Questions from General Calculus


Q: Use a graph to give a rough estimate of the area of

Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area.

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Q: Use a graph to estimate the x-intercepts of the curve

Use a graph to estimate the x-intercepts of the curve y = 1 – 2x – 5x4. Then use this information to estimate the area of the region that lies under the curve and above the x-axis.

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Q: A vertical plate is submerged (or partially submerged) in water

A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain how to approximate the hydrostatic force against one side of the plate by a Riemann sum. Then expre...

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Q: Repeat Exercise 35 for the curve y = (x2 + 1

Repeat Exercise 35 for the curve y = (x2 + 1)-1 – x4. Exercise 35: Use a graph to estimate the x-intercepts of the curve y = 1 – 2x – 5x4. Then use this information to estimate the area of the regio...

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Q: Evaluate the integral and interpret it as a difference of areas.

Evaluate the integral and interpret it as a difference of areas. Illustrate with a sketch.

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Q: Evaluate the integral and interpret it as a difference of areas.

Evaluate the integral and interpret it as a difference of areas. Illustrate with a sketch.

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Q: Evaluate the integral. f01 (1 + 1/2u4

Evaluate the integral. f01 (1 + 1/2u4 – 2/5u9) du

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Q: Find the general indefinite integral. Illustrate by graphing several members of

Find the general indefinite integral. Illustrate by graphing several members of the family on the same screen.

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Q: A manufacturer determines that the cost of making units of a commodity

A manufacturer determines that the cost of making units of a commodity is C (x) = 1800 + 25x – 0.2 x2 + 0.001 x3 and the demand function is p (x) = 48.2 – 0,03x. (a). Graph the cost and revenue functi...

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Q: Find the general indefinite integral. Illustrate by graphing several members of

Find the general indefinite integral. Illustrate by graphing several members of the family on the same screen.

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