# Study sets matching "calculus b"

Study sets

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Finding Zeroes

Finding Intersections

To show f(x) is even

to show if f(x) is odd

-set f(x) equal to 0... -2nd calc "Zero"... -factor/Quad Formula

-set the two functions equal to each other... -2nd calc "Intersec…

-symmetrical about the y-axis... -no matter what x value is put i…

-symmetric about the origin... -

Finding Zeroes

-set f(x) equal to 0... -2nd calc "Zero"... -factor/Quad Formula

Finding Intersections

-set the two functions equal to each other... -2nd calc "Intersec…

Piecewise Function

Volume of a sphere

Horizontal Line Test

Vertical Line Test

Ex. y ={-3x - .5, -1 < x < 1 ; 2x + 1, 1 <= x <= 3

4/3

**r^3**PIA test to see if a horizontal line passes through the graph mo…

A test use to determine if a relation is a function. A relatio…

Piecewise Function

Ex. y ={-3x - .5, -1 < x < 1 ; 2x + 1, 1 <= x <= 3

Volume of a sphere

4/3

**r^3**PIcircle

closed interval [a, b]

coefficient

complex number

the set of points in a plane that are equidistant from a given…

a < or = x < or = b

the product of all the factors in an expression except for a s…

a number of the type a + bi, where i is the square root of -1…

circle

the set of points in a plane that are equidistant from a given…

closed interval [a, b]

a < or = x < or = b

Circle

Closed interval [a,b]

Coefficient

Complex number

the set of points in a plane that are equidistant from a given…

a≤x≤b

the product of all the factors in an expression except for a s…

a number of the type a +bi. where i is √-1 and a and b are rea…

Circle

the set of points in a plane that are equidistant from a given…

Closed interval [a,b]

a≤x≤b

Geometric series with n terms

Geometric series with infinite terms

Divergence test

Integral Test

S,n =a(1-r^n)/(1-r)

S,∞= a/1-r

for S,n = ∑a,n... If ... lim a,n ≠ 0 → divergent

a,n = f(x)... If f(x) is positive, decreasing function:... If ∫f(x)…

Geometric series with n terms

S,n =a(1-r^n)/(1-r)

Geometric series with infinite terms

S,∞= a/1-r

Mean Value Theorem

Average Value

Fundamental Theorem of Calculus

Second Fundamental Theorem of Calculus

f'(c)=[f(b)-f(a)]/(b-a)

f(ave)= 1/(b-a)int(ab)f(x) dx

int(ab)f(x)dx= F(b)-F(a)

(d/dx)int[a(x)b(x)]f(t)dt= f[b(x)]b'(x)-f[a(x)]a'(x)

Mean Value Theorem

f'(c)=[f(b)-f(a)]/(b-a)

Average Value

f(ave)= 1/(b-a)int(ab)f(x) dx

Intermediate Value Theorem

Average Rate of Change

Instantenous Rate of Change

Formal definition of derivative

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

Slope of secant line between two points, use to estimate insta…

Slope of tangent line at a point, value of derivative at a poi…

limit as h approaches 0 of [f(a+h)-f(a)]/h

Intermediate Value Theorem

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

Average Rate of Change

Slope of secant line between two points, use to estimate insta…

What conditions must be to satisfied fo…

If the appropriate conditions are satis…

Limit

Quotient rule?

f(x) is continuous in the interval [a, b] and differentiable i…

There is at least one point c in the interval (a, b) at which…

A limit is the value that a function or sequence "approaches"…

(vu'-uv')/v^2

What conditions must be to satisfied fo…

f(x) is continuous in the interval [a, b] and differentiable i…

If the appropriate conditions are satis…

There is at least one point c in the interval (a, b) at which…