Questions from General Calculus


Q: Recent studies indicate that the average surface temperature of the earth has

Recent studies indicate that the average surface temperature of the earth has been rising steadily. Some scientists have modeled the temperature by the linear function T = 0.002t + 8.50, where T is te...

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Q: Use the given graphs of f and g to estimate the value

Use the given graphs of f and g to estimate the value of f (g (x)) for x = -5, -4, -3…5. Use these estimates to sketch a rough graph of f 0 g.

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Q: A stone is dropped into a lake, creating a circular ripple

A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 m/s. (a). Express the radius of this circle as a function of the time (in seconds). (b). If A is the ar...

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Q: A spherical balloon is being inflated and the radius of the balloon

A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 2 cm/s. (a). Express the radius of the balloon as a function of the time t (in seconds). (b). If V is the...

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Q: Find a formula for the described function and state its domain.

Find a formula for the described function and state its domain. Express the area of an equilateral triangle as a function of the length of a side.

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Q: An airplane is flying at a speed of at an altitude of

An airplane is flying at a speed of at an altitude of 350 mi/h one mile and passes directly over a radar station at time t = 0. (a). Express the horizontal distance (in miles) that the plane has flown...

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Q: Find a formula for the described function and state its domain.

Find a formula for the described function and state its domain. An open rectangular box with volume 2 m3 has a square base. Express the surface area of the box as a function of the length of a side of...

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Q: The Heaviside function defined in Exercise 57 can also be used to

The Heaviside function defined in Exercise 57 can also be used to define the ramp function y = ct H (t), which represents a gradual increase in voltage or current in a circuit. Exercise 57: The Heav...

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Q: Let and be linear functions with equations f (x) =

Let and be linear functions with equations f (x) = mx + b1 and g (x) m2x + b2. Is f 0 g also a linear function? If so, what is the slope of its graph?

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Q: If you invest dollars at 4% interest compounded annually, then

If you invest dollars at 4% interest compounded annually, then the amount A (x) of the investment after one year is What do these compositions represent? Find a formula for the composition of n copi...

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