Use the given transformation to evaluate the integral. 1168 8x² dA, where R is the region bounded by the ellipse 16x² + 9y² = 144; x = 3u, y = 4v

Q: x² + a? = 1

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Q: Find the dot product of TH x = and y = 3

A: To find the dot product of two vectors, you multiply the corresponding components of the vectors and…

Q: Determine the area bounded by the ellipse satisfying:(101x+ 10y)2+ (20x+ 2y)2= 1.

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Q: Find the centroid of the area shown in figure 1.

A: The figure is  There are four rectangles 1, 2, 3, 4.

Q: Graph the integrand and use geometry to evaluate the integral. 6 2) s V36 - x2 dx -6

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Q: Solve for the centroid coordinate

A: Solve for the centroid coordinate

Q: Sketch a possible region and find m so that the region above the line y = mx and below the parabola…

A: First, find the point of intersections of given two equations:…

Q: Given f''(x) = 3x – 6 and f'(– 3) = – 2 and f( – 3) = - 1. Find f'(x) = and find f(4) =

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Q: Identify the y coordinate of the centroid of the shaded area in terms of r₁ r2, and a. a x

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Q: Draw the region D between the parabolas y = x² and x = y²,and calculate the x-coordinate of its…

A: Solution is given below: