Questions from Calculus


Q: A bicyclist is riding on a path modeled by the function f

A bicyclist is riding on a path modeled by the function f(x) = 0.08x, where x and f(x) are measured in miles (see figure). Find the rate of change of elevation at x = 2.

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Q: Consider the function f(x) = √x and the

Consider the function f(x) = √x and the point P(4, 2) on the graph of f. a. Graph f and the secant lines passing through P(4, 2) and Q(x, f (x)) for x-values of 1, 3, and 5. b. Find the slope of each...

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Q: Consider the function f(x) = 6x – x2 and

Consider the function f(x) = 6x – x2 and the point P(2, 8) on the graph of f. a. Graph f and the secant lines passing through P(2, 8) and Q(x, f(x)) for x-values of 3, 2.5, and 1.5. b. Find the slope...

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Q: Use the rectangles in each graph to approximate the area of the

Use the rectangles in each graph to approximate the area of the region bounded by y = 5/x, y = 0, x = 1, and x = 5. Describe how you could continue this process to obtain a more accurate approximation...

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Q: In your own words, describe the meaning of an infinite limit

In your own words, describe the meaning of an infinite limit. What does ∞ represent?

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Q: Determine whether f(x) approaches ∞ or −∞ as x

Determine whether f(x) approaches ∞ or −∞ as x approaches 4 from the left and from the right. f(x) = -1 / (x – 4)2

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Q: Find the limit L. Then use the ε-δ definition

Find the limit L. Then use the ε-δ definition to prove that the limit is L.

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Q: Find the limit. /

Find the limit.

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Q: Find the limit. /

Find the limit.

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Q: Find the limit. /

Find the limit.

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