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find the area of the region that lies inside the first curve and outside the second curve.
1) r=2cosθ, r=12) r=3sinθ, r=2-sinθ
alan is building a garden shaped like a rectangle with a semicircle attached to one short side. if he has 60 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?
Two planes left an airport at noon. one flew east at a certain speed and the other flew west at twice the speed. The planes were 2700 mi. apart in 3 hours. how fast was each plane flying?
When an object is placed at a distance p from a convex lens having focal length 9 cms, the the image will be at a distance q from the lens while (1/9)= (1/p) + (1/q), find the rate of change.
verify that E is a constant of motion for the system of the first two equations and find the equilibria of the system of the first two equations
Given the following information, calculate the Predictive value positive and the predictive value negative.
Exactly one of the three contestants will win a game show. The probability that Terry wins 0.25 and the probability that Chris wins is 0.65. What is the probability that Toni wins?
Evaluate the Equation of the line which passes through the two given points and Write down the equations of the line described in the following questions
In a random sample of 330 homes, what is the probability that more than 70 do not have an answering device? The probability that more than 70 do not have an answering device
Prove that there is a bijection from the open interval (0, 1) to the half-open interval (0, 1].
A fish tank is 1 yd long, 1.5 ft high, and 15 in wide. Determine the volume of water in the fish tank in cubic feet.Determine the weight of the water in pounds. One cubic foot of water weighs about 62.5 pounds.
Among U.S. cities with a population of more than 250,000 the mean one-way commute to work is 24.3 minutes. The longest one-way travel time is New York City, where the mean time is 37.9 minutes.
The fair price to play the game. A person spins the pointer and is awarded the amount indicated by the pointer. The wheel has three amounts to win
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