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Continuity at a point (x = c)

Volume of a Sphere

Surface Area of a Sphere

Intermediate Value Theorem

1. f(x) is defined at f(c)... 2. The limit as x approaches c of…

V = 4/3 pi r³

S = 4 pi r²

If f(x) is continuous on a closed interval [a,b] and k is any…

Continuity at a point (x = c)

1. f(x) is defined at f(c)... 2. The limit as x approaches c of…

Volume of a Sphere

V = 4/3 pi r³

Continuity at a point (x = c)

Volume of a Sphere

Surface Area of a Sphere

Intermediate Value Theorem

1. f(x) is defined at f(c)... 2. The limit as x approaches c of…

V = 4/3 pi r^3

S = 4 pi r^2

If f(x) is continuous on a closed interval [a,b] and k is any…

Continuity at a point (x = c)

1. f(x) is defined at f(c)... 2. The limit as x approaches c of…

Volume of a Sphere

V = 4/3 pi r^3

Mean Value Theorem

Rolle's Theorem

Intermediate Value Theorem

Fundamental Theorem of Calculus

If the function f is continuous on [a,b] and the first deriva…

If the function f is continuous on [a,b], the first derivativ…

If the function f is continuous on [a.b], then for any number…

∫f(x)dx= F(b)-F(a) where F'(x)= f(x)

Mean Value Theorem

If the function f is continuous on [a,b] and the first deriva…

Rolle's Theorem

If the function f is continuous on [a,b], the first derivativ…

Continuity at a point (x = c)

Volume of a Sphere

Surface Area of a Sphere

Intermediate Value Theorem

1. f(x) is defined at f(c)... 2. The limit as x approaches c of…

V = 4/3 pi r^3

S = 4 pi r^2

If f(x) is continuous on a closed interval [a,b] and k is any…

Continuity at a point (x = c)

1. f(x) is defined at f(c)... 2. The limit as x approaches c of…

Volume of a Sphere

V = 4/3 pi r^3

Derivative of a polar function

Derivative of a parametric function

Disc formula

Second derivative of a parametric equa…

rcos(x)+r'sin(x)/r'cos(x)-rsin(x)

Y'/X'

π∫r²dr

1st derivative/X'

Derivative of a polar function

rcos(x)+r'sin(x)/r'cos(x)-rsin(x)

Derivative of a parametric function

Y'/X'

Continuity at a point (x = c)

Volume of a Sphere

Surface Area of a Sphere

Intermediate Value Theorem

1. f(x) is defined at f(c)... 2. The limit as x approaches c of…

V = 4/3 pi r^3

S = 4 pi r^2

If f(x) is continuous on a closed interval [a,b] and k is any…

Continuity at a point (x = c)

1. f(x) is defined at f(c)... 2. The limit as x approaches c of…

Volume of a Sphere

V = 4/3 pi r^3

Reciprocal Identities

Quotient Identities

Pythagorean Identities

Double Angle Identities

csc(x)=1/sin(x)... sec(x)=1/cos(x)... cot(x)=1/tan(x)

tan(x)=sin(x)/cos(x)... cot(x)=cos(x)/sin(x)

sin^2(x)+cos^2(x)=1... tan^2(x)+1=sec^2(x)... cot^2(x)+1=csc^2(x)

sin2(x)=2sin(x)xos(x)... tan2(x)=2tan(x)/1-tan^2(x)... cos2(x)=co…

Reciprocal Identities

csc(x)=1/sin(x)... sec(x)=1/cos(x)... cot(x)=1/tan(x)

Quotient Identities

tan(x)=sin(x)/cos(x)... cot(x)=cos(x)/sin(x)

Product Rule

SST... CCC

Continuity: For a function to be conti…

lim (1/x)... x->0

d/dx[f(x)g(x)]=f(x)g`(x)+g(x)f`(x)

sec->sec<-tan... csc->-csc<-cot

f(c) must exist... limf(x) must exist... x->c... limf(x)=f(c)... x->c

positive infinity

Product Rule

d/dx[f(x)g(x)]=f(x)g`(x)+g(x)f`(x)

SST... CCC

sec->sec<-tan... csc->-csc<-cot