Questions from General Calculus


Q: A light is to be placed atop a pole of height feet

A light is to be placed atop a pole of height feet to illuminate a busy traffic circle, which has a radius of 40 ft. The intensity of illumination I at any point P on the circle is directly proportion...

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Q: (a). Find the vertical and horizontal asymptotes, if any

(a). Find the vertical and horizontal asymptotes, if any. (b). Find the intervals of increase or decrease. (c). Find the local maximum and minimum values. (d). Find the intervals of concavity and the...

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Q: (a). Find the vertical and horizontal asymptotes, if any

(a). Find the vertical and horizontal asymptotes, if any. (b). Find the intervals of increase or decrease. (c). Find the local maximum and minimum values. (d). Find the intervals of concavity and the...

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Q: Use the given graph of f to find the Riemann sum with

Use the given graph of f to find the Riemann sum with six subintervals. Take the sample points to be (a) left endpoints and (b) midpoints. In each case draw a diagram and explain what the Riemann sum...

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Q: Evaluate the integral. fr0 (x4 – 8x + 7

Evaluate the integral. fr0 (x4 – 8x + 7) dx

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Q: Evaluate the integral. f10 (1 – x9) dx

Evaluate the integral. f10 (1 – x9) dx

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Q: (a). If g (x) = 1/(√x

(a). If g (x) = 1/(√x -1), use your calculator or computer to make a table of approximate values of f12g (x) dx for t = 5, 10, 100, 1000, and 10,000. Does it appear that f∞2g (x) dx is convergent or d...

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Q: Evaluate the integral. f0π/3 sin θ + sin

Evaluate the integral. f0π/3 sin θ + sin θ tan2 θ /sec2θ, dθ

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Q: Find the volume of the solid obtained by rotating the region bounded

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

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Q: Evaluate the integral. f10 (1 – x)9

Evaluate the integral. f10 (1 – x)9 dx

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