,1. No negative exponents
2. No fraction exponents
3. The leading coefficient is the coefficient with the highest degree
How does multiplicity shape a graph?
cross = multiplicity of 1
bounce = multiplicity that is even
twist = multiplicity that is odd
How is end behavior determined?
1. Degree
2. Leading Coefficient
Odd Degree > L.C. is + > down-up
Odd Degree > L.C. is - > up-down
Even Degree > L.C. is + > up-up
Even Degree > L.C. is - > down-down
How does an oblique asymptote occur?
When there is no Horizontal Asymptote
How do you find Arc length?
s = radians x radius
What are the trig identities?
How do you find the magnitude of a vector?
Distance formula
What are the standard unit vectors?
i = <1, 0>
j = <0, 1>
How do you find the angle between a vector?
* Remember inverse cosine when plugging into the calculator
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, How do you find the unit vector?
(component vector) / (magnitude)
Polar > Rectangular
x = r x cosine x theta
y = r x sine x theta
Rectangular > Polar
x^2 + y^2 = r^2
theta = inverse tangent (y/x)
50!/48! = ?
2450
A solution containing 30% juice is mixed with a solution containing 10% juice to make 100 gallons of
solution that makes 12% juice.How much of the 30% solution was used?
10 gallons
7 runners in a race, how many different orderings of 1st, 2nd, and 3rd place can there be?
210
What is the formula for arithmetic sequence?
a1 + 4d = an
i^63 = ?
-i
How do you find the perimeter and area of a rectangle?
P = 2l + 2w
P = 2 (l + w)
A = lw
How do you find the area of a parallelogram?
A = bh
3|Page
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