Questions from General Calculus


Q: (a). Find an equation for the family of linear functions

(a). Find an equation for the family of linear functions with slope 2 and sketch several members of the family. (b) Find an equation for the family of linear functions such that f (2) = 1 and sketch s...

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Q: What happens to the graph of the equation y2 = cx3 +

What happens to the graph of the equation y2 = cx3 + x2 as c varies?

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Q: Find expressions for the quadratic functions whose graphs are shown.

Find expressions for the quadratic functions whose graphs are shown.

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Q: The figure shows the graphs of y = sin 96 x and

The figure shows the graphs of y = sin 96 x and y = sin 2x as displayed by a TI-83 graphing calculator. The first graph is inaccurate. Explain why the two graphs appear identical. [Hint: The TI-83&aci...

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Q: The first graph in the figure is that of y = sin

The first graph in the figure is that of y = sin 45 x as displayed by a TI-83 graphing calculator. It is inaccurate and so, to help explain its appearance, we replot the curve in dot mode in the secon...

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Q: Three runners compete in a 100-meter race. The graph

Three runners compete in a 100-meter race. The graph depicts the distance run as a function of time for each runner. Describe in words what the graph tells you about this race. Who won the race? Did e...

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Q: The graph of is given. Draw the graphs of the following

The graph of is given. Draw the graphs of the following functions. (a). y = f (x) -2 (b). y = f (x -2) (c). y = -2 f(x) (d). y = f (1/3x) + 1

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Q: Figure 1 was recorded by an instrument operated by the California Department

Figure 1 was recorded by an instrument operated by the California Department of Mines and Geology at the University Hospital of the University of Southern California in Los Angeles. Use it to estimate...

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Q: The relationship between the Fahrenheit (F) and Celsius (C

The relationship between the Fahrenheit (F) and Celsius (C) temperature scales is given by the linear function F = 9/5C +32. (a). Sketch a graph of this function. (b). What is the slope of the graph a...

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Q: Biologists have noticed that the chirping rate of crickets of a certain

Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 113 chirps per minu...

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