Determine where the function is increasing and where it is decreasing.f(x) = x2 - 6x + 9
A. increasing on (-?, 3)
decreasing on (3, ?)
B. increasing on (-3, ?)
decreasing on (-?, -3)
C. increasing on (-?, -3)
decreasing on (-3, ?)
D. increasing on (3, ?)
decreasing on (-?, 3)
Answer: D
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Decide whether the compound statement is true or false. The symbol for exclusive disjunction represents "one or the other is true, but not both".6 + 5 = 11
2 + 5 = 9
A. True B. False
Determine the truth value for the compound statement given that p is a true statement, q is a false statement, and r is a false statement. ~(p ? q) ? (r ? ~q)
A. True B. False
Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = e5x/2
A. y = eu; u = 5x/2; =
xe5x/2
B. y = eu; u = 5x/2; =
e5x/2
C. y = eu; u = 5x/2; =
xe5x/2
D. y = eu; u = 5x/2; =
e5x/2
Evaluate as requested.Given that g(x) = 4x3, find g(3 + h).
A. 27 + 27h + 36h2 + 5h3 B. -108 + 108h - 12h2 + h3 C. 108 + 108h + 36h2 + 4h3 D. 108 - 108h + 24h2 - 4h3