Suppose the solution set of a certain system of linear equations can be described as x1 = 4 + 5x3, x2 = -5 - 8x3, with x 3 free. Use vectors to describe this set as a line in set of real numbers R3.

(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.

Find the quotient. 50a2 – 98b2 -5a +7b

Aramp rises 4 feet over a distance of 10 feet. what is the length of the ramp?