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Solve the Problem F(x)=−2(x−6)2+5(x−6)−42(x−6)+60F ( x ) = - \frac { 2 ( x - 6 ) ^ { 2 } + 5 ( x - 6 ) - 4 } { 2 ( x - 6 ) + 60 }

Question 243

Multiple Choice

Solve the problem.
-As one approaches a certain sound source, the sound intensity in arbitrary units increases according to the following function of time: F(x) =−2(x−6) 2+5(x−6) −42(x−6) +60F ( x ) = - \frac { 2 ( x - 6 ) ^ { 2 } + 5 ( x - 6 ) - 4 } { 2 ( x - 6 ) + 60 } . Starting at x=0x = 0 , when the source of sound is first sensed, how much time elapses until maximum sound intensity is felt? Round the result to the nearest hundredth.


A) 0.12sec0.12 \mathrm { sec }
B) 52.69sec52.69 \mathrm { sec }
C) 4.69sec4.69 \mathrm { sec }
D) 29.92sec29.92 \mathrm { sec }

Correct Answer:

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