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A zoo has the following animals that can all be on exhibit individually or in combinations: {impala, ostrich, helmeted guinea fowl, vulturine guinea fowl, giraffe and elephants}. a. How many different combinations (subsets) of these species can be exhibited together if we include the possibility that none are exhibited? b. If at least one of the species must be exhibited, how man combinations of species can be exhibited together?
calculate the length of the perppendicular from a poit p on the curve defined by ax y2 byz2 to the xz plane where the
Using the parametric equations x=3cost, y=3sint, 0≤t≤pi/2, find the surface area of the solid generated when y is rotated about the x axis.
Determine the length of each side, show the steps of your answer clearly, check your answer, and then state your answer clearly
Suppose an object is dropped from a height feet above the ground. Then its height, in feet, after seconds is given by . If a ball is dropped from 208 feet above the ground, how long does it take to reach ground level?
A manufacturer of lightning fixtures has a daily production costs of C(x)=800-10x+0.25x^2 where C is the total cost (in dollars) and x is the number of units produced.How many fixtures should be produced each day to yield a minimum cost?
what is the probability that each challenge will be won by a different camper? what is the Probability that Hank, one of the Seniors, will win at least one challenge?
A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 12 feet across and 8 feet tall. How long should the pieces of PVC plumbi..
A woman walks due west on the deck of a ship at 2 mi/h. The ship is moving north at a speed of 15 mi/h. Find the speed and direction of the woman relative to the surface of the water. (Round your answers to one decimal place.)
Determine the amount of slack or surplus for each constraint
A car moving at a speed of v mph achieves 24 + 0.1v mpg (miles per gallon) for v between 20 and 60 mph. Your speed as a function of time, t, in hours, is given by v=50(t/t+1). Write an integral that will give the total number of gallons of gas con..
A stone is tossed into a pond creating a circular ripple whose radius increases at a rate of 3 feet per second. In square feet per second, how fast is the area of the ripple increasing 15 seconds after the stone hits the water?
A balloon is rising at a rate of 2 ft/sec. When the balloon is 148 ft above the ground a bike is moving at a rate of 20 ft/sec under it. How fast is the distance between the bike and balloon increasing 6 seconds later?
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