9. [-/4 Points] DETAILS SPRECALC7 12.2.036. Determine the common difference, the fifth term, the oth term, and the 100th term of the arithmetic sequence. 66, 47, 28, 9, . . . d ac an 210011. [-/1 Points] DETAILS SPRECALC7 12.3.071. Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. (If the series is divergent, enter DIVERGENT.) 4 4 W13. [-/5 Points] DETAILS SPRECALC7 9.1.060. MY N A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30 E (see the figure). The jet has a speed of 755 mi/h relative to the air, and the pilot heads the jet in the direction N 450 E. N 30 45 (a) Express the velocity of the wind as a vector in component form. (b) Express the velocity of the jet relative to the air as a vector in component form. (c) Find the true velocity of the jet as a vector. (Round your answer to two decimal places.) 'd) Find the true speed of the jet. (Round your answer to the nearest integer.) mi/h Find the direction of the jet. (Round your answer to the nearest integer.) N1:1. [-15 Points] DETAILS SPRECALCT 8.3.063. Write 21 and 22 in polar forrn. 21:740, 22=\\/+f Z Find the product 2122 and the quotients 21 and 2;. (Express your answers in polar farm.) 2 1 2122 = 15. [-11 Points] DETAILS SPRECALC7 7.2.058.MI. Evaluate the expression under the given conditions. tanf + W); (305(9) = - %, 6 in Quadrant III, 5in((p) = %, q; in Quadrant II 16. [-/1 Points] DETAILS SPRECALC7 7.5.048. Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2x). (Enter your answers as a comma-separated list.) 2 sin2(0) = 2 + cos(20)19. [-/2 Points] DETAILS SPRECALC7 8.4.010. A pair of parametric equations is given. x = t+1, y= + +1 (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. 5 51 X X 45 5 -5 5 -5H -5 O O V VO O (b) Find a rectangularcoordinate equation for the curve by eliminating the parameter. 1. [-/6 Points] DETAILS SPRECALC7 6.2.008. Find the exact values of the six trigonometric ratios of the angle 0 in the triangle. A 7 6 sin(0) = = (e)soo tan(0) = csc(0) = sec) = cot(0) =