Use the given transformation to evaluate the integral. J (12x+12y) da, where R is the parallelogram with vertices (-2, 4), (2, -4), (4, -2), and (0, 6); x = X (u + v), y = (v - 2u)

Q: Use the transformation u = y – 3x, v = y + 6x to evaluate // (2y + 12x) dA on the parallelogram R…

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Q: Find (2x + 5y)dA where Ris the parallelogram with vertices (0,0), (-5,4), (-2,-1), and (-7,3). Use…

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Q: Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9…

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Q: Draw v = [ 4/1 ] and w = [ -2/2 ] and v+w and v-w in a single xy plane.

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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: nd S √(² (2x + 5y)dA where R is the parallelogram with vertices (0,0), (-2,-4), (3,-5), and (1,-9).…

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Q: Sketch v = (−2, 1), w = (2, 2), v + 2w, v − 2w.

A: Given vector, v = (−2, 1), w = (2, 2)

Q: What is the center of x² + y² – 6x = -4y + 68?

A: given equation of circle  x2 +y2-6x=-4y+68  x2+y2-6x+4y-68=0 Now compare with x2+y2+2gx+2fy+c=0…

Q: Find the dot product of ū = (3,-2) and v = (5,-7). Select one: -1 V29 29 (8,-9)

A: Consider the vectors u→=3,−2v→=5,−7

Q: Calculate the cross product. (i - 9j + 6k) x (j – k)

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Q: Find the value of m if the points (5, 1), (-2, -3) and (8, 2m) are collinear

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Q: x.y = Find the dot product of x = 2 and y = 2 H

A: Consider the vectors

Q: Find x such that the points A(x, 5), B(2, 3), and C(4, - 5) are collinear.

A: Given. A(x,5), B(2,3) and C(4,-5) are collinear.

Q: Write v as a linear combination of u and w, if possible, where u = (2, 1) and w = (2, -2). (Enter…

A: u=2, 1 and  w=2, -2To express v=4, -1 as a linear combination of u and w

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

A: We can find the integral.

Q: Find (3x + 2y)dA where R is the parallelogram with vertices (0,0), (3,-1), (4,-4), and R (7,-5). Use…

A: Given: R is the parallelogram with vertices 0 , 0 , 3 , -1 , 4 , -4 and 7 , -5, x=3u+4v, y=-u-4v .…

Q: A rectangle has a vertex at J(2, 2), H(4, −2), and G(−2, −5). What are the coordinates of the fourth…

A: You know that the diagonals of a rectangle bisect each other.

Q: Evaluate fF. dr for F= (y² +2²)i + (x² + y²)j + (x² + y²)k and C the square with vertices (-1, -1),…

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