Find the image of the given point under the given translation. P(-8, 9) T(x, y) = (x- 10, y-5) P' = ([?], [ ]) %3D %3D Enter the number that belongs in the green box. Enter
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A: Given that:
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Q: 9) reflection across the y-axIS
A: Png the reflection of the given graph across y-axis
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A: The region bounded by curves y=4-x2andy=x+2 To find the area and centroidal distances.
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Q: Find the slope and concavity of the curve at the given points. r = 1/u, u = -pi, 1
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Q: Which of the given points are the points on the hyperboloid x2-y?+4z2 = 4 where the normal line is…
A: Solution is in step 2
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Q: find an equation for the level surface of the functionthrough the given point. ƒ(x, y, z) = √(x - y)…
A: given, ƒ(x, y, z) = √(x - y) - ln z, (3, -1, 1)
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Q: 10. Find the acute angle of intersection of the curves x + xy = 1 and y3 (x + 1)2.
A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…
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: Eliminate the parameter to obtain an equation in x and y: x=-2cos2t, y=-2sin2t
A: x=-2cos2t y=-2sin2t using trigonometric property, sin2t+cos2t=1
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Q: F(6, 5) is the image of Kafter a reflection in the line y = 2. What are the coordinates of K?
A: Explanation of the answer is as follows
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Q: The region S = (x, y (x- 2) + y² < 4 is rotated about the line x = 5.
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Q: Find the angle between the curve 2y=e-x/2 and y-axis
A: we will see in next step
Q: Q1): Find the point (x, y, z) that lines on the plane x +y + 2z = 4 that is nearest to the origin.
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Q: 7. Find the angle of intersection between the curves y = x + x-8 and y = x
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Q: 4. y=4-x² , y=3x and the x-y plane is given by the fol expresions.
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Q: ƒ(x, y) = 4x - 8xy + 2y + 1 on the triangular plate bounded by the lines x = 0, y = 0, x + y = 1 in…
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Q: 9. f(z) = e'n/4z %3D
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Q: (2) find the (x,y) coordinates of all points of intersection ot the curves.
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Q: Find the equation of the line through the origin auel normal to the line x=y-S,2:2y-3?
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Q: 3. When origin shifted to the point (2,3), the transformed equation of the curve is x2 + 3xy – 2y2 +…
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- please do not provide solution inimage format thank you. A thin metal plate located in the center of the xy plane has a temperature T(x, y) at the point(x,y) given by T(x, y) = 100/(1 + x^2 + y^2) . (a) What is the temperature on the plate at point (1, 2), approximately? (b) At what point is the temperature as high as possible? (c) If a particle moves away from the origin, moving along the positive x axis, Will the temperature increase or decrease? (d) At what points is the temperature 50? (e) The contour lines of T are called isotherms (because all points on a of these curves have the same temperature). Sketch some isotherms of that function.Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. x = 1 − y2, x = y2 − 1 The x y-coordinate plane is given. There are 2 curves, a shaded region, and an approximating rectangle on the graph. The first curve enters the window in the third quadrant, goes up and right becoming less steep, crosses the x-axis at approximately x = −0.71 crossing the second curve, changes direction at the point (0, 0.5), goes down and right becoming more steep, crosses the x-axis at approximately x = 0.71 crossing the second curve, and exits the window in the fourth quadrant. The second curve enters the window in the second quadrant, goes down and right becoming less steep, crosses the x-axis at approximately x = −0.71 crossing the first curve, changes direction at the point (0, −0.5), goes up and right becoming more steep, crosses the x-axis at approximately x = 0.71 crossing the first curve, and exits the window…B) IR2 --> IR3 (x, y) --> (x, y2, x+y) Is it linear transformation? investigate.
- The centroid of the plane region bounded by the graphs of y = f (x), y = 0, x = 0, and x = 3 is (1.2, 1.4). Without integrating, find the centroid of each of the regions bounded by the graphs of the following sets of equations. Explain your reasoning.(see the graph as attached here). y = f (x) + 2, y = 2, x = 0, and x = 3R zone being a square with vertices (0,2), (1,1), (2,2) and (1,3);Calculate the integral of the picture using the transformation u=x-y, v=x+y.Deteremine the area between the curves x= y^2+1, x=5, y=-3, y=3.
- Area of the plane region y=2x^2+1 and y=x^2+5Jackie and Christine are racing again! We only get some discrete data this time, but we can find the details through calculation! 3 minutes after the race starts, Jackie is 12 miles away from the starting point, and Christine is 27 miles ahead of Jackie. 13 minutes after the race starts, Jackie is 52 miles away from the starting point, but now Christine is only 17 miles ahead from Jackie. Assume they are going at a constant speed. (a) Present their movement on the xy-plane, where the x- and y-axis represent the time since the race starts and their distances from the starting point respectively. Label the four points clearly. (b) Find the speed of Christine and Jackie. You may use the unit “miles per minute” or, if you are comfortable with unit conversion, “miles per hour.” (c) Is anyone given a head start? If so, who is that and how far was that? (d) How far is Jackie from the starting point when he catches up with Christine?FODE with homogeneous coefficients and transformation and variables
- Skewness and Kurtosis Definitiona. Find the area of the shaded section.b. Find the centroid of the shaded of the section from the y-axis.c. Find the centroid of the shaded section from x-axis.A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto R, where the sides of S are parallel to the u- and v- axes.