6)The endpoints of AB are A(3,2) and B(7, 1). If A B" is the result of the transformation of AB under Ro0 Ty-axis what are the coordinates of A" and B"? 180

Q: In to which point in the complex W-plane is the point (2, 3) of the complex z-piane mapped by 2z-1…

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Q: Find a Möbius transformations that maps the circles C(1,1), C(-1,1) to the circles C(1, 1), С (2,…

A: We will answer the first question since we only answer one question at a time. Please resubmit the…

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

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Q: Use the rule (x, y) → (3x, 2y) to find the image for the preimage defined by thepoints. Determine…

A: Steps to solve this problem1st find the image of the preimage of the points by the given…

Q: b) For any slope m, show that PmQm = Pm, where Pm and Qm are transformations defined in Theorem…

A: Introduction: For every linear transformation, there is a related matrix representation. Suppose,…

Q: 5. Which of the following is a parametrization of the line through P(-3, 2, -3) and Q(1, –1, 4) ?

A: Given,         The parametrization of the line passing through P-3,2,-3 and Q1,-1,4.We know that,…

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: 7. Is AX' Y' Z'a rotation of AXYZ? Explain. ty Y' 4 Y Z' -6-4 -2 4 6. 2. 2.

A: When the transformation of the co ordinate x,y is to -y,x Then angle of rotation is 90°.

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: Find // (4x + 3y)dA where R is the parallelogram with vertices (0,0), (-3,1), (-4,-5), and (-7,-4).…

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Q: What kind of conic section is given by the quadratic form ? -11x,2 + 84x,x2 + 24x,2 = 156 Transform…

A: Given Quadratic Equation is, -11x12+84x1x2+24x22=156 Matrix Representation form is, A=-11424224 Find…

Q: Consider AXYZ with vertices X(4, 7), Y(8, 5). and Z(6, 3). Follow the steps to the left to find the…

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Q: Find the coordinates of the vertices of the figure after the given transformation Translation: (0,…

A: The change in the coordinates of each point in the translation can be obtained by using the formula…

Q: 1. Show that the mapping a: E2E², (x, y) (3y, x+ 2) is a transformation and a collineation by…

A: The map α:E2→E2 : (x,y)↦(3y,x+2) A function f:v→v is a transformation if f is both one-one and onto.…

Q: Ay 6- -4 A 2 B 2 B 8 10x

A: Answer

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: Show that the transformation w = 2z+3 4 maps the circle x² + y² – 4x = 0 onto %3D the line 4u + 3 =…

A: Let Z be a complex number defined as Z=x+iy, then Z=x2+y2 . The standard equation of a circle on the…

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: 3. Evaluate ff(+2y- )dS where S is the portion of z = 5= 2y + that lies over the triangle in the…

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Q: 2 b) Prove that Imz=0, larg z - 41= 4, 2-ž =0, 1Z-il=1Ztil are different equations all describing…

A: If we let z=x+iy then We will show that y=0 which is the equation of real axis.

Q: 3. When origin is shifted to (3,4) by translation of axes, find the transformed equation of 2x² +…

A: We have to solve given problems:

Q: Find the orthogonal projection of y onto u. 20 10 y% = -60 -5

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

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Q: Calculate 121x dxdy where R is the parallelogram with vertices (0,0), (6,2), (7,6) R 1 -(v — Зи), у…

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Q: Let f(z) = (az + b)/(cz + d) and ad – bc # 0. If this transformation maps zo → Wo, 1→ W1 and Z2 → W2…

A: Given , f(z)=(az+b)(cz+d) , ad-bc≠0.  This transformation maps z0→w0, z1→w1 and z2→w2 Taking…

Q: Find the Jacobian of the transformation. x = 8v + 8w², y= 5w + 5u2, z = 3u + 3v2 дх, у, z) a(u, v,…

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Q: Find the Jacobian of the transformation. x = 4v + 4w?, y = 9w + 9u?, z = 5u + 5v2 Ә(х, у, 2) d(u, v,…

A: Given transformation: x=4v+4w2y=9w+9u2z=5u+5v2 We have to find the jacobian  ∂(x, y, z)∂(u, v, w).

Q: Find the Jacobian of the transformation x 2u, y = 2uv and sketch the reg

A: (a) Given,             x=2u, y=2uv

Q: 8. Determine if point A(-1, -3, 9) lies on the plane T: 8x-3y+2z=4

A: The point lies on the plane if the coordinates of the point satisfy the equation of the plane.

Q: 5. Which of the Two-Reflection Theorems for Rotations and Translations could apply when the…

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Q: Find the area.

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Q: Let a→=⟨-2,0,1⟩ and b→=⟨-5,5,-2⟩. Find the projection of b→ onto a→.

A: Given two vectors a= (-2,0,1)  and b=(-5,5,-2) The scalar projection of b⇀ onto a⇀ is given by…

Q: 15. State the transformations present in y =(1/4)| (-9/4)x+ 9/2 |- 3/4 compared to y = |x |. Use…

A: Topic:- shift and scaling

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

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Q: 6)The endpoints of AB are A(3.2) and B(7, ). If A B" is the result of the transformation of AB under…

A: Given that end point of AB is A(3, 2) and B(7, 1). there is transformation first rotation by 180o,…

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: Select all of the transformations that would result in the perimeter of a triangle being the same as…

A: Note: According to Bartleby guidelines for more than one question asked; only the first one is to be…

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

A:

Q: What will be the new coordinates of point M (-5, -7) after a rotation of 270° counterclockwise about…

A: To fins the new coordinate of point M (-5,-7) after a rotation of 270° anticlockwise about the…

Q: Determine the coordinates of the vertices of ΔΑ'Β'C' , the image of ΔΑBC after the transformation R…

A: Rule: After rotation through 270° about origin the point (x, y) maps to the point (y, -x). Given:…

Q: 7. Is AX' Y' Z'a rotation of AXYZ? Explain. ty Y 4 Y X' Z' -6 -4 -2 4 2. 2.

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Q: 15 Find / (4x + 3y)dA where Ris the parallelogram with vertices (0,0), (-3,-4), (5,-1), and (2,-5).…

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Q: Find the bilinear transformation that maps the point (∞,i,0) into the points (0,i,0)

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Q: Find the image of V(3.6, -5.4) by a rotation of 0 = n/10

A: We have to find the image of point V.

Q: What are the perpendicular generators on (D) 등 =D3 %3D (P) -= of the surface

A: Given equations are  x216-y24=z ......(1)x3=y2=z-4  ......(2) Equation of generators of the…

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: Find the Jacobian of the transformation z = 4u – 6v, y = u² − 2v

A: The objective of the question is determine the jacobian transformation.

Q: Which shows the transformation of a rectangl with vertex coordinates of (2, 3), (6, 3), (2, 1), and…

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