Download (2)ааf(x) = 2x

Problems for the November Cumulative Quiz ­ Algebra 2 and Stats
Problem Set ­ October 29th
1. Which of the following is one­to­one?
(1) f(x) = 2x2
(2) f(x) = 2x
(3) f(x) = |2x|
(4) f(x) = 2tanx
2. If g(x) = x2 and f(x) = 2x + 1, then g(f(x)) equals
(1) (2x + 1)2
(2) 2x2+ 1
(3) 4x2 + 1 (4) x2 + 2x + 1
Problem Set ­ October 30th Perform the indicate operations and simplify completely.
Problem Set ­ October 31st
1. In an AC circuit, the voltage (V) can be found by multiplying the current (C) and impedance (I). Find the impedance, in ohms, if the voltage is 26­22i volts and the current is 3 ­ 4i amps.
2. Write an equation of a trigonometric function that has an amplitude of 4 and a period of π.
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Problem Set ­ November 4th 1. The lengths of two adjacent sides of a parallelogram are 42 cm and 36 cm. An angle of the parallelogram is 40 degrees. Find the measure of the longest diagonal, to the nearest tenth of a centimeter. 2. In triangle ABC, the AC = 32, BC = 10 and the measure of angle C is 49.4 degrees. a. Find the length of side AB, to the nearest tenth.
b. Using the length found in part a, find the measure of angle A to the nearest tenth of a degree. Problem Set ­ November 5th A man, standing on a cliff 85 feet high at the edge of the water, sees two ships. He positions himself so that the ships are in a straight line with a point directly below where he is standing. He estimates that the angle of depression of the closer ship is 75 degrees and the angle of depression of the farther ship is 35 degrees. How far apart, to the nearest tenth of a foot, are the two ships?
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November 6th 1. Triangle ABC has side lengths of b = 10, c = 14 and m<C = 58, find the area of triangle, to the nearest integer. (7 points) 2. In the diagram, MA || HT, MA = 32.4 inches, MT = 25.5 inches, MH = 16.9 inches, m<AMT = 39 and m<HMT = 28. a. Find the length of HT to the nearest tenth of an inch.
b. Find the area of trapezoid MATH to the nearest tenth of a square inch.
32.4
(10 points)
A
M
39o
28o
25.5
16.9
H
T
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November 13th ­ Problem Set
Solve for all values of x, between 0 and 360 inclusive. 1. 5sin2x ­ 3 = 0 (Round all values of x to the nearest hundredth).
2. 5sin2x = ­7sinx (Round all values of x to the nearest thousandth).
Problem Set ­ November 15th
Solve.
2x3 + 14x 2 ­ 36x > 0
Problem Set ­ November 18th 1. Find the 410th term in the following sequence: ­111, ­108, ­105, ...
2. Find A1, A101, and d for the arithmetic sequence if A10 = 104 and A52 = 244. Problem Set ­ November 19th 1. Find 4 arithmetic means between 11 and 73. 4
Problem Set ­ November 20th 1. a. Represent the sum of the first 20 terms of the arithmetic series 15 + 22 + 29 + ... using sigma notation.
b. Find the designated sum, S20. 2. a. Represent the sum of the first 40 terms of the arithmetic series ­9 + ­5 + ­1 + 3 + ... using sigma notation.
b. Find the designated sum, S40. 3. The sum of the first and last terms of an arithmetic sequence is 80 and the sum of all of the terms is 1200. How many terms are in the sequence?
Problem Set ­ November 21st 1. Find the 9th term in the geometric sequence 125, 25, 5, ...
2. Solve Problem Set ­ November 25th
1. Solve for x. 2. Find the sum of the first thirty­five terms of the arithmetic sequence that has a 9th term of 43 and a 42nd term of 208. 3. Find the 21 term in the geometric sequence if a1 = 4 and a6 =12
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