The measure of one of the acute angles of a right triangle is decreasing at the rate of π / 36 rad / sec. If the length of the hypotenuse is a constant 40 cm, how fast is the area changing when the acute angle is π / 6?

(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.

Polygon abcde is reflected to produce polygon a′b′c′d′e′. what is the equation for the line of reflection?

Ahiker stands at an unknown elevation before he ascends 2 miles up a mountain to an elevation of 9 miles. find the elevation of the hiker before his ascent.