Problem #7: Evaluate the following integralSSProblem #7:3x+y(6x-y) In(6x-y)dAwhere R is the region bounded by the graphs of y = 6x-e8, y = 6x-e, y=-3x+2, and y=-3x + 8. Usethe change of variables = 6x-y, v= 3x+y.Enter your answersymbolically, as in theseexamples

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Answered: Evaluate the following integral 3x+y dA…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CR: Review Problem Set

Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.

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Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
Q.No.4 Differentiate the following Y= (x²+3)x1 Y= ax²+b/ cx Y= 7x*+2x³-3x+37
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Example 3.26 Define the region bounded by y = 0, y=4Vx , y = 24 - 2x and y = x -4 using vertical and horizontal sections (lines perpendicular and parallel to the x-axis).
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b) Show that Δ2y0 = y2-2y1 + y0.
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2. Use Lagrange multipliers to find the extreme values of f(x, y) = 2x² + 3y² - 4x - 5 on the region x² + y² ≤ 16.
Consider the following equations. y = -x² + 2x + 2 y = -x + 2 Sketch the region bounded by the graphs of the equations. y -10 -10 -5 -5 10 5 -5 -10F y 10 5 -5 - 10 Find the area of the region. 5 5 10 10 y 10 10 5 5 X X -10 -5 5 10 - 10 -5 5 -5 -5F -10 X -10F 10 X

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Evaluate the following integral 3x+y dA (x-3) ln(x-1) R - where R is the region bounded by the graphs of y 6x-e8, y = 6x-e, y=-3x+2. and y=-3x + 8. Use the change of variables = 6x-y, v= 3x+y. V