Evaluate the integral.

A. 98
B. 1
C. -77
D. 23


Answer: A

Mathematics

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The sun is 20º above the horizon. Find the length of a shadow cast by a park statue that is 30 feet tall. Approximate the answer to two decimal places. ?

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Solve the problem.On an average winter day in North Town a 24-hour heating and plumbing company receives 100 calls from customers requiring service. The number of calls varies, however, depending on the outside temperature (in degrees Celsius). Here is some data giving the number of calls as a function of the temperature.  Sketch the given data on an appropriately scaled and labeled coordinate axes.

A.


B.


C.


D.


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Solve.A boat moves 10 kilometers upstream in the same amount of time it moves 15 kilometers downstream. If the rate of the current is 5 kilometers per hour, find the rate of the boat in still water.

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Solve the problem.A projectile is fired from a height of 6 feet with an initial velocity of 198 ft/sec at an angle of 49° with the horizontal. The parametric equations for the path of the projectile are x = (198 cos 49°)t, and y = 6 + (198 sin 49°)t - 16t2,where x and y are in feet and t is in seconds. How long does it take the projectile to hit the ground? Round your answer to the nearest tenth of a second.

A. 18.8 sec B. 12 sec C. 9.4 sec D. 9.3 sec

Mathematics