Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.f(x) = 3x4 - 9x2 + 3; [1, 2]
A. f(1) = -3 and f(2) = -15; no
B. f(1) = 3 and f(2) = 16; no
C. f(1) = 3 and f(2) = -15; yes
D. f(1) = -3 and f(2) = 15; yes
Answer: D
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Determine if the series converges or diverges. If the series converges, find its sum.
A. converges; 
+ 
B. converges; 
+ 
C. converges; 
+ 
D. diverges
A function f(x), a point x0, the limit of f(x) as x approaches x0, and a positive number ? is given. Find a number 
such that for all x, 0 < 
< ? ? 
< ?.f(x) = 9x + 3, L = 21, x0 = 2, and ? = 0.01
A. 0.005 B. 0.005556 C. 0.001111 D. 0.002222
Solve the problem.Scott set up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 6 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 9 feet from the bottom of the pole. To the nearest tenth of a foot, find the length of the rope.
A. 10.8 ft B. 117 ft C. 3.9 ft D. 6.7 ft
Find the solution by graphing the system of equations.A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 6 slices of pizza and 5 soft drinks for $27.52. The second group bought 5 slices of pizza and 4 soft drinks for $22.64. We can represent this situation with the system of equations 6p + 5s = 27.52 5p + 4s = 22.64where p is the cost of a slice of pizza and s is the cost of a soft drink. Determine the cost of one slice of pizza.
A. $2.26 per slice of pizza B. $3.12 per slice of pizza C. $1.76 per slice of pizza D. $2.62 per slice of pizza