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 2PT
To determine
The appropriate option for the statement “Rectangular coordinates of the point with spherical coordinates
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Determine the cylindrical coordinates of the point with rectangular coordinates
(4√3,4,-4).
Plot 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)
Convert point P(0, −4, 3) from Cartesian to cylindrical and spherical coordinate.
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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- 1. Convert the point (1,1, v2) from Cartesian to spherical coordinates. (a) (vz. vz) (b) (1.#,v2) (o) (V2등,1) (d) (vz, 1, )arrow_forward10. a) Convert the point (1, – 2, 3) from rectangular to cylindrical coordinates. b) Convert the point (6, ,-4) from cylindrical to rectangular coordinatesarrow_forward1. Convert the point (-1,1, v2) from Cartesian to spherical coordinates. (a) (vZ., vz) (b) (1.프, V2) (c) (vz..1) (d) (vz, 1, )arrow_forward
- Change from rectangular to spherical coordinates (0, 4sqrt3, 4) and (-3,3,3sqrt6)arrow_forwardIdentify the surface for p sin y = 9.arrow_forward2- 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)arrow_forward
- 6. Find the rectangular coordinates of the point (,5, 7) which is in spherical 6 2) coordinates.arrow_forwardIf (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_forwardChange from rectangular to cylindrical coordinates. Select such set of cylindrical coordinates as E [0, 2). (a) (4, -4, 1). (r, e, z) = (32 7π 4 1 (b) (-3, -3√3, 4). (r, e, z)=(36 × 5π +-|ལྦ་ 4 ).arrow_forward
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