Let ^p be the positively oriented, piecewise smooth, simple, closed, Pac-man path connecting -2 to -1 +i along a line segment, -1+i to –1 – i along a portion of a circle centered at -2, and -1- i back to -2 along a line segment. Compute the following integrals, draw figures, and fully justify your results!

Q: The distance between the points (2,0,2) and (-2,0,2) is 4/2. True False

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Q: Find the point of intersection of lines 1₁ and 12. 1₁:r₁ = (5 + 2t₁)i + (10 - 3t₁)j + 2t₁k 12:12 =…

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Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

Q: Integrate the expression 1017x² +840xy + 1492y² over the region bordered by the curve 1017x² +840xy…

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Q: What is the reflection over the y-axis of (-7,8)

A: Given  Point : (-7,8)

Q: The distance between the points (-2,2,0) and (1, -1,0) is 3/2. True False

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Q: Point 1 (x,y) = (4.50, 9.00) and Point 2 (x,y) = (-6.00, -3.00). Calculate using interpolation…

A: We will use Lagrange's interpolation  formula to find interpolation  between p_1 and p_2.

Q: True or false: The graph of 2x - 3y > 6 includes the line 2x – 3y = 6. .

A: Given: 2x-3y<6 The graph of 2x-3y<6 is,

Q: 33 What point on the line through (1,2, 5) and 3, 1, 1) is closast to the point (2, -1, 5)?

A: Given: The line passing through the points 1,2,5 and 3,1,1 To find: The point on the given line…

Q: What are the coordinates of the point on the directed line segment from (-6, –6) to (-4, 10) that…

A: we have to find point

Q: Show that the line [3, 2, 3] passes through the point of intersection of the lines [2, 1, 1] and…

A: It has to be proved that the line 3,2,3 passes through the point of intersection of the lines 2,1,1…

Q: Graph y = 5e-xon [-4, 4] by [-1, 20] .

A: Consider the function y=5e-x to plot the graph on the window [-4, 4] by [-1, 20], the horizontal…

Q: what is the distance between (-4,6) and(3,-7)

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Q: What is the distance between (4,5) and (4,-8)

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Q: 3. Determine an equation in symmetric form of a line parallel to *³ = = = 2+2 and z+7 3 -4 passing…

A: We have, given line equation: (x - 3)/3 = (y - 5)/-4 = (z + 7)/4

Q: Find the distance of the line segment that goes from (0,2) to (1,7)

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Q: Find the point Pon line(AB) such that line(AP) /line(AB) =r Given that A=(2,4), B=(-5,2) and r=3/5…

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

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