Questions from General Calculus


Q: Lake Lanier in Georgia, USA, is a reservoir created by

Lake Lanier in Georgia, USA, is a reservoir created by Buford Dam on the Chattahoochee River. The table shows the rate of inflow of water, in cubic feet per second, as measured every morning at 7:30 a...

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Q: For what values of x does the graph of f have a

For what values of x does the graph of f have a horizontal tangent? f (x) = x + 2 sin x

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Q: (a) Fin) an equation of the tangent line to

(a) Fin) an equation of the tangent line to the curve y = 3x + 6 cosx at the point (π/3, π + 3). (b) Illustrate part (a) by graphing the curve an) the tangent line on the same screen.

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Q: A bacteria population is 4000 at time t = 0 and its

A bacteria population is 4000 at time t = 0 and its rate of growth is 1000 . 2t bacteria per hour after t hours. What is the population after one hour?

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Q: Shown is the graph of traffic on an Internet service provider’s T1

Shown is the graph of traffic on an Internet service provider’s T1 data line from midnight to 8:00 am. D is the data throughput, measured in megabits per second. Use the Midpoint Rul...

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Q: Shown is the power consumption in the province of Ontario, Canada

Shown is the power consumption in the province of Ontario, Canada, for December 9, 2004 (P is measured in megawatts; t is measured in hours starting at midnight). Using the fact that power is the rate...

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Q: On May 7, 1992, the space shuttle Endeavour was launched

On May 7, 1992, the space shuttle Endeavour was launched on mission STS-49, the purpose of which was to install a new perigee kick motor in an Intelsat communications satellite. The table gives the ve...

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Q: The acceleration function (in m/s2 ) and the initial

The acceleration function (in m/s2 ) and the initial velocity are given for a particle moving along a line. Find (a) the velocity at time t and (b) the distance traveled during the given time interva...

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Q: Find f ’ (x) and f ’’ (x).

Find f ’ (x) and f ’’ (x). f(x) = x / x2 - 1

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Q: (a) If f (x) = sec x -

(a) If f (x) = sec x - x, find f ‘(x). (b) Check to see that your answer to part (a) is reasonable by graphing both f and f‘ for |x | , π/2.

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