Questions from General Calculus


Q: Sketch the graph of a function f that is continuous on [

Sketch the graph of a function f that is continuous on [1, 5] and has the given properties. Absolute maximum at 2, absolute minimum at 5, 4 is a critical number but there is no local maximum or minimu...

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Q: (a) Sketch the graph of a function that has a

(a) Sketch the graph of a function that has a local maximum at 2 and is differentiable at 2. (b) Sketch the graph of a function that has a local maximum at 2 and is continuous but not differentiable a...

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Q: (a) Sketch the graph of a function on [21

(a) Sketch the graph of a function on [21, 2] that has an absolute maximum but no local maximum. (b) Sketch the graph of a function on [21, 2] that has a local maximum but no absolute maximum.

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Q: A bacteria culture contains 200 cells initially and grows at a rate

A bacteria culture contains 200 cells initially and grows at a rate proportional to its size. After half an hour the population has increased to 360 cells. (a) Find the number of bacteria after t hour...

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Q: (a) Sketch the graph of a function on [21

(a) Sketch the graph of a function on [21, 2] that has an absolute maximum but no absolute minimum. (b) Sketch the graph of a function on [21, 2] that is discontinuous but has both an absolute maximum...

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Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. y = (tan-1x)2

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Q: (a) Sketch the graph of a function that has two

(a) Sketch the graph of a function that has two local maxima, one local minimum, and no absolute minimum. (b) Sketch the graph of a function that has three local minima, two local maxima, and seven cr...

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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.) f (x) = ½ (3x – 1), x ≤...

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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.) f (x) = 2 – 1/3x, x ≥ -2...

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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.) f (x) = 1/x, x ≥ 1

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