Questions from Calculus


Q: Test for symmetry with respect to each axis and to the origin

Test for symmetry with respect to each axis and to the origin.

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Q: Give an example of functions f and g such that f ∘

Give an example of functions f and g such that f ∘ g = g ∘ f and f(x) ≠ g(x).

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Q: Suppose the speakers in Exercise 13 are 4 meters apart and the

Suppose the speakers in Exercise 13 are 4 meters apart and the sound intensity of one speaker is k times that of the other, as shown in the figure. To print an enlarged copy of the graph, go to MathGr...

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Q: Does the degree of a polynomial function determine whether the function is

Does the degree of a polynomial function determine whether the function is even or odd? Explain.

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Q: Determine whether the function f(x) = 0 is even

Determine whether the function f(x) = 0 is even, odd, both, or neither. Explain.

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Q: An electronically controlled thermostat is programmed to lower the temperature during the

An electronically controlled thermostat is programmed to lower the temperature during the night automatically (see figure). The temperature T in degrees Celsius is given in terms of t, the time in hou...

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Q: Water runs into a vase of height 30 centimeters at a constant

Water runs into a vase of height 30 centimeters at a constant rate. The vase is full after 5 seconds. Use this information and the shape of the vase shown to answer the questions when d is the depth o...

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Q: The horsepower H required to overcome wind drag on a certain automobile

The horsepower H required to overcome wind drag on a certain automobile is H(x) = 0.00004636x3 where x is the speed of the car in miles per hour. a. Use a graphing utility to graph H. b. Rewrite H so...

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Q: Use a graphing utility to graph the polynomial functions p1(

Use a graphing utility to graph the polynomial functions p1(x) = x3 − x + 1 and p2(x) = x3 − x. How many zeros does each function have? Is there a cubic polynomial that has no zeros? Explain

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Q: Prove that the function is odd f(x) =

Prove that the function is odd f(x) = a2nx2n + a2nx2n-2 + . . . + a3x3 + a1x

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