MAT016A MT2 W10 Temple(2)

# MAT016A MT2 W10 Temple(2) - MIDTERM EXAM II Math 16A...

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MIDTERM EXAM II Math 16A Temple-Winter 2010 - Print your name, section number and put your signa- ture on the upper right-hand corner of this exam. Write only on the exam. - Show all of your work, and justify your answers for full credit. SCORES #1 #2 #3 #4 #5 #6 #7 TOTAL:

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1. Diﬀerentiate: (Do not simplify.) (a) (4 pts) y = - x 13 +6 x 2 - 127 73 (Hint: Power Rule) y 0 = (b) (4 pts) f ( x ) = { sin( x ) }{ cos x } (Hint: Product Rule) y 0 = (c) (4 pts) y = 2 x 2 - 3 x 3 +1 (Hint: Quotient Rule) y 0 = (d) (4 pts) f(x)=sin (2 x 2 + 1) (Hint: Chain Rule) y 0 =
2. (10 pts) Diﬀerentiate: f ( x ) = tan 2 ( x + x ) x sin x (Do not simplify.) f 0 ( x ) =

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3. (10 pts) A population of bacteria is introduced into a cul- ture. The number of bacteria P can be modeled by P = 450 1 + t 5 + t 2 ! , where t is in hours. Find the rate of population growth after one hour.
4. Let y = f ( x ) where f ( x ) = 1 3 x 3 - x 2 - 3 x + 1. (a) (3 pts) Find

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MAT016A MT2 W10 Temple(2) - MIDTERM EXAM II Math 16A...

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