Questions from General Calculus


Q: In a normal respiratory cycle the volume of air that moves into

In a normal respiratory cycle the volume of air that moves into and out of the lungs is about 500 mL. The reserve and residue volumes of air that remain in the lungs occupy about 2000 mL and a single...

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Q: a. How is the graph of y = f(|x

a. How is the graph of y = f(|x|) related to the graph off ? b. Sketch the graph of y = sin|x|. c. Sketch the graph of y = √|x|.

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Q: Use the given graph off to sketch the graph of y =

Use the given graph off to sketch the graph of y = 1/f(x). Which features of f are the most important in sketching y = 1/f(x)? Explain how they are used.

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Q: Find a. f + t, b. f

Find a. f + t, b. f - t, c. ft, and d. f/t and state their domains. f(x) = x3 + 2x2, g(x) = 3x2 - 1

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Q: Three runners compete in a 100-meter race. The graph

Three runners compete in a 100-meter race. The graph depicts the distance run as a function of time for each runner. Describe in words what the graph tells you about this race. Who won the race? Did e...

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Q: Find a. f + t, b. f

Find a. f + t, b. f - t, c. ft, and d. f/t and state their domains. f(x) = 3 − x , g(x) = x2 − 1

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Q: Find the functions a. f 0 g, b

Find the functions a. f 0 g, b. g 0 f, c. f 0 f, and d. g 0 g and their domains. f(x) = 3x + 5, g(x) = x2 + x

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Q: Find the functions a. f 0 g, b

Find the functions a. f 0 g, b. g 0 f, c. f 0 f, and d. g 0 g and their domains. f(x) = x3 - 2, g(x) = 1 - 4x

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Q: Find the functions a. f 0 g, b

Find the functions a. f 0 g, b. g 0 f, c. f 0 f, and d. g 0 g and their domains. f(x) = x + 1 , g(x) = 4x - 3

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Q: Find the functions a. f 0 g, b

Find the functions a. f 0 g, b. g 0 f, c. f 0 f, and d. g 0 g and their domains. f(x) = sin x, g(x) = x2 + 1

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