Explain what optimization and linear programming problems entail. How do you solve them? What are some of the ways these problems can be made easier? How are these problems beneficial? What types of jobs would use the reasoning involved in these kinds of problems?

(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.

Haruka hiked several kilometers in the morning. she hiked only 66 kilometers in the afternoon, which was 25% less than she had hiked in the morning. how many kilometers did haruka hike in all?

What is the value of p in the equation y^ = -4x?