After sailing 18 mi, a sailor changed direction and increased the boat's speed by 2 mph. An additional 11 mi was sailed at the increased speed. The total sailing time was 3 h. Find the rate of the boat for the first 18 mi. mph

(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.

Which is the length of the hypotenuse of the triangle a. 94ft b. 214 ft c. 33ft d. 37 ft

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.