Questions from General Calculus


Q: Life expectancy improved dramatically in the 20th century. The table gives

Life expectancy improved dramatically in the 20th century. The table gives the life expectancy at birth (in years) of males born in the United States. Use a scatter plot to choose an appropriate type...

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Q: A small-appliance manufacturer finds that it costs $9000 to

A small-appliance manufacturer finds that it costs $9000 to produce 1000 toaster ovens a week and $12,000 to produce 1500 toaster ovens a week. (a). Express the cost as a function of the number of toa...

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Q: Graph members of the family of functions f (x) =

Graph members of the family of functions f (x) = ln (x2 -c) for several values of c. How does the graph change when changes?

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Q: (a). Find parametric equations for the path of a particle

(a). Find parametric equations for the path of a particle that moves counterclockwise halfway around the circle (x – 2)2 + y2 = 4, from the top to the bottom. (b). Use the equations from part (a) to g...

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Q: (a). Find parametric equations for the set of all points

(a). Find parametric equations for the set of all points P determined as shown in the figure such that |OP| = |AB|. (This curve is called the cissoid of Diocles after the Greek scholar Diocles, who in...

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Q: Solve the equation |2x – 1| - |x –

Solve the equation |2x – 1| - |x – 5| = 3.

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Q: Suppose the graph of f is given. Write an equation for

Suppose the graph of f is given. Write an equation for each of the graphs that are obtained from the graph of f as follows. (a). Shift 2 units upward. (b). Shift 2 units downward. (c). Shift 2 units t...

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Q: Solve the inequality |x – 1| - |x -

Solve the inequality |x – 1| - |x - 3| > 5.

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Q: Draw the graph of the equation x + |x| =

Draw the graph of the equation x + |x| = y + |y|.

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Q: Sketch the region in the plane consisting of all points (x

Sketch the region in the plane consisting of all points (x, y) such that |x| + |y| < 1.

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