Questions from General Calculus


Q: Complete the table. /

Complete the table.

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Q: Find the derivative of the function. /

Find the derivative of the function.

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

Use the position function s(t) = −4.9t 2 + v0 t + s0 for free-falling objects. A projectile is shot upward from the surface of Earth with an initial velocity of 120 meters per second. What is its vel...

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

Use the position function s(t) = −4.9t 2 + v0 t + s0 for free-falling objects. A rock is dropped from the edge of a cliff that is 214 meters above water. (a) Determine the position and velocity func...

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Q: The graph of the position function (see figure) represents the

The graph of the position function (see figure) represents the distance in miles that a person drives during a 10-minute trip to work. Make a sketch of the corresponding velocity function.

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Q: The graph of the velocity function (see figure) represents the

The graph of the velocity function (see figure) represents the velocity in miles per hour during a 10-minute trip to work. Make a sketch of the corresponding position function.

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Q: The volume of a cube with sides of length s is given

The volume of a cube with sides of length s is given by V = s3. Find the rate of change of the volume with respect to s when s = 6 centimeters.

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Q: The area of a square with sides of length s is given

The area of a square with sides of length s is given by A = s2. Find the rate of change of the area with respect to s when s = 6 meters.

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Q: The stopping distance of an automobile, on dry, level pavement

The stopping distance of an automobile, on dry, level pavement, traveling at a speed v (in kilometers per hour) is the distance R (in meters) the car travels during the reaction time of the driver plu...

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Q: A car is driven 15,000 miles a year and gets

A car is driven 15,000 miles a year and gets x miles per gallon. Assume that the average fuel cost is $3.48 per gallon. Find the annual cost of fuel C as a function of x and use this function to compl...

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