Use the given transformation to evaluate the integral. = (u + v), y = (v - 4u) (5x+10y) dA, where R is the parallelogram with vertices (-2, 8), (2, -8), (5,-5), and (1, 11); x =

Q: Q2. Use a scalar product the check whether the points A (0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2,…

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Q: b) Use the idea in part (a) to determine an explicit one-to-one correspondence between zt and the…

A: as you asked only the solution for (b) , the solution of the part (b) is given below...

Q: A pre-image of a figure contains the point (10, 3). Distinguish the location of this point in the…

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Q: Find each scalar multiple. aа. 2(3, 1) b. 3(-5, 1) c. -(-6. 0)

A: Given: a)  23,1b)  3-5,1c) -12-6,0 To determine: Scalar multiple in each case.

Q: Show that the transformation Y = 2x, + x, + Xg» Y2 = X; + Xg + 2x, ys = x, - 2r, is regular. Write…

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Q: MATH B. day A d. Translate three units down and two units to the left b. Reflect across the y-axis…

A: B(4, 6),   E(6, 7),   A(5, 5),  R(3, 4) Three units down means a decrease of 3 units in the…

Q: Find (2x + 5y)dA where Ris the parallelogram with vertices (0,0), (-5,4), (-2,-1), and (-7,3). Use…

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Q: Yi 6x1 -1x2 Y2 —17х1 +3x2 I|||

A: Given linear transformation T is  y1=6x1-1x2y2=-17x1+3x2 Its inverses is the function T-1 from y to…

Q: Find the inverse of the linear transformation X1 = x2 = x3 = Y1+ Y₁+ Y1+ Y1 Y2 Y3 = = = 4x1 5x1 X1…

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Q: Find the inverse of the linear transformation Y1 Y2 Y3 = = = 2x₁ 2x₁ x1 +4x₂9x3 +3x₂ -7x3 +2x₂ - 4x3

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Q: Find /| (4x + 5y)dA where Ris the parallelogram with vertices (0,0), (5,-4), (1,-2), and (6,-6). Use…

A: Given integral, ∫∫R4x+5ydA Here R is the parallelogram with vertices 0,0, 5,-4, 1,-2 and 6,-6. To…

Q: Evaluate (6x-3y)dA where Ris the parallelogram with vertices (2,0), (5,3), (6,7) and (3,4)using the…

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

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Q: Show that the transformation Y = 2x, + x, + *g Y2 = *, + Xg + 2x, ys = x - 2x, is regular. Write…

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

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Q: Find the complex representation of H((-1,3),3)a, where a is the translation through i = (3, –4)

A: Given: The complex representation of H(-1,3),3), Where through

Q: Find the Jacobian of the transformation = 2u+7v, y u² - 5v. =

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Q: g(x)=-3/(x+17) + 29

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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: Describe the transformations of Y=-5sin(2x) And Y=2cos(x-45)+3

A: We have describe the transformation for the function with respect to sin(x) and cos(x).

Q: Find the Jacobian of the transformation x - 3u + 7v, y = u² – - v.

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Q: Each of J, K, L, M and N is a linear transformation from R? to R². These functions are given as…

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Q: Calculate the cross product. (i - 9j + 6k) x (j – k)

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Q: Find k so that the points P(0, 1, 1), Q(-1, 1, 3), and R(-3, 1, k) are on the same line (collinear).

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