Questions from Calculus


Q: How do the ranges of the cosine function and the secant function

How do the ranges of the cosine function and the secant function compare?

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Q: Consider an angle in standard position with r = 12 centimeters,

Consider an angle in standard position with r = 12 centimeters, as shown in the figure. Describe the changes in the values of x, y, sin θ, cos θ, and tan θ as &I...

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Q: Sketch the graphs of f(x) = sin x

Sketch the graphs of f(x) = sin x, g(x) = │sin x│, and h(x) = sin(│x│). In general, how are the graphs of ∣f(x)∣ and f(∣x∣) related to the graph of f ?

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Q: The model for the height h of a Ferris wheel car is

The model for the height h of a Ferris wheel car is h = 51 + 50 sin 8πt where t is measured in minutes. (The Ferris wheel has a radius of 50 feet.) This model yields a height of 51 feet when t = 0. Al...

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Q: The monthly sales S (in thousands of units) of a

The monthly sales S (in thousands of units) of a seasonal product are modeled by S = 58.3 + 32.5 cos πt/6 where t is the time (in months), with t = 1 corresponding to January. Use a graphing utility t...

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Q: Use a graphing utility to compare the graph of f(

Use a graphing utility to compare the graph of f(x) = 4/ π (sin πx + 1/3 sin 3 πx) with the given graph. Try to improve the approximation by adding a term to f(x). Use...

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Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

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Q: Sketch a graph of the function and find its domain and range

Sketch a graph of the function and find its domain and range. Use a graphing utility to verify your graph. f(t) = 2 / 7 + t

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Q: Find any intercepts. y = 4x2 + 3

Find any intercepts. y = 4x2 + 3

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Q: Vertical Line Test to determine whether y is a function of x

Vertical Line Test to determine whether y is a function of x. To print an enlarged copy of the graph, go to MathGraphs.com. x2 + y2 = 4

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