Questions from General Calculus


Q: When a particle is located a distance x meters from the origin

When a particle is located a distance x meters from the origin, a force of / newtons acts on it. How much work is done in moving the particle from x = 1 to x = 2? Interpret your answer by considering...

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Q: Shown is the graph of a force function (in newtons)

Shown is the graph of a force function (in newtons) that increases to its maximum value and then remains constant. How much work is done by the force in moving an object a distance of 8 m?

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Q: (a) Find the average value of f on the given

(a) Find the average value of f on the given interval. (b) Find c such that fave – f(c) (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph o...

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Q: Sketch the region enclosed by the given curves and find its area

Sketch the region enclosed by the given curves and find its area.

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Q: (a) Find the average value off on the given interval

(a) Find the average value off on the given interval. (b) Find c such that fave – f(c) (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of...

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Q: (a) Find the average value of f on the given

(a) Find the average value of f on the given interval. (b) Find c such that fave – f(c) (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph o...

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Q: (a) Find the average value of f on the given

(a) Find the average value of f on the given interval. (b) Find c such that fave – f(c) (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph o...

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Q: If f is continuous and / show that f takes on the

If f is continuous and / show that f takes on the value 4 at least once on the interval [1, 3].

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Q: Find the numbers b such that the average value of f(

Find the numbers b such that the average value of f(x) = 2 + 6x = 3x2 on the interval [0, b] is equal to 3.

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Q: Find the average value off on [0, 8].

Find the average value off on [0, 8].

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