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A man at point A on the shore of a circular lake of radius 1 mi wants to reach the opposite point C as soon as possible. He can walk 6mi/h and row his boat 3mi/h. At what angle theta to the diameter should he row?
A baseball is hit from a height of 3 feet with an initial speed of 120 feet per second at an angle of 30 degrees above the horizon. Find the vector-valued function describing the position of the ball t seconds after it is hit.
A union strike vote is scheduled for tomorrow, and it looks close. You expect 100 people to vote, and the probability that a typical individual will vote to strike is estimated to be 0.4. Suppose that the voters make their decisions independent from ..
The owner of the Rancho Grande has 2972 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area..
Let x, y be elements in the Boolean algebra B. Prove that x = y if and only if xy + xy = 0. How many rows are needed to construct the (function) table for a Boolean function of n variables?
An urn contains a white balls and b black balls. After a ball is drawn, it is returned to the urn if it is white; but if itis black, it is replaced by a white ball from another urn. Let M(n) denote the expected number of white balls in the urn aft..
In the questions I have below it says a bowl has eight ping pong balls numbered 1,2,2,3,4,5,5,5. You pick a ball at random.
Determine accumulated rates of change using definite integral - Explain how this represents an accumulated rate of change in detail
How do you restrict a domain on a Casio graphing calculator?
A plane is heading due south with an airspeed of 237 mph. A wind from a direction of 50 degrees is blowing at 12 mph. Find the bearing of the plane.
A 28-year-old man pays $157 for a one-year life insurance policy with coverage of $140,000. If the probability that he will live through the year is 0.9994, what is the expected value for the insurance policy?
Prove the following theorem: If x y + for any > 0 then x y.
23 cars had only air conditioning, 63 cars had only automatic transmissions, and 28 cars had only power steering. 10 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not pow..
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