Mid-Term Review 1) What is the Law of Sines formula? 2) What is the Law of Cosines formula? 3) Find...
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Transcript of Mid-Term Review 1) What is the Law of Sines formula? 2) What is the Law of Cosines formula? 3) Find...
Mid-Term Review1) What is the Law of Sines formula?
2) What is the Law of Cosines formula?
3) Find x. 4
8
x
62°
4) What is the inverse of f(x) = 6x – 7?
5) An arithmetic sequence has a3 = -6 and a11 = 50. Find a1.
6) Write recursive and explicit formulas for the sequence in #7.
7) Rewrite the equation in vertex form: y = 2x2 – 8x + 7.What is the vertex?
8) If sin θ = and sec θ < 0, what is cot θ?
9) What is the formula for projectile motion?
10) A projectile is shot straight up from a height of 48 ft with an initial velocity of 32 feet per second.
a) What is the rocket’s maximum height?
b) When will the rocket hit the ground?
2
3
11) Let f(x) = x2 and g(x) =
a) Find f(g(x)) and give its domain.
b) Find g(f(x)) and give its domain.
c) Find g(g(x)) and give its domain.
12) Give the domain and range of in interval notation.
1
3x
2
100( )
4h x
x
13) Factor:
a) 6x2 – 7x + 3
b) 125x3 – 8y3
c) 81x4y6 – 9z10
14) Solve for x using the quadratic formula
(Oh, no! What is that again?)
2x2 + 7x = 6
15) Simplify
5 648x y z