Questions from General Calculus


Q: Each limit represents the derivative of some function f at some number

Each limit represents the derivative of some function f at some number a. State such an f and a in each case.

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Q: Each limit represents the derivative of some function f at some number

Each limit represents the derivative of some function f at some number a. State such an f and a in each case.

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Q: Each limit represents the derivative of some function f at some number

Each limit represents the derivative of some function f at some number a. State such an f and a in each case.

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Q: Each limit represents the derivative of some function f at some number

Each limit represents the derivative of some function f at some number a. State such an f and a in each case.

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Q: A particle moves along a straight line with equation of motion s

A particle moves along a straight line with equation of motion s = f (t), where is measured in meters and in seconds. Find the velocity and the speed when t = 5. f (t) = 100 + 50t - 4.9t2

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Q: Explain in your own words what is meant by the equation limx

Explain in your own words what is meant by the equation limx→2 = f (x) = 5 Is it possible for this statement to be true and yet f (2) = 3? Explain.

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Q: A particle moves along a straight line with equation of motion s

A particle moves along a straight line with equation of motion s = f (t), where is measured in meters and in seconds. Find the velocity and the speed when t = 5. f (t) = t-1 - t

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Q: A warm can of soda is placed in a cold refrigerator.

A warm can of soda is placed in a cold refrigerator. Sketch the graph of the temperature of the soda as a function of time. Is the initial rate of change of temperature greater or less than the rate o...

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Q: A roast turkey is taken from an oven when its temperature has

A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. The graph shows how the temperature...

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Q: (a). Estimate the value of lim x→∞ (√x2

(a). Estimate the value of lim x→∞ (√x2 + x + 1) by graphing the function f (x) = √x2 + x + 1 + x. (b). Use a table of values of f (x) to guess the value of the limit. (c). Prove that your guess is co...

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