Find the limits: 1. lim x- (4x - 2.r? +3)/(5-2x) 2. lim x-(x-x-3)/(x+4)

3. Find the vertical and horizontal asymptotes of the function f (x) = (x(1+3x))/(x+x-2)

4. Find the derivative of the function f(x)= (1 - 2x)e^(0.5x-1) at x = 2

5. Find the points of local maximum, local minimum and inflection points of the function f(x) = 3x^4 - 24x

6. Find the area below the curve y = x(6-x) from 1 to 4

7. How many bytes have equal numbers of zeros and ones AND begin with one?

8. A basketball player is an 80% free throw shooter. He is shooting free throws until the first miss. What is the probability that his first miss will occur on his 4th shot?

9. A random variable X is given by its distribution function F(x): F(x)=0. if - , if -1x<1 F(x)=1, if x1 a) Find P(0.5< X <1.5) b) Find E(X), Var( X),(X)

10. The life span of computer monitors manufactured by XYZ company is normally distributed with the mean 8 years and standard deviation 1.5 years. What percentage of XYZ monitors will remain operational after 9 years?

11. A random variable X is normally distributed with the mean 5. The probability that X is between 5 and 7 is 3 times greater than the probability that X is less than 3. Find the probability that X is less than 7.