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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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First question: find using the transformation v = 3x =
V,u= 4x+3y, the product of the integral
|| (12x2 + 13xy + 3y²)dA
where D is the region defined by the functions
4
4
y =
1
y = -x+ 1,
-**

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with the integral of the image where R is the triangle with vertices (0,0), (−π, π) and (π, π).1. If u = x - y & v = x + y, then the limits of integration for the integral of the change of variables are 0≤ u ≤ 2π & 0 ≤ u ≤ 2π - u 2. The Jacobian of the transformation is equal to 1/2 Which are right or wrong
Since the R integration region is the region bounded by the hyperbolas x2 - y2 = 1, x2 - y2 = 9, xy = 4 and xy = 2 in the first region, with the help of u = xy and v = x2 - y2 transformation ∫∫R ( x2 + y2) dA What is the value of the integral?a) 0b) -7c) 7d) 8e) none
integrate ƒ over the given region. ƒ(x, y) = x2 + y2 over the triangular region with vertices (0, 0), (1, 0), and (0, 1)
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Double integrate under z=xy, above the triangle with vertices (0,1),(0,4),(1,1).
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