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- Wisconsin
- University of Wisconsin - Madison
- Mathematics
- Mathematics 114
- Camacho
- Terms, Concepts And Things To Remember

Melanie S.

• 65

cards
when you're given the slope of a line and one point, what formula do you use?

Point-Slope Form: y-y1=m(x-x1)

When you're given only two points , find the equation of the line by:

1.) first, finding m: y2-y1/x2-x1

2.) then, plug m in to the point-slope form equation and use either set of points.

2.) then, plug m in to the point-slope form equation and use either set of points.

if two lines are perpendicular, their slopes will be:

Reciprocal and opposite (if one is +, the other will be -)

to find a common intersection between three lines, you must:

1.) set two of them equal to each other and solve for x

2.) plug x and either m value into the equation to get y

3.) plug x and y back into the equation with no numerical values and solve for m

2.) plug x and either m value into the equation to get y

3.) plug x and y back into the equation with no numerical values and solve for m

given g(x) = f(x+b) +c. where in this function can you find the shifts?

f= stretched or shrunk by this value

(x+b) = shifted to the left or right by this value

c= shifted up or down by this value

- or + (f) = denotes the direction the parabola will open

(x+b) = shifted to the left or right by this value

c= shifted up or down by this value

- or + (f) = denotes the direction the parabola will open

how do you find the vertex from an equation in the form (x+t)^{2} + c

t(f(t)) is the vertex.

or, (t,c)

or, (t,c)

X^{m}X^{n}=?

(X^{m})^{n}

(xy)^{m}

x^{0}x^{n}

x^{-n}

x^{m}x^{-m}

how do you find the degree of a polynomial?

for |x| very large, the numerator and denominator (largest terms excluded):

what is a rational function?

How do you divide polynomials?

i^{2} = ?

define a sum and difference of two complex numbers

What is the complex conjugate?

Define multiplication of complex numbers

Define division of complex numbers

What are the three ways to solve systems of linear equations?

log_{b}y= x is the inverse of?

x^{logxy}=

log_{x}x^{t}=

log_{b}1 =

Log_{b}b=

log_{b}y=

log_{b}(xy)=

log_{b }(x/y) =

log_{b}y^{t} =

Describe the expression B(t) = Pe^{rt}

what is the equation for the distance between two points?

What is the equation for the midpoint of a line?

What is the equation of a circle?

Area of a trapezoid

Area of an ellipse/ equation in ellipse form

Area Stretch Theorem

what is the definition of *e*?

lnx is a shorthand way of writing what?

e^{0}=?

lne^{x}=?

e^{lny}=?

What is the equation for the doubling time of a system?

What is the equation for the doubling rate of a system?

how do you find the center, r, and area of a circle given in x^{2}+hx+y^{2}+ky=c form?

Cos(any ø)^{2} +sin(any ø)^{2} always equals...

any point in the region from π/2-->π is...

what is the equation to find arc length?

what is the equation to find the area of a slice?

How do you convert from degrees to radians?

how do you convert from radians to degrees?

how do you find the 4 smallest + numbers ø such that sin or cosø = 0,-1 or 1?

how do you find the 4 smallest + numbers ø such that sin or cosø = 1/2 or √3/2?

secantø=

cosecantø=

cotangentø=

what is another way to write cotangent?

Cos^{2}ø+Sin^{2}ø =?

write tanø in terms of cosø

write secant in terms of tanø

what are the 3 trig identities with (π/2-ø)?

What are the 3 trig identities with (90-ø)?

What are the 3 trig identities with (ø+π)?

what are the 3 trig identities with (ø+2π)?

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