A young girl has a brother and a sister. The brother lies every Monday, Tuesday and Wednesday and the other days he speaks the truth. The sister lies on Thursdays, Fridays and Saturdays, and the days if the week she speaks the truth. “Yesterday I was lying” the brother told the girl. “So was I” said the sister. What day was this?

Ben bowled 124 and 188 in his first two games. what must he bowl in his third game to have an average of at least 160?

(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.

If you apply the below transformations to the square root parent function, f(x) = vx, what is the equation of the new function? • shift 12 units right. • shift seven units down.