Given a utilityfunction of p=f(x/y^2)if the consumer income is given by 2x+y=100determine x and y that maximises utility subject to the income level(lagrejian multiplier)

(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 the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system? a. there are infinitely many solutions. b. there is no solution. c. there is exactly one solution. d. the lines in a system cannot be parallel.

Tcan be concluded that % of the seniors would prefer to see more candid pictures in this year's edition of the yearbook.