calc AB midterm formula list

Trapezoid area

A = (1/2)(b1+b2)h

Ellipse area

A = nab

Circle circumference

C = 2nr = nd

Pythagorean theorem/equation of a circle

x^2+y^2 = r^2

Distance formula

d = sqrt( (x2-x1)^2 + (y2-y1)^2 )

Cylinder volume

V = n(r^2)h

Cylinder lateral surface area

S = 2nrh

Cylinder total surface area

S = 2nr^2 + 2nrh

Sphere volume

V = (4/3)nr^3

Sphere surface area

S = 4nr^2

Cone volume

V = (1/3)n(r^2)h

Cone lateral surface area

S = nrl

Cone total surface area

S = nr^2 + nrl

Cone slant height

l = sqrt( r^2 + h^2 )

Square pyramid volume

V = (1/3)(s^2)h

Derivative constant multiple rule

d/dx(cf) = cf'

Derivative exponential

d/dx(e^x) = e^x

Derivative natural logarithm

d/dx(ln x) = 1/x

lim x->0 sinx/x

1

lim x->0 x/tanx

1

lim x-> 0 1-cosx/x

0

Cylinder volume relation

V = n(r^2)h

Cone volume relation

V = (1/3)n(r^2)h