Study Guide for Stewart's Multivariable Calculus, 8th
8th Edition
ISBN: 9781305271845
Author: Stewart, James
Publisher: Brooks Cole
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Chapter 15.7, Problem 2PT
To determine
The appropriate option for the statement “The rectangular coordinates of the point with cylindrical coordinates
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4. Find the image of triangle ABC after rotating 90 degrees counterclockwise
about the origin. What are the coordinates of C' ?
y
4
-4
-2
B
2.
4
A-
-4
O a) (3, -4)
b) (-4, -3)
O c) (4, 3)
O d) (-3, 4)
If a point A has the rectangular coordinate (V2, v2, v3), so its cylindrical coordinates
are (2, , V3)
Select one:
O True
O False
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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- 24 Resolveu = [8, 3, 5] into rectangular components, one of which is collinear with v = [3, 1, 2].arrow_forwardFind the cylindrical coordinates for the point whose rectangular coordinates are (2, 2, -1).arrow_forward1. Convert the point (1,1, v2) from Cartesian to spherical coordinates. (a) (vz. vz) (b) (1.#,v2) (o) (V2등,1) (d) (vz, 1, )arrow_forward
- Consider a point in Cartesian coordinates given by (-2,2√3,4). Find a corresponding point in the given coordinate (a) Cylindrical (b) Sphericalarrow_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_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
- Determine the cylindrical coordinates of the point with rectangular coordinates (4√3,4,-4).arrow_forwardConvert the point (p, 0, b) = (4, :) 5T 5T " 3 6 expressions, or decimals to at least one decimal place. (x, y, z) = 3] to Cartesian coordinates. Give answers either asarrow_forwardIdentify the surface for p sin y = 9.arrow_forward
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