Write a complete two-column proof for following information:

given: segment ab = x + 16, segment bc = 4x + 11
segment ac = 77
prove: ab = 26

Use the x-intercept method to find all real solutions of the equation. x^3-10x^2+27x-18=0

(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.

The train station clock runs too fast and gains 5 minutes every 10 days. how many minutes and seconds will it have gained at the end of 9 days?