Questions from General Calculus


Q: Sketch the region and find its area (if the area is

Sketch the region and find its area (if the area is finite).

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Q: Sketch the region and find its area (if the area is

Sketch the region and find its area (if the area is finite).

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Q: Sketch the region and find its area (if the area is

Sketch the region and find its area (if the area is finite).

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Q: Let g (x) = fx0 f (t) dt

Let g (x) = fx0 f (t) dt, where f is the function whose graph is shown. (a). Evaluate g (x) for x = 0, 1, 2, 3, 4, 5 and 6. (b). Estimate g (7). (c). Where does b have a maximum value? Where does it...

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Q: Find the area of the shaded region. /

Find the area of the shaded region.

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Q: A container in the shape of an inverted cone has height 16

A container in the shape of an inverted cone has height 16 cm and radius 5 cm at the top. It is partially filled with a liquid that oozes through the sides at a rate proportional to the area of the co...

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Q: Sketch the region and find its area (if the area is

Sketch the region and find its area (if the area is finite).

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Q: Find the number b such that the line y = b divides

Find the number b such that the line y = b divides the region bounded by the curves y = x2 and y = 4 into two regions with equal area.

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Q: Show that 1/3 Tn + 3.2Mn = S2n

Show that 1/3 Tn + 3.2Mn = S2n.

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Q: Use the Comparison Theorem to determine whether the integral is convergent or

Use the Comparison Theorem to determine whether the integral is convergent or divergent.

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