University Calculus: Early Transcendentals, Books a la Carte Edition (3rd Edition)
3rd Edition
ISBN: 9780321999610
Author: Joel R. Hass, Maurice D. Weir, George B. Thomas Jr.
Publisher: PEARSON
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Use polar coordinates to find the volume of the solid region bounded above by z = (16 - x2 - y2)1/2 and below the circular region R given by x2 + y2 < 4.
Find
8
lim
x +4
(x, y) = (0, 0) (x² + y²)
by converting to polar coordinates.
L
Find the local maximum and minimum values and saddle points of the function f(x, y) = y3 + 3x2y - 6x2 +2.
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- Find the surface area of the portion of the hemisphere f(x, y) = (25 - x2 - y2) that lies above the region R bounded by the circle x2 + y2 < 9.arrow_forwardUse the method of Lagrange multipliers to maximize the function f(x, y, z) = xyz subject to the constraint g(x, y, z) = 2xz +2yz +xy = 12.arrow_forward17) Evaluate. Sin (x²) dx dy by reversing the order of integration.arrow_forward
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