1) & e-(4,3), the new
coordinates of point (c) will be:
a. (-0.23,3.5)
c. (1.6, 3.2)
b. (1.5,1.5)
d. (0.52, 1.59)
write the equation in spherical coordinates
a) 3x2 − 4x + 3y2 + 3z2 = 0
b)
6. Find the rectangular coordinates of the point (,5, 7) which is in spherical
6 2)
coordinates.
Chapter 15 Solutions
Study Guide for Stewart's Multivariable Calculus, 8th
Ch. 15.1 - Prob. 1PTCh. 15.1 - Prob. 2PTCh. 15.1 - Let R={(x,y)|3x5,2y4}andf(x,y)=y2x2.For every...Ch. 15.1 - Sometimes, Always, or Never: Rf(x,y)dA is the...Ch. 15.1 - Prob. 5PTCh. 15.1 - Prob. 6PTCh. 15.1 - Prob. 7PTCh. 15.1 - Prob. 8PTCh. 15.2 - Prob. 1PTCh. 15.2 - Prob. 2PT
Ch. 15.2 - Prob. 3PTCh. 15.2 - Prob. 4PTCh. 15.3 - Prob. 1PTCh. 15.3 - Prob. 2PTCh. 15.4 - Prob. 1PTCh. 15.4 - Prob. 2PTCh. 15.4 - Prob. 3PTCh. 15.4 - True or False: For f(x, y) = x2(x + y), x and y...Ch. 15.5 - Prob. 1PTCh. 15.6 - Prob. 1PTCh. 15.6 - Prob. 2PTCh. 15.6 - EzdV, where E is the wedge-shaped solid shown at...Ch. 15.6 - Prob. 4PTCh. 15.7 - Prob. 1PTCh. 15.7 - Prob. 2PTCh. 15.7 - Prob. 3PTCh. 15.7 - Prob. 4PTCh. 15.8 - Prob. 1PTCh. 15.8 - Prob. 2PTCh. 15.8 - Prob. 3PTCh. 15.8 - Prob. 4PTCh. 15.9 - Find the Jacobian for x = u2v2, y = u2 + v2. a)...Ch. 15.9 - Find the iterated integral for RdA, where R is the...
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- Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a orthocenter? b centroid?arrow_forwardDoes the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?arrow_forwardDoes a right circular cylinder such as an aluminum can have a symmetry with respect to at least one plane? b symmetry with respect to at least one line? c symmetry with respect to a point?arrow_forward
- Consider the spherical coordinate point (3,1,) Convert to Cartesian coordinates.arrow_forwardPlot the point whose spherical coordinates are given. Then find the rectangular coordinates of the point. (a) (8, 37, 7) 4 (x, y, z) = (b) (5,-2) (x, y, z) = D)arrow_forwardDetermine the cylindrical coordinates of the point with rectangular coordinates (4√3,4,-4).arrow_forward
- If (V3, -3, -v4) is the rectangular coordinate of the point p, then the spherical coordinate of p = (p,0,6) is: | A) (4, ) B) (4, 풍, 똥) 11 57 C) (4, 똥, 중) D) (4,등, 품) E) (4, 똥, 좋) O A OB O C OD O Earrow_forward18) B D Suppose that rectangle ABCD is dilated to A'B'C'D' using (0, 0) as the center and a magnitude of 2. What are the coordinates of A'? ) A) (8, 6) B) (-8, 6) C) (8, -6) D) (-8, -6)arrow_forward
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