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A large swimming pool has a perimeter of 1,068 meters; this rectangular-shaped pool is 30 meters longer than six times its width. Whats dimensions.
At 1 P.M., ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 5 P.M.? (Round your answer to one decimal place.)
evaluate the area of under one arch of a cycloid using its integration.find the area under one arch of a cycloid
et S(n) = 1 + 2 + . . . n be the sum of the first n natural numbers and let C(n) = 1³ + 2³ + . . . n³ be the sum of the first n cubes - Prove the following equalities by induction on n, to arrive at the curious conclusion C(n) = S²(n) for every n. ..
That is, the next ten feet will cost $125; the next ten feet will cost $150, etc. How much will it cost to build a 90-foot tower?"
A person must select 3 numbers from 18 numbers for a single ticket in a lottery game. Only one number has to match in order to win a prize. Find the probability of winning if a person buys one ticket. (Note: The numbers can be selected in any order.)..
What is the NCTM? How did the NCTM respond to the need for more problem-solving and research related to learning mathematics best? What are the NCTM's six guiding principles for school Mathematics?
What is a private enterprise system? What four rights are critical to the operation of capitalism? Why would capitalism function poorly in a society that does not ensure these rights for its citizens?
Find the derivative of y with respect to x of y= 8ln(13x). Find the derivative of y with respect to t. y = t(ln 3t)2 , dy/dt=? Find the derivative of y= ln(tan-1(2x5)) with respect to x.
A building has a rectangular base with opposite corners at (1,5) and (3,7). The roof is the graph of f (x,y) = x cos(y) + x + 1. What is the volume of the building and what is the average height of the building?
Test for symmetry and then graph each polar equation
A surfboard manufacturing company has determined that the cost function c(x), in hundreds of dollars, for producing x hundreds of boards is c(x) = .2x^2 -.84x + 3.625.
Determine the number of points in the sample space of the possible arrangements of boys and girls.
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