12. Use the transformation z (u + v), y = (v - 3u) to evaluate the integral ff (4x+8y) dA, where R is the parallelogram bounded by the lines 3r + y = 0, 3x+y=8, x−y=-4, and x - y = 4. Set-up, but do not evaluate, each triple integral.

Q: ordinates A(1,3), B(1,2), CC (Y

A: The co-ordinates of the quadrilateral is A(1,3), B(1,2), C(5,1) , D(4,4)The reflection across the…

Q: Find the Jacobian of the transformation x = 5u + 6v, y = u² + 7v

A: Let us consider the function x=x(u,v) , y=y(u,v) The Jacobian of the function is obtained as…

Q: Use the transformation u = x - 2z, v = 3y, and w = z to evaluate 7 9 2z+3 ICE 2z Submit an exact…

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: Write  the 2 × 2 matrices that represent the following linear transformations ofthe plane. Also draw…

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Q: Т: M22 —} R where (1: а — За — 46 +с — dis a d. T C linear transformation.

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Q: - Evaluate f√x+y (y-x)² dxdy using the transformation x+y=ky D.

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Q: Show that the transformation Y = 2x, + x, + Xy, y2=x, + Xg + 2x, yg-x, - 2r, is regular. Write down…

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Q: Which of the following transformations are linear? DA. T(A) = A + Is from R³x3 to R³×3 OB. T(A)=9A…

A: Given :  A.TA=A+I3B. TA=9AC. T(A)=A2 To Check : Given transformation is linear Note : As per policy…

Q: Find the volume of the image of the unit cube under the linear transformation

A: T100=130, T010=202, T001=-1-31

Q: Find the matrix M of the linear transformation T : R³ → R² given by - (E) 6x1+ x2+ (-5)æz 8x1+ 3x3 M…

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Q: Use the given transformation to evaluate the integral. J (12x+12y) da, where R is the parallelogram…

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Q: For a linear transformation w= (atib)z, the point A= (1+j) in the z-plane was transformed to A' =…

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Q: Find d[[(4x + 5y)dA where R is the parallelogram with vertices (0,0), (2,5), (-4,4), and (-2,9). Use…

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Q: (2z + 4y)dA where R is the parallelogram with vertices (0,0), (-5,4), (3,-2), and (-2,2). Use the…

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Q: Write down the 2 × 2 matrices that represent the following linear transformations ofthe plane. Also…

A: As per guidelines, we will solve first three subparts of the question only. a) We have to find the…

Q: Write the 2 x 2 matriz representation of the given linear transformation and sketch the region…

A: T(x,y) = (1/4 * x, y) To find the matrix representation of this transformation, we need to apply it…

Q: a. 7(x, y) (-x, y) b. T(x, y) (-y, x) c. T(x, y) (-y, –x) с.

A: According to our terms and conditions I have solved first 3 parts for remaining questions repost

Q: Given the following linear transformation T: R³ R³, T(x, y, z)=(x-2y, 0, 2x - 4y). Find the core and…

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Q: (3x + 2y)dA where Ris the parallelogram with vertices (0,0), (-3,4), (-5,5), and (-8,9). Use the…

A: Given that,  The vertices of parallelogram are 0,0, -3,4, -5,5, -8,9. To find the integral value of…

Q: Q5- Draw the shape of the following points {a(0,0), b(4,3), c(6,0),d(8,3),f(12,0)}, after that…

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Q: Find d (3x + 5y)dA where R is the parallelogram with vertices (0,0), (5,3), (4,-2), and (9,1). R Use…

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Q: Find (4x √₁ (4x + 2y)dA where R is the parallelogram with vertices (0,0), (-5,-2), (4,-4), and…

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Q: 2. (x, y) → (x + 5, y) rule' @ y 5- Q -5 5. R. P.

A: Given that :-translation path(x, y)→(x+5, y)points,P(-4, 2)Q(-1, 3)R(-3, -3)To find: Describe the…

Q: Please explain how you know the transformation is linear or not! Thank you! Which of the following…

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Q: Let →a=⟨7,−5⟩ and b→=⟨1,3⟩. Compute the dot product. →a X →b=

A: Given a→ = 7,-5 and b→ = 1, 3. We have to compute the dot product a→·b→.

Q: B) IR2 --> IR3           (x, y) --> (x, y2, x+y) Is it linear transformation? investigate.

A: