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26 Cards in this Set
- Front
- Back
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Combinations rules |
(N,r) = (n, r-1) (N,r-1) + (n,r) = (n+1,r) |
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Rwpeated linears in partial fractions |
A funtion squared one and a funtion one |
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Irriducible quadratics in partial fractions |
Ax +b / the polynomial |
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Improper rational fractions in partial fractions |
Algebriac long divison the partial fractions the remainder |
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Dividing complex numbers |
Multiply by conjugate of denominator Si plify |
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Square roots of complex numbers |
Let it equal a+ib and work it B must be a real number |
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What is cosecx |
1/ sin x |
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What is secx |
1/ cos x |
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What is cot x |
1/tanx |
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Secsquared x= |
Tan squared x +1 |
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Cosec squared x = |
1+ cot squared x |
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Derivative of inverse function |
1/ second derivative of inverse function |
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Derivative of inverse sin |
1/ square roo (1- x squared) |
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Derivative of inverse cos |
- versoin of sin |
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How to do implicit |
When deferintiating y add a dy/dx watxh out for xy cause product rule |
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Second derivatives of implicit |
Diferentiate once Then diferentiate again Sub in dy/dx from old into new Rearrange |
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Logarithmic differentiation |
When x is in power Take ln of each side Differentiate Remember dy/dx |
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Finding constraint equation |
Make t = Then sub into other equation Make equaton in terms of y and x |
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First derivative of parametric |
First derivative of y(t) / first derivative of x (t) |
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Second derivative of parametric |
Y"(t). X'(t) - y'(t).x"(t) / (x'(t)) cubed |
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When detriment of matrix equals or doesnt equal 0 |
Not 0 then unique solution Equal 0 then no solution or multiple |
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Detriment of 2x2 |
DetA = ad -bc |
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Detriment of 3x3 |
A (ei-fh) - b (di -fg) + c (dh -eg) |
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Inverse of matrix |
A.A' = I |
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Inverse of 2x2 |
1/ detA ( d -b , -c a) |
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Inverse of 3x3 |
Multiply by 1 Then swithch it over using eros |
