Old Final Exam Answers


1a)

-32*x-36*x^2+33


b)

5/2/(x+2)^2


c)

6*cos(3*x^2)*x


2)

1/6


3)

0


4)

y := 10*x-8


5)

-1/2*(-sin(x)+y^2-9*x^2)/(x*y)


6b) lim f(x)=4  and lim f(x)=4
   x ->1 -         x -> 1+


c) lim f(x) exists because the left and right limits are equal
   x ->1        


  f(x) is not continuous at x=1 because f(1) does not equal


  lim f(x)
   x ->1


7)

diff(r(t), t) = 1/10/Pi




8)



AbsMax = 20

AbsMin = -7


9)

-1


10a)

-2*tan(x)+4


10b)

27*x-3*ln(3*x)


11a)

tan(x)+C


b)

-3*x-1/x-ln(x)+C


c)

1/3*(x-4)^3+C


d)

2*x+C


12a)

1/10*(2*x-4)^5+C


b)

-1/2*exp(cos(2*x))+C