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solve the initial value problem y''-4y'+4y=64sin2t for y(0)=0 and y'(0)=1

Sample means from a infinite population

A population has mean of 60 and a standard deviation of 5. A random sample of 16 

measurements is drawn this population. Describe the sampling distribution of the 

sample mean by computing its mean and standard deviation


Stuck in the middle of a frozen pond with only your physics book, you decide to put physics in action and throw the 5.00-kg book. If your mass is 62.0 kg and you throw the book at 13.0 m/s, how fast do you then slide across the ice? (Assume the absence of friction.)

Please tell me the explanation of the answer.

aluminum-27 absorbs an electron to form magnesium-27

A shipment of 6 computers contains three that are slightly defective. A retailer receives three of these computers at random. List the elements of the sample space S using the letter D and N for defective and none defective computers respectively. To each sample point assign a value of X of the random variable X representing which is slightly defective.


A man uses a rock as a fulcrum and lifts a 300-kg boulder with a metal bar 6.00 m long. Calculare the force necessary to lift the boulder if the fulcrum is:


(a) 1.00 m from where the bar contacts the rock.


(b) 3.00 m from where the bar contacts the rock

Graph the given curve and find the area of a bounded region.


x= 3y^2 - 9

Find the moment coefficient of Skewness and kurtosis for the dat below. a) 9, 3, 4, 2, 9, 5,



Graph the given curve and find the area of a bounded region.


y= 4x - x^2

Much of the demand for U.S. agricultural output has come from other countrie. in 1998 the total demand for wheat was Q=3244-283P. Of this total domestic was QD=1700-107P and domestic supply was QS=1944-207P. Suppose the export demand for wheat falls by 40 percent.
a. U.S. farmers are concerned about this drop in export demand. What happens to the free-market price of wheat in the United States? Do farmers have much reason to worry?



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