A carpet was made by knotting pieces of fabric together. The finished size was 17.5 square feet and contained 85,680 knots. How many knots are there per square inch?

(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.

Use the graph of the sine function y=2sinθ shown below

The? half-life of a radioactive substance is 20 years. if you start with some amount of this? substance, what fraction will remain in 120 ? years