Find the volume of the 'cover' that is bounded by 32 < x2 + y2 + z2 < 72 and the upper cone z2 = 5x2 + 5y2. Leave your final answer correct to 2 decimal places. %3D

Q: 4. A right circular cylinder of height h = 2x is inscribed in a sphere of fixed radius R. (a) Show…

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Q: Find the area of the shaded region. y-2 C4, 2) O4, 2 A) 2 (B) n-2 D) n

A: The area of the region can be found by the following formula  Area =∫abydx Area =∫ab|f(x)-g(x)|dx…

Q: What is the area of triangle bounded by the x-axis, the y-axis, and the line y=−4x+4?

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Q: Find the area of part of sphere x² + y? + z² = 100 that lies inside x2 + y? = 10x %3D %3D

A: This is a problem of surface integral.

Q: There is a line through the origin that divides the region bounded by the parabola y = 8x- 32 and…

A: Here we have to calculate the slope of the line  It can be calculated by finding the area and then…

Q: Find the total area of the region between the x-axis and the graph of y = -x - 3x, - 4sx<3. The…

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Q: Take a 7.5 by 11-inch piece of paper and cut out four equal squares from the corners. Fold up the…

A: The figure is drawn below :

Q: Find the area of the largest rectangle that can be bounded by the x-axis and the parabola y = a -…

A: The given problem is to find the area of the largest rectangle that can be bounded by x-axis and the…

Q: The figure gives the time it takes a Mitsubishi Eclipse GSX to reach speeds from 0 mph to 100 mph,…

A: The graph plotted gives the times that it takes a Mitsubishi Eclipse GSX to reach speeds from 0 mph…