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The formula d = , where h equals the height, in feet, of the viewer's eyes, estimates the distance d, in miles, to the horizon from the viewer. Find the distance to the horizon for a person who eyes are 6 ft above the ground.
Let f: [a,b] ----> R and suppose f is integrable with respect to alpha. Prove that for any c in the real numbers, cf is integrable with respect to alpha and the integral from a to b of cf d(alpha) = c times integral from a to b of f d(alpha).
Write a function for your profits for each price you charge. This is done by multiplying (P-.5) times your function (y= -100x + 250). I.e. if your function is Cups Sold = 1000 - 100P, your profit function would be (P - .5)*(1000 - 100P).
Determine value of money after time 't' by compound interest method - How much money will be in the account in 10 years?
Evaluate whether the given geometric series converge, hence determine the exact number or expression that the series converges to
The subgroup-intermediate subfield given in the fundamental theorem of Galois Theory,
Find the hydrostatic force (in lb) on one end of the tank if it is filled to a depth of 8 ft with gasoline. Assume the gasoline's weight density is 420lbft3 (In British units, "weight density" is the equivalent of g in SI units.)
Use z score to solve the probability. Fluctuation in the prices of precious metals such as gold have been empirically shown to be well approximated by a normal distribution when observed over short interval of time.
In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle
What is the angle of elevation of the ladder?
Justings Co. owned 80% of Evana Corp. During 2006, Justings sold to Evana land with a book value of $48,000. The selling price was $70,000.
If f is an automorphism of S_3, prove that there exists a sigma in S_3 such that f(tau)
Find the monthly breakeven volume for the company.
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