Questions from Calculus


Q: Use the position function s(t) = −16t2 +

Use the position function s(t) = −16t2 + 500, which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time t = a second...

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Q: (a) Find an equation of the tangent line to the

(a) Find an equation of the tangent line to the graph of f at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the tangent feature of a...

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Q: Use the position function s(t) = −4.

Use the position function s(t) = −4.9t2 + 200, which gives the height (in meters) of an object that has fallen for t seconds from a height of 200 meters. The velocity at time t = a s...

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Q: Use the position function s(t) = −4.

Use the position function s(t) = −4.9t2 + 200, which gives the height (in meters) of an object that has fallen for t seconds from a height of 200 meters. The velocity at time t = a s...

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Q: Find two functions f and g such that / and / do

Find two functions f and g such that / and / do not exist, but does exist.

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Q: Prove that if / exists and / does not exist, then

Prove that if / exists and / does not exist, then /does not exist.

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Q: Prove Property 1 of Theorem 1.1.

Prove Property 1 of Theorem 1.1.

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Q: Prove Property 3 of Theorem 1.1. (You may

Prove Property 3 of Theorem 1.1. (You may use Property 3 of Theorem 1.2.)

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Q: Prove Property 1 of Theorem 1.2.

Prove Property 1 of Theorem 1.2.

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Q: Prove that if / = 0 then /

Prove that if / = 0 then /

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