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18 Cards in this Set

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  • Back

TLA 1

Error Estimate: Change in y=(f'x) (change in x)

TLA 3

Fx=f(a) +(f'a) (x-a)

TLA 2

Approximate a value based on a fixed point a


F(a+change in x)= f(a) +(f'a) (change in x)

Tangent line to y=f(x)

The eq of the tangent line to y=fx at (a, fa) is y-f(a)=(f'a)(x-a)

Horizontal asymptote

The line y=L is a horizontal asymptote if


lim(x appr. + or - infinity) =L

Percent error

((Change in x)/x) *100%

Surface area of a sphere

4pi r^2

Volume of a sphere

4/3pi r^3

Lateral area of a cylinder

2pi*r*h

Total surface area of a cylinder

Pi*rh+2pi r^2

Lateral area of a cone

Pi r√(r^2+h^2)

Total surface area of a cone

Pi*r√(r^2+h^2)+pi*r^2

Equation of an ellipse

(x^2/a^2)+(y^2/b^2)=1

Double angle identity for sine

Sin(2@)=2sin@cos@

Law of cosines

A^2=b^2+c^2-2bc cosA

Angle sum identity for sine

Sin(x + or - y) =sinxcosy + or - cosxsiny

Angle sum identity for cosine

Cos(x + or - y)= cosxcosy - or + sinxsiny

Angle sum identity for tangent

Tan(x + or - y) =(tanx +/- tany) /(1+/- tanxtany)