MA 154 Test 1
Moved up to Thursday, January 25, 2007
Section 3.1/3.2 and 6.1-6.4

 

1.  Recognize the difference between a linear function and an exponential function. Be able to

understand what b and m mean in f(t) = b + mt

(b = initial amount t = 0, m = average rate of change) and what a and b mean in f(t) = a(b)t

(a = initial amount at t = 0, b = growth factor.)

Know how to find the percent of growth or percent of decay from b.

See Quiz 1 Problem 1a and Section 3.1 and 3.2

2. Use a graphing calculator to find where two curves intersect., accurate to 0.01.

See Quiz 1 Problem 1b and Section 3.1 and 3.2

3. Determine the values of the period, amplitude and midline from a sinusoidal graph. Use a

graph of y = f(t ) to find a given to find a value of y if given a value of t or vice versa. Interpret what

these values mean in terms of the context of the problem.

See Quiz 1 Section 6.1 #7-10, 13

4. Sketch the position of a point corresponding to a given angle and give its coordinates both

exactly and approximately. See Quiz 1 and Section 6.2

5. If given a point on a circle as determined by an angle θ , find coordinates corresponding to

θ  + π, π – θ , etc. Interpret the sine or cosine of these angles as coordinates. See Quiz 1 and Section 6.2 and 6.3

6. Determine in which quadrant an angle lies if given certain conditions. See Ch 6 Review

7. Find the degree measure of an angle if given certain conditions. See Section 6.3

8. Understand the relationship between arclength, radius and an angle measure in radians.

Note: s =rθ = only if θ is in radians. See 6.3

9.  If given two of the arclength, radius or an angle find the third. See 6.3

10. Know exact values of sine and cosine for multiples of 30o , 45o , and 60o and their radian equivalents. See worksheet on angles. Also see Section 6.4 and Chapter 6 Tools . Draw these angles on the unit circle.

11. If given two sides of a right triangle and an angle θ , find the third side and find exact values of sin θ, cos θ, and tan θ. See Ch 6 Tools.

12. Solve applied problems involving right triangles. See Ch 6 Tools.

13. Be able to find the formula for a sinusoidal function given its graph or vice versa (Section 6.4)