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Calc Terms
terms for start of the year
59
Mathematics
12th Grade
09/05/2018
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Term
 Definition
[image]
Term
y=ax^2+bx+c
 Definition
parabola
Term
xy=k
 Definition
Hyperbola with axes as asymptotes
Term
Ax^2-By^2=c
 Definition
Hyperbola
Term
Ax^2+By^2=c
 Definition
Ellipse
Term
(x-h)^2+(y-k)^2=r^2
 Definition
circle with center at point (h,k) and radius r
Term
Ax+By=C
 Definition
Standard Form of the eguation of line
Term
y=mx+b
 Definition
slope-intercept equation of a line
Term
y-y1=m(x-x1)
 Definition
point-slope equation of a line
Term
logA + logB
 Definition
log(AB)
Term
a^2=b^2+c^2-2bcCosA
 Definition
Law of Cosines
Term
a^c=b
 Definition
loga b=c
Term
V=[image]Bh
B= Area of Base
 Definition
Volume of a pyramid
Term
V=Bh B= Area of Base
 Definition
Volume of a prism
Term
S=4[image]r^2
 Definition
Surface Area of a Sphere
Term
S=2[image]rh=2[image]r^2
 Definition
Total surface area of a cylinder
Term
S=2[image]rh
 Definition
Lateral Surface of a cylinder
Term
C=2[image]r
C=[image]d
 Definition
Circumference of a Circle
Term
A=[image]r^2
 Definition
Area of a Circle
Term
A=[image]h(b1+b2)
 Definition
Area of a trapezoid
Term
M=[image]
 Definition
slope of a line between (x1,y1) and (x2,y2)
Term
x
 Definition
e^lnx
Term
0
 Definition
ln1
Term
1
 Definition
ln e
Term
xlogA
 Definition
logAx
Term
logA-logB
 Definition
log[image]
Term
interchange x and y then solve the equation for y
 Definition
to find the equation of the inverse of a function
Term
reflect the graph of the function across the line y=x
 Definition
to graph the inverse of a function
Term
(fof^-1)(x)=x
 Definition
inverse of a function
Term
f(-x)=-f(x)
 Definition
odd function
Term
f(-x)=f(x)
 Definition
even function
Term
f(-x)=f(x)
 Definition
Function symmetric across the y-axis
Term
f(-x)=-f(x)
 Definition
function symmetric through the origin
Term
the set of all possible values of y for a funtion
 Definition
Range of a function
Term
The set of all possible values of x for a function
 Definition
domain of a function
Term
x=ay^2+by+c
 Definition
Parabola (horizontal axis of symmetry)
Term
A=[image]ab sinC
 Definition
Area of a triangle (SAS Formula)
Term
A=[image]bh
 Definition
Area of a triangle
Term
y-y1=-[image](x-x1)
or
y=-[image]x+b, where b1=y1+[image]
 Definition
line perpendicular to y=mx+b through point(x1,y1)
Term
y-y1+m(x-x1)
or
y=mx+b, where b1+y1-mx1
 Definition
line parallel to y=mx+b through point (x1,y1)
Term
y=e^x
 Definition
inverse of y=lnx
Term
y=lnx
 Definition
Inverse of y=e^x
Term
point (b,a) lies on function f
 Definition
if point (a,b) lies on the inverse function f^-1 then
Term
a^2+b^2=c^2
 Definition
Pythagorean Theorem
Term
1
 Definition
cos^2[image]+sin^2[image]
Term
CSC[image]
 Definition
Sec([image]-[image])
Term
CSC[image]
 Definition
[image]
Term
Sec[image]
 Definition
[image]
Term
Cot[image]
 Definition
[image]
Term
-tan[image]
 Definition
tan(-[image])
Term
Cot[image]
 Definition
Tan([image]-[image])
Term
Cos[image]
 Definition
Sin([image]-[image])
Term
[image](1-Cos2[image])
 Definition
double angle identity for Sin^2
Term
[image](1+Cos2)
 Definition
Double angle identity for Cos^2[image]
Term
V=[image][image]r^3
 Definition
Volume of a sphere
Term
V=[image][image]r^2h
 Definition
Volume of a cone
Term
V=[image]r^2h
 Definition
Volume of a cylinder
Term
Csc^2[image]
 Definition
1+Cot^2[image]
Term
Cot[image]
 Definition
[image]
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