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53 Cards in this Set
- Front
- Back
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derivatives
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f(∆x+x)- f(x)/∆x
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arccsc
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y=arcsin(1/x)
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arcsec
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y=arccos(1/x)
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arccot
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y=(π/2)-arctanx
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arcsin
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domain= [-1,1] range= [-π/2, π/2]
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arccos
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domain= [-1,1] range= [0,π]
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arctan
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domain= all real numbers range= [-π/2, π/2]
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sin
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domain= [-π/2,π/2] range=[-1,1]
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cos
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domain= [0,π] range=[-1,1]
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tan
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domain=[-π/2, π/2] range= all real numbers
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2^4
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16
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2^5
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32
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2^6
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64
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2^7
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128
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2^8
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256
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2^9
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512
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2^10
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1024
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2^11
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2048
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2^12
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4096
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2^13
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8192
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2^14
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16384
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2^15
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32,768
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2^16
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65,536
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2^17
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131,072
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2^18
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262,144
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2^19
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524,288
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2^20
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1048576
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sinw (in terms of cos)
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-√(1-cos^2w)
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secw (in terms of tan)
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√(tan^2w +1)
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Log(base z)y=b
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z^b=y
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sin(π/6)
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1/2
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sin(π/4)
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√(2)/2
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sin(π/3)
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√(3)/2
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cos(π/6)
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√(3)/2
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cos(π/4)
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√(2)/2
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cos(π/3)
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1/2
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law of sines
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sin<A/a=sin<B/b=sin<C/c
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law of cosines
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a^2=b^2+c^2-2bcCos<A
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Sin(A+B)
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SinACosB+SinBCosA
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Sin(A-B)
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SinACosB-SinBCosA
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Cos(A+B)
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CosACosB-SinASinB
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Cos(A-B)
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CosACosB+SinASinB
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Exponential growth formula
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P(t)=P(initial)e^kt
t=time p(O/initial)=population initially k=constant |
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exponential decay formula
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1/2P(o)=P(o)e^kt
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equation of a circle
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(x-h)^2+(y-K)^2=r^2
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vertical line test
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equation is a function only if every verticle line intersects with the equation at the most once
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horizontal shifts of graphs
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f(x-c) y=f(x) shifted to the right c units
f(x+c) y=f(x) shifted to the left c units |
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vertical shifts of graphs
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y=f(x)+c y= f(x)shifted upward c units
y=f(x)-c y=f(x) shifted donward c units |
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quadratic equation
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-b+/-√(b^2-4(a)(c))/2a
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pythagorean identty
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(sint)^2+(cost)^2=1
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y=Asin(Bx+C)
y=Acos(Bx+C) |
absolute value A=amplitude
period is 2π/B horizontally shifted by absolute value C/B--> shift is left when C/B >O shift is right when C/B< O |
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sine2x
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2sinxcosx
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cos2x
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(cosx)^2-(sinx)^2
2(cosx)^2-1 1-2(sinx)^2 |
