Questions from Calculus


Q: Write an equation for a function that has the given graph.

Write an equation for a function that has the given graph. The bottom half of the parabola x + y2 = 0

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Q: Write an equation for a function that has the given graph.

Write an equation for a function that has the given graph. The bottom half of the circle x2 + y2 = 36

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Q: A large room contains two speakers that are 3 meters apart.

A large room contains two speakers that are 3 meters apart. The sound intensity I of one speaker is twice that of the other, as shown in the figure. (To print an enlarged copy of the graph, go to Math...

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Q: Sketch a possible graph of the situation. The speed of

Sketch a possible graph of the situation. The speed of an airplane as a function of time during a 5-hour flight

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Q: The height of a baseball as a function of horizontal distance during

The height of a baseball as a function of horizontal distance during a home run

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Q: A student commutes 15 miles to attend college. After driving for

A student commutes 15 miles to attend college. After driving for a few minutes, she remembers that a term paper that is due has been forgotten. Driving faster than usual, she returns home, picks up th...

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Q: A person buys a new car and keeps it for 6 years

A person buys a new car and keeps it for 6 years. During year 4, he buys several expensive upgrades. Consider the value of the car as a function of time.

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Q: Find the value of c such that the domain of f

Find the value of c such that the domain of f(x) = √c − x2 is [−5, 5].

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Q: Find all values of c such that the domain of f

Find all values of c such that the domain of f(x) = x + 3 / x2 + 3cx + 6

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Q: Can the graph of a one-to-one function intersect

Can the graph of a one-to-one function intersect a horizontal line more than once? Explain.

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