Questions from Calculus


Q: Evaluate the function at the given value(s) of the

Evaluate the function at the given value(s) of the independent variable. Then find the domain and range. a. f (−3) b. f (1) c. f (3) d. f (b2 + 1)

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Q: Solve the equation for θ, where 0 ≤ θ ≤ 2π

Solve the equation for θ, where 0 ≤ θ ≤ 2π. sec θ csc θ = 2 csc θ

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Q: Solve the equation for θ, where 0 ≤ θ ≤ 2π

Solve the equation for θ, where 0 ≤ θ ≤ 2π. sin θ = cos θ

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Q: Sketch the graph of the equation by point plotting. y

Sketch the graph of the equation by point plotting. y = 1 / x + 2

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Q: Solve the equation for θ, where 0 ≤ θ ≤ 2π

Solve the equation for θ, where 0 ≤ θ ≤ 2π. cos2 θ + sin θ = 1

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Q: Solve the equation for θ, where 0 ≤ θ ≤ 2π

Solve the equation for θ, where 0 ≤ θ ≤ 2π. cos θ/2 - cos θ = 1

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Q: An airplane leaves the runway climbing at an angle of 18°

An airplane leaves the runway climbing at an angle of 18° with a speed of 275 feet per second (see figure). Find the altitude a of the plane after 1 minute.

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Q: While traveling across flat land, you notice a mountain directly in

While traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After you drive 13 miles closer to the mountain, the angle of...

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Q: Determine the period and amplitude of each function. y =

Determine the period and amplitude of each function. y = 2 sin 2x

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Q: Determine the period and amplitude of each function. y =

Determine the period and amplitude of each function. y = 3/2 cos x/2

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