Questions from General Calculus


Q: For what values of c is the function increasing on (-∞, ∞)?

For what values of c is the function increasing on (-∞, ∞)? f (x) = cx + 1/x2 + 3

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Q: How fast is the angle between the ladder and the ground changing

How fast is the angle between the ladder and the ground changing in Example 2 when the bottom of the ladder is 6 ft from the wall?

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Q: Water is leaking out of an inverted conical tank at a rate

Water is leaking out of an inverted conical tank at a rate of 10,000 cm3 /min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at...

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Q: A trough is 10 ft long and its ends have the shape

A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 12 ft3 /min,...

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Q: A swimming pool is 20 ft wide, 40 ft long,

A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at its deepest point. A cross-section is shown in the figure. If the pool is being filled at a rate of 0.8 ft3/mi...

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Q: Gravel is being dumped from a conveyor belt at a rate of

Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is...

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Q: Use the graph to state the absolute and local maximum and minimum

Use the graph to state the absolute and local maximum and minimum values of the function.

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Q: Find the absolute maximum and absolute minimum values of f on the

Find the absolute maximum and absolute minimum values of f on the given interval.

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Q: Sketch the graph of f by hand and use your sketch to

Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Use the graphs and transformations of Sections 1.2 and 1.3.)

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Q: Each side of a square is increasing at a rate of 6m

Each side of a square is increasing at a rate of 6m/s. At what rate is the area of the square increasing when the area of the square is 16 cm2?

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