f(x) = summation from n equals 1 to infinity of the product of the quotient of the quantity n plus 1 and 3 to the n plus 1 power and x to the nth power with an interval of convergence, -3 < x < 3. Find exactly the value of the integral from 0 to 2 of of x, dx . Your answer will be a positive integer.

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

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Apiling for a high-rise building is pushed by two bulldozers at exactly the same time. one bulldozer exerts a force of 1250 pounds in a westerly direction. the other bulldozer pushes the piling with a force of 2650 pounds in a northerly direction. what is the direction of the resulting force upon the piling, to the nearest degree? a. 65 n of w b. 25 n of w c. 45 n of w d. 35 n of w