Questions from Calculus


Q: Find any intercepts.y = x2 + x –

Find any intercepts. y = x2 + x – 2  

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Q: Find any intercepts. y2 = x3 − 4x

Find any intercepts. y2 = x3 − 4x

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Q: Sketch the lines through the point with the indicated slopes. Make

Sketch the lines through the point with the indicated slopes. Make the sketches on the same set of coordinate axes. Point (3, 4) Slopes 1 -2 -(3/2)

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Q: Evaluate the function at the given value(s) of the

Evaluate the function at the given value(s) of the independent variable. Then find the domain and range. a. f (−3) b. f (0) c. f (5) d. f (10)

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Q: Prove that the product of two even (or two odd)

Prove that the product of two even (or two odd) functions is even.

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Q: Prove that the product of an odd function and an even function

Prove that the product of an odd function and an even function is odd.

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Q: A right triangle is formed in the first quadrant by the x

A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (3, 2) (see figure). Write the length L of the hypotenuse as a function of x

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Q: An open box of maximum volume is to be made from a

An open box of maximum volume is to be made from a square piece of material 24 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure). a. Write the vol...

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Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If f(a) = f(b), then a = b

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Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. A vertical line can intersect the graph of a function at most once.

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