Rectangle ABCD with A(-8,4), B(4,4), C(-8, 10), and D(4, 10). Rectangle ABCD maps to Rectangle A'B'C'D' by the rule (X, Y)--(x+6, y* 2

Q: 3,0 on a coordinate plane

A: we have to plot (3,0) on a coordinate plane using graph we can plot (3,0) on coordinate plane as…

Q: C: rectangle with vertices (0, 0), (2, 0), (2, 3), and (0, 3)

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Q: Find the midpoint between the two points (3, 6) and (-4, 8).

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Q: b such that the surf 4x2y + z3 = 4 cut -1 ?). %3D

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Q: (5,6) parallel 2x-5y=-7

A: Given,

Q: Find the coordinates of the midpolnt of PQ. (Reviewp. 15 for 4.3.) 9. P(-4,7), Q(1,-5) 8. P(2,-5),…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Rectangle MNOP with vertices M(-7,1), N(-4,1), O(-4,-4), and P(-7,-4) in the line y=-x

A: Transform the given rectangle over the line y=-x.

Q: Use polynomial interpolation to find a cubic curve that goes through the points {(0,-3), (1,0),…

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Q: method; Inz VUna)²-y²

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Q: Sketch the translation of the triangle with the rule (x, y) → (x+5, y+1). T 5 -10 -5 5 10 --5

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Q: find u ·v.

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Q: R: square with vertices (0, 0), (2, 0), (0,

A: Given,         f(x, y)=19+3x-3y         R: square with vertices (0, 0), (2, 0), (0, 2), (2, 2).

Q: Find the distance d between the points (-4,5) and (3,2).

A: To find the distance between two points -4,5 and 3,2. Solution: We know that distance between two…

Q: Q/ What is the cross product of a = (-2, 3, 5) and b = (-4, 1, -6)? a, = -2, a, = 3 and a, = 5 b, =…

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Q: write the quation of the perpendicular bisector that gose through the lie segment with end points of…

A: The perpendicular bisects will be passing through the midpoints of the given points A(4,-1) and…

Q: Evaluate f, Iz2 – 4| dz

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Q: 9. Square ABCD with vertices A(-7, 5), B(-4, 7), C(-2, 4), and D(-5, 2): 90° counterclockwise 10.…

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Q: Find mZE. F mZE %3D Submit

A: Need to find angle E

Q: write a lineax combination as a of Vi, Vzj V3 where %3D

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Q: = (T-) (प॰,,५) %3D -1 = )7-6 (4-7) 11 Find the fcilowing: 3D3x+8 9={-7,-6),(0, -7),(2,8), (5, 6)3

A: Given : g = {(-7,-6),(0,-7),(2,8),(5,6)} h(x) = 3x + 8   g-1(-7) = ? g(0) = -7 g-1(-7) = 0   h-1(x)…

Q: Draw the bifurcation diagram for x'=x^2-ax

A: Given that, x'=x^2-ax

Q: Show that

A: R2=span3-2,01

Q: A² Show that w'= -9-7x - 15x² can be written as the Linear combination of U= 2 + x +4x²₁ V = 1 =…

A: Given that W'=-9-7x-15x2. Show that the given equation  can be written as the linear combination of…

Q: 82z 82z + 8x2 82z If z = x + y lnxy, show that x- = y², y2. 8y2 ID 8x8y

A: Given, z=x+ylnxy We need to show that,    xδ2zδx2+δ2zδxδy=y2δ2zδy2

Q: the area of the region enclosed by 4x−y−16=0 and y2−4x=4.

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Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: 2. Triangle VWX with vertices -1, 0), W6, 8), and X(4,-3): (x, y) (x-1, y-5)

A: Given coordinates V(-1,0)W(6,8)X(4,-3)Given transformation :(x,y)→(x-1,y-5)

Q: eflect the triangle over the line with the rule (x,y)→(y,x) -8- 4- -8 -4 4 --4-

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Q: plane.

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Q: Find the intersection of the planes 2x + 4y - 6z = -8 and 2x + 5y - 7z = -9.

A: We have to find the intersection of the given planes.

Q: Find the distance d between the points (-2, 2, 2) and (-6, 3, -6). d =

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Q: Show that: х-1 - B(x-1,y+1)= B(x, y)

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Q: Verify that ARST ~ AXYZ. Find the scale factor of ARST to AXYZ. 5. 6 6. X, 16 Y 12 28 21

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Q: Find the perimeter of rectangle WXYZ with coordinates W(3,7), X (3,-1), Y(6,-1), and Z(6,7).

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Q: Find the distance between (2,4, -1) and (0,8,3)

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Q: . Rectangle GHU with verlices G(2, -1), H7.-1), K7.-4), and 12.-4): yex

A: We are given the rectangle with G(2, -1), H(7, -1), I(7, -4), and J(2, -4).

Q: distance between (0, 0) and (½a, ½a√3)

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Q: 20. y 4x, 4x+ 9y = 8z + 72y- 119 Ans. (4, 4), (1, 2). %3D 91 01

A: Obtain the value of x in terms of y from the first given equation and substitute it to the other…

Q: Find the distance between -4 u = -5 and z = 2 8.

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Q: 6. Rectangle TUVW with verfices N-3,-1), UO,-2). M(-2,-8), and W(-5,-7): 90° counterclockwise

A: Given points T−3,−1,U0,−2,V−2,−8,and W−5,−7 Concept:when coordinatex,yrotated about 90°…

Q: i. xsin 2 y+ ysin 3x15

A: 4(i).  Given: xsin 2y+ysin 3x=5 Rewrite the function f(x)=xsin 2y +ysin 3x-5

Q: Using the rule (x, y)-(-y, x) find the image points: A(2, 3) B(-5, 6) C(-1,-3) B'(, ) C(, ) A'(, )

A: 30. Using the rule (x,y)→(-y,x) Find the image pointsA(2,3)       B(-5,6)…

Q: Determine Duf (4, – 1,6) for f(x, y,z) = e**y + 4zx³ in the direction of (-3,2,6). %3D

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Q: 18x, x=2, AOR = X-AXIS

A: Topic:- application of integration

Q: aw find if w = 2x²y- 2z and at 2t3 • y = 5e-3t AZ = 3lnt %3D

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Q: Determine the length of y = vx – 2 + 1 , 2 < y < 5

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Q: Prove the property of cross products: av(btc)=(axb)+ caxc).

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Q: nd the distance between the points (-3,0) and (2,5)

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Q: Find the distance between (5, -2) and (5, 0).

A: Given that  The points (5,-2) and (5,0) To find the distance between the points

Q: Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2) and  (-1, 1)

A: Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2) and  (-1, 1)