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(Ch. C.3-C.4)
Solving Equations/Inequalities
(Ch. 1)
Functions and Their Graphs
(Ch. 2)
Polynomial and Rational Functions
(Ch. 3)
Exponential and Logarithmic Functions
(Ch. 4)
Trigonometric Functions
100
Find the midpoint given (3, 7) and (4, -9)
(7/2, -1)
100
Find the center, radius and equation of a circle with endpoints of a diameter at (6, -5) and (-2, 7)
C = (2, 1) R = rad(52) Equation: (x - 2)^2 + (y - 1)^2 = 52
100
How many possible zeros are there for 3x^4 - 2x^3 + x^2 - 5x - 7 = 0?
8 possible zeros
100
Solve: 2^(4x) = 32
x = 5/4
100
If tan(theta) > 0 and cos(theta) < 0 which quadrant is theta in?
Q. III
200
Find the distance between (3, 7) and (4, -9)
rad(257) = 16.03
200
Given line 2x - 3y = 10 and through point (2, 7) find the perpendicular line
y = (-3/2)x + 10
200
What is the remainder of (5x^4 - 3x^2 + 4x - 10)/(x + 3)
356
200
Solve ln(x^2 + 1) = 3.2. Round to 4 decimal places
x = -4.8510 and 4.8510
200
Find Cos(arcsin(1/3))
(2rad(2))/3
300
What are the critical points of x^2 - 3x > 10
x = -2 and 5
300
Let f(x) = 3 - 2x and g(x) = 3x^2 + 5. Find g[f(x)]
12x^2 - 36x + 32
300
Find the cubic polynomial given zeros 1, -2i
f(x) = x^3 - x^2 + 4x - 4
300
Solve 4^(3 - x) = 726. Round to 4 decimal places
x = -1.7519
300
Given cos(theta) = 5/7, find cot(theta) if theta is in Q. IV
-[5rad(6)]/12
400
What are the testing intervals of x^2 - 3x > 10
(-infinity, -2) U (-2, 5) U (5, infinity)
400
Find the domain (in interval notation) of f(x) = [rad(x-5)]/(x-7)
[5, 7) U (7, infinity)
400
What is the vertical asymptote, horizontal asymptote and hole of f(x) = (x + 5)/(2x^2 + 7x - 15)
VA: x = 3/2 HA: y = 0 Hole @ x = -5, point (-5, -1/13)
400
Solve lne^(x + 1) = 20
x = 19
400
What are the five increments of the new cycle of: y = 2sin(2x - Pi)
Pi/2, 3Pi/4, Pi, 5Pi/4, 3Pi/2
500
Solve x^2 - 3x > 10
(-infinity, -2) U (5, infinity)
500
Find the inverse of f(x) = 4x^3 - 3 in simplified radical form
[f^(-1)](x) = [cuberoot(2x+6)]/2
500
Find all the zeros (real and imaginary) of f(x) = x^3 - 3x^2 + 4x - 2 using the rational zero test.
x = 1, (1 + i) and (1 - i)
500
Solve log(base 8 of x) + log(base 8 of (x - 1)) = 1/3. Don't forget to check for extraneous solutions
x = 2 (solution) x = -1 (extraneous)
500
Find side a given angle A = 54 degrees and side b = 12.4 cm. Round 2 decimal places
a = 17.07 cm