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How do you find the vertical Asymptote of a quotient function?
Set denominator equal to zero & solve
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What does a vertical Asymptote mean?
The limit as x goes to the vertical Asymptote approaches positive or negative infinity
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What does EATS DC stand for? And What is it used for?
Exponents the same, Divide coefficients. The Horizontal Asymptote is Ax2/Bx2 = A/B
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What does BOTN stand for? What is it used for?
Finding Horizontal Asymptotes. Bigger on Top, None Asymptote
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What does BOBO mean? And What is it for?
- Bigger on bottom y = 0
- Horizontal Asymptotes
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How do you find the Horizontal Asymptote of a quotient function?
- BOBO: Bigger on bottom y = 0
- BOTN: Bigger on Top, None
- EATS DC: Exponents the same, compare coefficients
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What are coefficients?
- ax2+bx..
- a and b are the coefficients
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What is the limit of cos(infinity)?
DOES NOT EXIST
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How do you make a split function continuous?
Set limits at point to be continous at equal
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What is the tangent line formula?
y-y0 = m(x-x0)
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What is `m` equal to in the tangent line formula?
The first derivative
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What are parametric curves?
- A line, where x and y are dependent on some other variable, t.
- IE: (x,y) = ( f(t) , g(t) )
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What makes a function differentiable?
The slope from left and right are equal!
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What is the rate of angular momentum?
Change in momentum over change in time
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What is the unit for angular momentum?
kg * m2/s2
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What is Torque in terms of angular momentum?
Rate of change of angular momentum
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How do you know if a function is odd?
f(-x) = -f(x)
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How do you know if a function is even?
f(-x) = f(x)
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What trick is useful when finding integrals of even/odd functions on interval -A to +A?
- Odd functions = 0
- Even functions are twice the integral from 0 to +A
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