Pretest #3 - Chapter 6.6, 6.7, Chapter 5, and 3.4, 3.5

1. Evaluate without the calculator.

a) b)


2. Find the remaining side and angles of the triangle if b=12, c = 13. Round the angles to the nearest degree and the side to the nearest whole number if necessary.

3. On its landing approach, a plane descends at an angle of . Find the height of the plane when it begins its approach, if the horizontal distance is 21.2 miles from the airport.

4. Sketch the graph of the functions.
a) y = b) y = ln(x + 1) c) y =

5. Solve for x.

a) = x b) (Round to the nearest 2 decimal places.)

6. a) Write the expression as the logarithm of a single quantity.

(1/2)[3 log x + log y ]– 2 log z

b) Use the logarithm properties to rewrite in terms of log x, log y, and log z.

log
7. Solve the logarithmic equation:

8. Use the formula or

a) If $3000 is invested in an account that earns 4% interest, find the amount in the account after 6 years if the interest is calculated monthly.

b) If $6000 is invested, find the time it would take to triple the account if the interest rate is 5% and is compounded continuously.

9. Y varies directly as the square of z and inversely as x. If Y = 10, when z = 4 and x = 8, find Y when z = 6 and x = 12.

10. a) Use Descartes Rule of Signs to determine the possible number of positive and negative real roots.

f(x) =

b) Use the Rational Zero Test to find the possible real zeros:

11. Find all zeros: f(x) =

Answers
1a. or 1b. -1
2. a=5, A = , B=
3. 1.3 miles
4a.

4b.

4c.

5a. x = .5 5b. -.03
6a.
6b. 2(2 log x + (1/2)log y - log z) or 4 log x + log y - 2 log z
7. x = 3, x = -1
8a. $3812.22 8b. 22 years
9. y=15
10a. 2 or 0 positive real roots, 2 or 0 negative real roots
10b. Possible real zeros:
11. -2,-3/2,1