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a) Give the third-order MacLaurin polynomial P3(x)for the function f(x)=1/(2+x)
b) Give the value of the remainder R3(x)=f(x)-P3(x)at x=0.6 to six decimal places (note that this is asking for the actual value of the remainder, not the estimate that you get from Taylor's Theorem)?
Suppose S is a multiplicatively closed subset of the ring R. Describe the kernel of the natural ring homomorphism R-->(S^-1)R
Discuss issues involved in developing successful spam filters and the current situation in the war between spammers and people trying to filter spam out.
the management of abc industries is considering a new method of assembling its golf cart.nbsp the present method
ow large a sample must be selected if he wants to be 99 percent confident of finding whether the true mean differs from the sample mean by 2.5 hours?
Analyze the hypotheses related to each compare means question. (State the null and alternative hypotheses for each research question, then state whether you reject or fail to reject the null hypotheses based on the findings.)
Should You Believe a Statistical Study - Is there bias in the sample used in the study and are there any problems in defining or measuring the variables of interest in the study?
What conclusion would you reach if the significance level was .10? .05? .01?
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 2000 miles. What is the probability that a randomly selected tire of this brand will ..
Find the demand functions x∗(p, m) and y∗(p, m). Find the partial derivatives of the demand functions with respect to p and m, and check their signs. How does the optimal expenditure on the good x vary with p? (That is, compute the elasticity of px∗ ..
A tank in the shape of a sphere with radius 10 m is full of gasoline, with density 680 kg/m3. Calculate the work required to empty the tank through a hole at the top.
Assume Jim had executed 15 "Splits" before his last split of 20 seconds. If his eventual time in the road race is 4:05 , what was the average time for one of his earlier splits?
To two decimal places, what is the value of the positive root in the auxiliary equation?
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