49. Consider the region R bounded by the graphs of y = f(x) > 0, x = a > 0, and x = b> a. If the volume of the solid formed by revolving R about the y-axis is 27, and the volume formed by revolving R about the line x = -2 is 10m, find the area of R. y= fx) R

Q: 2. The region is bounded by the curve y = x(x + 4), the x-axis and the line x = 3. Find the…

A: We will use basic knowledge of integral calculus to solve this question. This is a multipart…

Q: 3. Sketch the region enclosed by the following curves and find its area y = x,y=4r, y = -x + 2. C1

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Q: 6. Find the area enclosed by the curve x² + 8y + 16 = 0 the x-axis, the y- axis and the x-4 = 0…

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Q: 1 1 from x=1 to x=3. 4x 3 5. Find the length of the curve given by y 3

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Q: Find the volume of the area bounded by the line y = 3x + 4 and the curve y = x² if it is revolved…

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Q: 8) The volume of the region in the second quadrant bounded above by y=-x3, below by the x-axis and…

A: The objective of this question is to find the volume of the region in the second quadrant bounded…

Q: 2. Find the volume if the area bounded by the curve y = x³ +1, the x-axis and the limits of x=0 and…

A: Given curve is y=x3+1, the x-axis and the limits are x=0 and x=3. The objective is to find the…

Q: Find the area of the region enclosed by the line y=4x and the curve y= x+ 3x.

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Q: . The area bounded by the curve y = 3 – 2x + x² and the line y = 3 is revolved about the line x = 5.…

A: The volume of the solid of the revolution can be calculated using the shell method. The formula to…