equations

Question 1

Parametric Equations (x,y)

Answer 1

x=f(t), y=g(t)

Question 2

The Cycloid x=? y=?

Answer 2

x=r(theta-sin(theta)), y=r(1-cos(theta))

Question 3

dy/dx

Answer 3

dy/dt/dx/dt

Question 4

d^2y/dx^2

Answer 4

d/dt(dy/dx)/dx/dt

Question 5

Arc length equation

Answer 5

L=sqrt(dx/dt)^2+(dy/dt)^2

Question 6

Surface area equation

Answer 6

S=2Piy*sqrt(dx/dt)^2+(dy/dt)^2

Question 7

Polar coordinates equations

Answer 7

x=rcos(theta), y=rsin(theta)

Question 8

cartesian coordinates

Answer 8

R^2=x^2+y^2
Tan(theta)=y/x

Question 9

how do you find radius and interval of convergence.

Answer 9

an+1/an
interval is _+ of R
[ if divergent
( is convergent

Question 10

area of the region

Answer 10

integral(1/2(r)^2 dtheta

Question 11

is lim of N=infinity is equal to zero what is radius of convergence.

Answer 11

infinity

Question 12

when a number is the center is it (x+a) (x-a)

Answer 12

it is (x-a)

Question 13

How do you find slope of tangent line.

Answer 13

find x and find y and plug value of t into Dy/Dx

Question 14

sqrt(a^2-x^2)

Answer 14

asin(theta)

Question 15

sqrt(x^2-a^2)

Answer 15

asec(theta)

Question 16

sqrt(a^2+x^2)

Answer 16

atan(theta)

Question 17

cos^2(theta)

Answer 17

1/2(1+cos(2theta))

Question 18

sinxcosx

Answer 18

1/2(sin(2theta))

Question 19

sin^2(theta)

Answer 19

1/2(1-cos(2theta))