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if a stone is thrown down at 120 feet per second from a height of 1000ft, its height after t seconds is given by s=1000-120t-16t^2. Find its instantaneous velocity function.
You are in the market for oranges. The supply equation (in millions) for oranges is : S(P)= .3p^2 +11P - 40 The demand equation is D(P) = .7p^2 +P - 1
I want to prove that a population mean is not 150. Use an alpha of 5 percent & set up the full, detailed, five step hypothesis test. Suppose when the sample 200 is taken the sample standard deviation is ten & the sample mean is 151.77.
Let A be the real 2x2 matrix with bc greater than or equal to 0. Prove there exists a real 2x2 invertible matrix S so that S^-1 A S is either diagonal or of the form
A company produces very unusual CD's for which the variable cost is $12 per CD and the fixed costs are $25,000. They will sell the CD's for $98 each. Let x be the number of CD's produced.
A particle is moving along the curve y= 2 sqrt{4 x + 4}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this i..
Find fourier series of f(x)=4, x greater than -3 and less than 3. Find fourier series of f(x) = x^2-x+3, x greater than -2 and less than 2
A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees. After 6 minutes, the coffee is 139 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).
when a cake is removed from a baking oven its temoperature is measured at 300F. three minutes later its temperature is 200F.how long will it take to cool off to a room temperature of 70F?
A vertical cross section of a certain 3-dimensional solid is parallel to the base and forms a rectangle. The horizontal cross section is perpendicular to the base and is also a rectangle. Name the 3-dimensional solid.
Let C denote the circle |z| = 1, taken counterclockwise, and use the following steps to show that By using maclaurin series for e^z write the above integral as
Find a general solution to the differential equation.
The monthly charge for a waste collection service is 30 dollars for 90 kg of waste and is 49 dollars for 190 kg of waste.
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