The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
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What will be an ideal response?
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Change the given polar coordinates (r, ?) to rectangular coordinates (x, y).(-4, -?/3)
A. (2, 2
)
B. (-2, 2
)
C. (-2
, -2)
D. (-2
, 2)
The position of a car is given by the values in the following table.
Estimate the instantaneous velocity when t = 2 by averaging the velocities for the periods [1,2] and [2,3].
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Solve the problem.On a map of the Fox River, 1 centimeter equals 2 kilometers. If a trail by the river is actually 
long, what is the length of the river on the map?
A. 6.8 cm B. 4.8 cm C. -2.4 cm D. 7.6 cm
Solve the problem.A toy manufacturer makes three types of toys. Toy A requires 12 minutes to assemble, 12 minutes to paint, 4 minutes to package, and sells for $20. Toy B requires 20 minutes to assemble, 12 minutes to paint, 8 minutes to package, and sells for $25. Toy C requires 24 minutes to assemble, 20 minutes to paint, 16 minutes to package, and sells for $30. The manufacturer has available 800 work-minutes for assembly, 600 work-minutes for painting, and 720 work-minutes for packaging each day. They must make at least 10 toys of type A and 15 of type B each day. How many of each type of toy should be produced each day to maximize revenues?
A. 25 of Toy A, 25 of Toy B, 0 of Toy C B. 20 of Toy A, 20 of Toy B, 6 of Toy C C. 6 of Toy A, 10 of Toy B, 20 of Toy C D. 21 of Toy A, 20 of Toy B, 5 of Toy C