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the length of a rectangular pool is 6 meters less than twice the width. if the pool's perimeter is 126 meters, find the surface area of the pool.
Find the volume using shell method? Rotate the region bounded by y=x and y=x^2 about the y-axis. The answer is 3pi/10. Please explain.
Truth Values that are between 0 and 1 indicate varying degrees of truth. For instance, the truth value 0.8 can be assigned to the statement "Bob is happy," because Bob is happy most of the time
At noon, ship A is 60 km west of ship B. Ship A is sailing south at 15 km/h and ship B is sailing north at 5 km/h. How fast is the distance between the ships changing at 4:00 PM? (Round your answer to one decimal place.)
Determine if the given set constitutes a real vector space. The operations of "multiplication by a number" and "addition" are understood to be the usual operations associated with the elements of the set:
State the null & alternative hypotheses in words
Determine the probability that is within one standard deviation of the mean: ?
If the graph of a function has three x intercepts, then it must have at least two points at whch its tangent line is horizontal. If f'(x) = 0 for all x in the domain of f, then f is a constant function.
Let f (x) = |x| for x greater or equal to -1, less than or equal to +1. Write the Fourier series for f (x) on [-1,1]. Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
At what point do the curves r1 = and r2 = intersect? And what is the angle of intersection?
How many passengers are required in the sample to reduce in half the sampling error within which we need to estimate the proportion of passengers who had purchased tickets for more than $400 over a year's time?
Find the diameter of the largest circular pond that could fit in a triangular garden with vertices at (18,54), (-27,36), and (27,-18), where a unit reprsents 1m.
A radio transmission tower is 322 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 23o with the ground? How many feet long should the guy wire be? Round your answer to the nearest foot and do not write the uni..
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