QUESTION 9 Find the maximum value of f(x,y) = 5x + 12y subject to g(x,y) = 0. g(x,y) = x2 + y2 - 1. Round off to two decimal places. QUESTION 10 A region is bounded by y = 0, y = x°, and x = 4. Find the x coordinate of the center of mass. Round off to two decimal places. Remember if A is the area of the region then 1 x = хаydx A QUESTION 11
QUESTION 9 Find the maximum value of f(x,y) = 5x + 12y subject to g(x,y) = 0. g(x,y) = x2 + y2 - 1. Round off to two decimal places. QUESTION 10 A region is bounded by y = 0, y = x°, and x = 4. Find the x coordinate of the center of mass. Round off to two decimal places. Remember if A is the area of the region then 1 x = хаydx A QUESTION 11
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:QUESTION 9
Find the maximum value of f(x,y) = 5x + 12y subject to g(x,y) = 0. g(x,y) = x2 + y2 - 1. Round off to two decimal places.
QUESTION 10
A region is bounded by y = 0, y = x°, and x = 4.
area of the region then
Find the x coordinate of the center of mass. Round off to two decimal places. Remember if A is the
1
X =
хаydx
A
QUESTION 11
A space is bounded below by the first quadrant of the unit circle and above by f(x,y) = 9x + 5y. Use a triple integral in cylindrical coordinates to find
the the volume, Round off to two decimal places
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