Questions from General Calculus


Q: A ball is thrown straight up into the air. The function

A ball is thrown straight up into the air. The function h(t) gives the height of the ball (in feet) after t seconds. In Exercises 45–50, translate the task into both a statement involving the function...

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Q: A ball is thrown straight up into the air. The function

A ball is thrown straight up into the air. The function h(t) gives the height of the ball (in feet) after t seconds. In Exercises 45–50, translate the task into both a statement involving the function...

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Q: Evaluate each of the functions in Exercises 37–42 at the

Evaluate each of the functions in Exercises 37–42 at the given value of x. f (x) = |x|, x = -2.5

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Q: Let f (x) = x / x - 2,

Let f (x) = x / x - 2, g(x) = 5 – x / 5 + x, and h(x) = x + 1 / 3x - 1. Express the following as rational functions. g(x + 5) / f (x + 5)

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Q: A ball is thrown straight up into the air. The function

A ball is thrown straight up into the air. The function h(t) gives the height of the ball (in feet) after t seconds. In Exercises 45–50, translate the task into both a statement involving the function...

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Q: Relate to the function whose graph is sketched in Fig. 12

Relate to the function whose graph is sketched in Fig. 12. Is f (4) positive or negative?

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Q: A ball is thrown straight up into the air. The function

A ball is thrown straight up into the air. The function h(t) gives the height of the ball (in feet) after t seconds. In Exercises 45–50, translate the task into both a statement involving the function...

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Q: A ball thrown straight up into the air has height -16x2

A ball thrown straight up into the air has height -16x2 + 80x feet after x seconds. (a) Graph the function in the window [0, 6] by [ -30, 120]. (b) What is the height of the ball after 3 seconds? (c)...

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Q: The daily cost (in dollars) of producing x units of

The daily cost (in dollars) of producing x units of a certain product is given by the function C(x) = 225 + 36.5x - .9x2 + .01x3. (a) Graph C(x) in the window [0, 70] by [ -400, 2000]. (b) What is the...

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Q: A store estimates that the total revenue (in dollars) from

A store estimates that the total revenue (in dollars) from the sale of x bicycles per year is given by the function R(x) = 250x - .2x2. (a) Graph R(x) in the window [200, 500] by [42000, 75000]. (b) W...

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