Determine where the function is increasing and where it is decreasing.f(x) = -x2 + 4x - 3
A. increasing on (1, ?)
decreasing on (-?, 1)
B. increasing on (-?, 2)
decreasing on (2, ?)
C. increasing on (-?, 1)
decreasing on (1, ?)
D. increasing on (2, ?)
decreasing on (-?, 2)
Answer: B
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Determine convergence or divergence of the series.
A. Diverges B. Converges
Find the length of the indicated portion of the trajectory.r(t) = (2cos t)i + (2sin t)j + 7tk, 0 ? t ? ?/2
A. 
?
B. 
?
C. 
?
D. 
?
Solve the problem that involves probabilities with independent events.A family has five children. The probability of having a girl is 1/2. What is the probability of having 2 girls followed by 3 boys? Round to the nearest ten-thousandth.
A. 0.1875 B. 0.0313 C. 0.3125 D. 0.6252
Solve the inequality. Write the solution in interval notation and graph the solution set.8 - 3(2 - x) ? -7
A. [-3, ?)
B. (-?, -2]
C. (-?, -3)
D. (-?, -3]