Find // (3x + 5y)dA where R is the parallelogram with vertices (0,0), (4,2), (-1,5), and (3,7). Use the transformation x = 4и — v, у — 2и + 5v .

Q: Find (a) the image of v and (b) the preimage of w for the linear transformation.T: R2→R, T(v1, v2) =…

A: Given liner transformation as

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Q: Find the bilinear transformation which maps the points (00, i, 0)in the z - plane into (-1, -i, 1)in…

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Q: Find the image of the line y – x + 1 = 0 under the transformation w

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: i) Use the change of variables formula and an appropriate transformation u = y - x and v = y + x to…

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Q: Solve the difference equation by Z-transformation y(n)-0.5y(n-1)= 5(.2)°u(n) when y(-1)=1

A: The difference equation given is yn-0.5yn-1=50.2nun with  y-1=1.  We are asked to solve the…

Q: Find the bilinear transformation which maps the points (00, i, 0)in the z - plane into (-1.-1,1)in…

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Q: b) Find A6 for A = by using the advantage of the diagonal representation by similarity…

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Q: Let R be the parallelogram enclosed by the lines x + 3y = 0, x + 3y = 2, x + y = 1 and x + y = 4.…

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Q: What are the coordinates of U' for the transformation (T-3, 1) ° D4) (ATUV) of T(-7, –6), Ú(-8, 3),…

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Q: Find the Jacobian for the given transformation. u= 3x – 4y, v = - 2x- 2y A. - 14 В. 14 1 C. 14 D. 14

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Q: TR2 → R2 as, T x, y = (1, y) ;is it a linear transformation?

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Q: Find the Jacobian for the given transformation. u= - 3x- 5y, v= - 4x - 2y O A. - 14 B. 14

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Q: Find the bilinear transformation which maps the points (-1,0,1) into points (0,i,3i)

A: the bilinear transformation which maps the points (-1,0,1) into points (0,i,3i)

Q: Use the transformation u = y – 3x, v = y + 6x to evaluate // (2y + 12x) dA on the parallelogram R…

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Q: Find the matrix M of the linear transformation T : R? - R? given by (:)-| -8x1 + (-6) x2 T. -7x1 -…

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Q: If image ARST was graphed using the transformation rule (x, y) →(-x, y). Which axis would the the…

A: when we replace x with -x. so now the result it was having for positive x the same results will be…

Q: Find (a) the image of v and (b) the preimage of w for the linear transformation.T: R2→R2, T(v1, v2)…

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Q: Find the 3x3 matrix that produces the described composite 2D transformation below, using homogeneous…

A: Find the 3×3 matrices that produce the described composite 2D transformations, using homogeneous…

Q: Write down the transformation matrix for a rotation of angle n/4 in the positive sense about (i)…

A: "By Bartleby rules, only first question has been answered"

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: (:) T 2, T = 2x +2, T = -I, 0 0 0 0 T 5x2. 1. ([::)-

A: T:M2×2→P2T1000=2, T0100=2x+x2, T0010=-x, T0001=5x2

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 (a) the image of v and (b) the preimage of w for the linear transformation.T: R2→R2, T(v1, v2)…

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Q: Use the transformation u = x2 –- y²,v = x² + y² to find ff, xydA where R is the region in the first…

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Q: Find the matrix M of the linear transformation T : R² → R² given by 6x1+ 8x2 -7x1+ x2. T М —

A: We have to find the matrix of linear transformation.

Q: Find the Jacobian for the given transformation. u= - 5x - 4y, v = 4x + 5y V

A: Given equations u = -5x-4yv = 4x+5y We need to calculate the jacobian of the equations The jacobian…

Q: Find the kernel of the linear transformation. (If all real numbers are solutions, enter REALS.) T:…

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Q: Find (a) the image of and (b) the preimage of for the linear transformation. T: R³ → R³, T(v, V2,…

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Q: For the solution of the PDE x*uz + y?u, + x² + 4x + 6y = 0 Which transformation can be used?

A: use special form of charpit auxiliary equation

Q: For the linear transformation T: R R2 given by %3D -9- A = find a and b such that T(3, 4) = (5, 0).…

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Q: under the linear transformation T: R² → R² consisting of a reflection in the y-axis followed by a…

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Q: Use the given transformation to evaluate the integral. + v), y = v - 3u) (16x + 16y) dA, where R is…

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Q: determine whether the transformation T(x, y) = (-y, 2x + 3y, 5x) of R2 → R3 is linear.

A: To determine whether the transformation T(x, y) = (-y, 2x + 3y, 5x) of R2 → R3 is linear.

Q: Find the image of the Z-shaped figure at right with vertices (0, 0), (6, 0), (6, 6), and (0, 6)…

A: Now , we have got 4 points .  We first try to find the image of those points then plot them on the…

Q: For the linear transformation T: R2 → R2 given by a -b A = b a find a and b such that T(15, 8) =…

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Q: Use the given transformation to evaluate the integral. u + v), y = v (16x + 16y) dA, where R is the…

A: Given  ∬R16x+16ydAWhereR is the parallelogram with vertices -3,9, 3,-9, 4,-8, -2,10and x=14u+v ,…

Q: Use the transformation u = r- 2y, v = 2r +y to find a - 2y dA 2.r + y Where R is the rectangular…

A: To evaluate: ∫∫Rx-2y2x+ydA where R is the rectangle region enclosed by the lines…

Q: What are the coordinates of V after the transformation (T • D5)(ATUV) for T(-1,-1), U(-1, 2), V(2,…

A: Given transformation is T3,−2∘D5△TUV for T−1,−1, U−1,2, V2,1. We have to find the coordinates of V…

Q: Let Qo: R2 R2 be reflection in the x-axis, Q₁: R² R² be reflection in the line y = x, let Q-1: R² R²…

A: Let 1) Q0:ℝ2→ℝ2, be the reflection in the x-axis  2) Q1:ℝ2→ℝ2 be the reflection in the line y=x. 3)…

Q: Suppose that T is a linear transformation, with T(u,) = T(u2) =:: Find T(2u, - 3u,).

A: From the definition of linear transformation we can solve this question.

Q: Find the standard matrix for the linear transformation T:R² → R that rotates points about the origin…

A: The linear transformation T : ℝ2 → ℝ2 that rotates points about the origin by π2

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

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Q: Solve the difference equation by Z-transformation y(n)-0.5y(n-1)= 5(.2)"u(n) when y(-1)=1

A: The difference equation given is yn-0.5yn-1=50.2nun with y-1=1. We are asked to solve the difference…

Q: Let Tv = Av represent the linear transformation T: R2 → R3 where 1 2 A = -2 4 -2 2]

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Q: Write the expression for a linear transformation T: R2 → R?. whose null space be the straight y=3x

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Q: Find (a) the image of v and (b) the preimage of w for the linear transformation.T: R2→R3, T(v1, v2)…

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Q: Find the linear fractional transformation that maps (1, 0, i) to (1, 0, 1+i).

A: The formula for transformation is given by: w-w1w-w3·w2-w3w2-w1=z-z1z2-z3z-z3z2-z1 Here, w1=1, w2=0,…

Q: What are the coordinates of 7T for the transformation (T(-3, 1)° D4)(ATUV) of T(-7,-6), U(-8, 3),…

A: Given  T ( -7 , -6 )

Q: Consider the transformation T: x=12/37u − 35/37v,   y=35/37u + 12/37v The transformation is linear,…

A: Consider the given transformation: