PLOT THE IMAGE PRE-IMAGE Transformation COORDINATES d) Pre-Image Points Image Points A'L. A (-5,-1) B (-4,2) C (0,-1) IB B'L. Isometry? Yes or No Coordinate Rule (x,y) → (x, 3y) Transformation Type:

Q: 5. a) What is the orthogonal projection ŷ, of y = 1 = ( ² ) U = and the origin? -3 9 onto the line…

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Q: Q4. Find an equation of a plane that contains the line x=t, y=1+2t, z=2-t.

A: We have to find the equation of plane .       According to our guidelines ,we cannot solve all…

Q: 10) Use the rule below to find the points of the image. (x.y)-(xy) Pre-Image Image A(4,:5) A'(,)…

A: Using given rule we solve this question

Q: 1. Use a change of variables to evaluate ſc ¡f cos(x) dA where R is trapezoidal region with vertices…

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Q: Find a parameterization your parameterization for a circle of radius 6 with center (1,-3,4) in a…

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Q: ) Using a drawing technique and a calculus method calculate the gradient when x=3 deitax 6 -10 311…

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Q: yA (\PF| = |PL| 2= 4py Focus: F(0, p) P(x, y) Vertex: (0, 0) Directrix: y = -p Lx, -p) Figure 12.46…

A: given: x2+y-p2=y+p to prove: x2=4py

Q: For x = x(y + 3), y = y(x - 1), find the trace of the Jacobian at the fixed point x = 0, y* = 0.

A: Given system is x˙ =xy+3y˙ =yx-1 Fixed point :  x* =0, y*=0   Take   x˙ =fx, y,    y˙ =gx, y   then…

Q: Trapezoid GHIJ is located in the coordinate plane at points G (0,0), H (-1,2), I (3, 2), and J…

A: By the definition  Two figures are congruent ifvthey having same shape and size. Their corresponding…

Q: First transformation: Dilate about the origin (x,y) --> (kx, ky)

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Q: What does x = 4 represent in xy-plane? Sketch this 2D representation. What does x = 4 represent in…

A: Given: What does x = 4 represent in xy-plane? Sketch this 2D representation. What does x = 4…

Q: QI/ Consider the following equation xu-yuy-2yu, =0: x0, y 0 I) Determine the type of the equation.…

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Q: Question 3. Denote by a, b the lines with the Cartesian equations y = 0, x = 0 respectively, and i…

A: a, b denote the lines with the cartesian equations and . Also

Q: Consider the function f(x, y, z) = 3x² + y² - 4z. i) A contour surface S passes through the point A…

A: To find the value of the contour surface passing through the point A = (2, 3, -1), we need to…

Q: Triangle ABC was transformed to create triangle A'B'C. B. 7 -6 -5 -4 -3 -2 -1 123 45 -1 A' -2 6. -3…

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Q: 4. Let y = [ }]. and the origin. i) Compute the orthogonal projection of y onto the line through x =…

A: Let y=17. To Find: Orthogonal projection of y onto the line through x=-42 and origin.

Q: 104 I' 10 -8 -4 20 10 8 10 2. 4.

A: We have to find scale factor

Q: Consider the contour map below. (a) Sketch and label the following contour plots f (2x, y) f(x, 2y)…

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Q: number 13

A: Solve question number 13

Q: Find a simple closed curve Cwith counterclockwise orientation that maximizes the value of C3 4x: O…

A: Given ∮13y3dx+4x-13x3dy

Q: 4) (y +4)° = -4(x – 1) h = _k = p=. %3D V: focal width: F: Directrix: 10 8.

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Q: Let f(x, y) =V2x?+4y2+18-x. The domain of C for which the level curve f(x, y)=c is an ellipse is O…

A: The general form of ellipse is x-h2a+y-k2b=1 , where ; a>0 and b>0 . h,k is center of the…

Q: Using following result find a set of parametric equation of the line. x=x1+t(x2-x1), y =y1+tV2¬y1)…

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Q: Image Points A'L B'L CLJ Isometry? Yes or No Transformation Type:

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Q: Map the image of Ay=x^(1/2) on the w- plane of transformation w=B *Z^2 Assume all missing or error…

A: Given: Now the given are, On the w-plane of the transformation w=B *Z2, map the image of…

Q: The Line whose eduation is (X + 2y +Z=!) > Cx -y + 2Z +7 =0) intersecks X Z plane. write equation of…

A: The line represented by the equation x+2y+z=1 and x-y+2z+7=0 intersects the XZ plane.

Q: 7. Square EFGH has the coordinates E(-3, 1), F(-3, –2), G(1, -2) and H(1, 1). It is translated using…

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