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The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm.
(a) Use differentials to estimate the maximum error in the calculated surface area. What is the relative error?
(b) Use differentials to estimate the maximum error in the calculated volume. What is the relative error?
List the factors which would tend to reduce the variation of a prediction from a simple linear regression.
Which set of vertices represents a square?
A gun has a muzzle speed of 70 meters per second. What angle of elevation should be used to hit an object 190 meters away? Neglect air resistance and use 9.8 as the acceleration of gravity.
if a ball is thrown vertically upward at 30 m/s, then its approximate height in meters t seconds later is give by (h)t= 30t - 5t^2.
Write out the equation as a sum.
How many ways can we order a deck of 52 cards so that all the heats are together, all the clubs are together, all the diamonds are together and all the spades are together?
Curly's Life Insurance Co. is trying to sell you an investment policy that will pay you and your heirs $20,000 per year forever. If the required return on this investment is 8 percent, how much will you pay for the policy?
using a suitable change of variables find the solution of 14y-4z234zyz21yz4e2z
Coffee is being poured into the mug at a constant rate. Sketch a graph of the depth of the coffee in the mug as a function of time. Account for the shape of the graph in terms of concavity.
consider the following system of equations 1 4x3y3z-8 2 2xyz-4 3 3x-2ym2-6zm-4. determine the values of m for which
find the perimeter of a trapezoid 1z=1 3/4, 2z=2 3/4, 3z=1 3/4, 4x=1 1/2
Karla Harby Communications, a small company of science writers, found that its rate of profit (in thousands of dollars) after t years of operation is given by the function
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