Study Guide for Stewart's Multivariable Calculus, 8th
8th Edition
ISBN: 9781305271845
Author: Stewart, James
Publisher: Brooks Cole
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Chapter 10.3, Problem 2PT
To determine
To identify: The correct option for the blank in the statement, “The polar coordinates of the point with rectangular coordinates
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Convert the point from spherical coordinates to rectangular coordinates.
(4, π, π/3)
Plot the point whose spherical coordinates are (ρ, φ, θ) = (2, π/3, π/4) and give its rectangularcoordinates.
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(−1, 2, 1)
(?, ?, φ) = (
Chapter 10 Solutions
Study Guide for Stewart's Multivariable Calculus, 8th
Ch. 10.1 - The graph of x = 2 + 3t, y = 4 t is a: a) circle...Ch. 10.1 - The graph of x = cos t, y = sin2 t is:Ch. 10.1 - Prob. 3PTCh. 10.2 - Prob. 1PTCh. 10.2 - Prob. 2PTCh. 10.2 - The slope of the tangent line at the point where...Ch. 10.2 - Prob. 4PTCh. 10.2 - Prob. 5PTCh. 10.2 - Prob. 6PTCh. 10.3 - Prob. 1PT
Ch. 10.3 - Prob. 2PTCh. 10.3 - Prob. 3PTCh. 10.3 - Prob. 4PTCh. 10.3 - Prob. 5PTCh. 10.3 - Prob. 6PTCh. 10.4 - Prob. 1PTCh. 10.4 - Prob. 2PTCh. 10.4 - Prob. 3PTCh. 10.5 - Prob. 1PTCh. 10.5 - Prob. 2PTCh. 10.5 - Prob. 3PTCh. 10.6 - The figure at the right shows one point P on a...Ch. 10.6 - Prob. 2PTCh. 10.6 - Prob. 3PTCh. 10.6 - Prob. 4PT
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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_forwardConvert the point from rectangular coordinates to (a) cylindrical coordinates and (b) spherical coordinates. (8, 8, 1)arrow_forwardConvert the point from rectangular coordinates to cylindrical coordinates. (6, 2 3 , −6) (r, ?, z) =arrow_forward
- 8) Can you please help me with "plot the point whose spherical coordinates are given. Then findthe rectangular coordinates of the point"?arrow_forwardConvert the point (x,y,z)=(5,-3,-5) to spherical coordinates. Give answers as positive values, either as expressions, or decimals to one decimal place.(ρ,θ,ϕ)=arrow_forwardFind the polar coordinates (r, θ ) of the point whose rectangular coordinates are (x,y) = (-4,4). Show your work.arrow_forward
- Find the coordinates specified in Exercises 23–25. 26. Give the rectangular and spherical coordinates for thepoint with cylindrical coordinates (4, π/3, 6).27. Give the rectangular and cylindrical coordinates for thepoint with spherical coordinates (8, π/2, π).28. Give the rectangular and cylindrical coordinates for thepoint with spherical coordinates (6, π/4, π/4).arrow_forwardWrite the equations for converting from cylindrical torectangular coordinates. In what situation would you usecylindrical coordinates?(b) Write the equations for converting from spherical torectangular coordinates. In what situation would you usespherical coordinates?arrow_forwardFind an equation in spherical coordinates for the surface represented by the rectangular equation.arrow_forward
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