The geometric series 1 + (0.2)3 + (0.2)6 + (0.2)9 + ... (I) converges(II) is equal to 
(III) is equal to 
A. II and III
B. III only
C. I and II
D. I, II, and III
E. I and III
Answer: D
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Find the value of the x-coordinate of the points at which the functions intersect, and approximate the area of the region described. Round to two decimal places when necessary.f(x) = sinh x, g(x) = tanh x; the region bounded by the graphs of f, g, and ln 4
A. x = 0; 0.26 B. x = 0; 0.37 C. x = 0; 1 D. x = 0; 0.33
Solve the triangle.a = 8, c = 7, B = 90°
A. b = 10.63, A = 41.2°, C = 48.8° B. b = 9.63, A = 41.2°, C = 48.8° C. b = 10.63, A = 48.8°, C = 41.2° D. b = 11.63, A = 48.8°, C = 41.2°
Planets travel in elliptical orbits with the sun at one focus. Assume that the focus is at the pole, the major axis lies on the polar axis, and the length of the major axis is 2a (see figure). The polar equation of the orbit of a planet is given below, where e is the eccentricity. If 
miles and 
find the perihelion distance (the minimum distance from the sun to the planet). Round your answer to the nearest mile.
A) 86,596,392 miles
B) 91,219,608 miles
C) 8,659,639 miles
D) 9,121,961 miles
E) 865,963,920 miles
Solve the triangle, if possible. Approximate values to the nearest tenth when appropriate.? = 15.1°, b = 19.48, a = 24.93
A. ? = 17.5°, ? = 147.4°, c = 40.3 B. ? = 162.5°, ? = 2.4°, c = 3.1 C. ?1 = 17.5°, ?1 = 147.4°, c1 = 40.3 ?2 = 162.5°, ?2 = 2.4°, c2 = 3.1 D. No solution