Questions from General Calculus


Q: Where should the point P be chosen on the line segment AB

Where should the point P be chosen on the line segment AB so as to maximize the angle θ?

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Q: A painting in an art gallery has height h and is hung

A painting in an art gallery has height h and is hung so that its lower edge is a distance d above the eye of an observer (as in the figure). How far from the wall should the observer stand to get the...

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Q: Use Newton’s method with the specified initial approximation x1 to find x3

Use Newton’s method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (Give your answer to four decimal places.) 2x3 - 3x2 + 2 = 0 , x1...

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Q: Find the maximum area of a rectangle that can be circumscribed about

Find the maximum area of a rectangle that can be circumscribed about a given rectangle with length L and width W.

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Q: Use Newton’s method with the specified initial approximation x1 to find x3

Use Newton’s method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (Give your answer to four decimal places.) x7 + 4 = 0, x1 = -1

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Q: Ornithologists have determined that some species of birds tend to avoid flights

Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than ove...

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Q: Use Newton’s method with initial approximation x1 = -1 to find

Use Newton’s method with initial approximation x1 = -1 to find x2, the second approximation to the root of the equation x3 + x + 3 = 0. Explain how the method works by first graphing the function and...

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Q: Two light sources of identical strength are placed 10 m apart.

Two light sources of identical strength are placed 10 m apart. An object is to be placed at a point P on a line ,l, parallel to the line joining the light sources and at a distance d meters from it (s...

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Q: Differentiate the function. F(s) = ln ln

Differentiate the function. F(s) = ln ln s

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Q: Use Newton’s method with initial approximation x1 = 1 to find x2

Use Newton’s method with initial approximation x1 = 1 to find x2, the second approximation to the root of the equation x4 - x - 1 = 0. Explain how the method works by first graphing the function and i...

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