S SR (4x + 8y)dA, where R is the parallelogram region with vertices (-1,3), (1, −3), (3, −1) and (1,5); x = } (u + v), y = } (v — 3u).

Q: What is the equation of a circle having (10,2) and (6,-4) as endpoints of its diameter? x² + y² 16x…

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Q: Find the shortest distance between the lines i-(i+2j+k) + 2(i-j+â)and 7= 2i - j-k + 4(2i + j+ 2k)

A: The equation of the given lines are r→=i^+2j^+k^+λi^-j^+k^r→=2i^-j^-k^+μ2i^+j^+2k^ It is known that…

Q: Let A(2, -3) and B(-2,1) be vertices of a triangle ABC. If the centroid of this triangle moves on…

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Q: Calculate the x- and y-interсepts of the graph:   y=3-3x^3   A)x - intercept (0,1), y -…

A: Draw the graph: For X-intercept, put y=0: X-intercept is 1. The point of x-intercept is (1, 0).

Q: Construct a linear map L(z)=az+b that will send the imaginary y-axis to the line v=-u.

A: we have to constract a linear map that maps the y-axis to the line v=-u Basically we have to…

Q: Determine the points of intersection of  y=x^2   and   y=x+1

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Q: 5. Compute the distance between these pairs of points: (a) (-2, 5) and (4, 13) (b) (3,-4) and (8, 8)

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Q: over the triangular region Cut from the * quadrant by the line x+y =1.

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Q: (x1,y1)=(4, 2),(x2,y2)=(3, 0),  (x3,y3)= (1, 7) and(x4,y4)=(8,2). Trace these points on graph, also…

A: Let A(4,2) , B(3,0) , C(1,7) , D(8,2)

Q: y=-2log_(2)(x+3)-1 Plot at least four points that fit on.

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

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Q: Compute the distance between the point (-2, 8, 1) and the line of intersection between the two…

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Q: Find the three areas of the region bounded by y= 2x²+10 , y=4x+1 and the lines x=-2 and x=5.

A: We need to find the area between two curves. The area between two curves y=fx, y=gx for x∈a,b is…

Q: 13) Find the equation in slope-intercept form that is tangent to (x- 1)² + (y + 2)² = 25 and passes…

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Q: Find an equation for the plane through P(1,4,4) that contains the line of intersection of the planes…

A: Let the equation of the plane that contains the line of intersection of the planes 3x-y+3z=-1 and…

Q: Find the exact distance between the skew lines = (-3,-2,4) + t(1,-1,1) and p = (1,3,0) + t(-2,-3,3)

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Q: Why does the graph of x2 + y2=4x has it's center at point (2,0)? and not (0,0). And how to try to…

A: Here equation we have given is of a circle : x2+y2=4x.

Q: y Graph the system: y y 3 3x + 2y < 15 List the vertices of the region clockwise starting with…

A: Given, x≥0         ......1y≥0         ......2y≤3         ......33x+2y≤15         ......4

Q: Find point P(x,y) if it is equidistant between points A(2,9) and B(-3,6)

A: Given:-  Px,y is equidistant  from the points  A2,9  and  B -3,6 i.e,  AP=BP and  we know  that…

Q: Q2) Find the distance between the line y= - (x+2 ) & the center of the circle y + x – 4(x+ y )= 9

A: The center of the circle x2+y2-2ax-2by+c=0 is a, b Therefore, the center of the given circle…

Q: Trapezoid WKLX has vertices W (2, 3), K(4, -3), L(5,-2), and X(1, 2). Trapezoid WKLX is translated 4…

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Q: Find the midpoint of each line segment whose end points are (-4,-4) and (10,2). (-3,-1) (3,-1)…

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Q: Find ((x2 + 4y)i + 3 y j) · dř where C consists of the three line segments from (1,0,0) to (1,4, 0)…

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