Chapter 10 Equations Flashcards
1
Q
dy/dx=
A
dy/dx= dy/dt/dx/dt
2
Q
d^2y/dx^2=
A
= d/dt(dy/dx) / dx/dt
3
Q
ds/dt (speed)
A
rad((dx/dt)^2 + (dy/dt)^2)
4
Q
distance/arc length
A
integral a-b rad((dx/dt)^2 + (dy/dt)^2) dt
5
Q
when substituting…
A
x=r cos theta, y= r sin theta
6
Q
polar area
A
A= integral alpha to beta 1/2 r^2 d theta
7
Q
polar L=
A
integral a-b rad(r^2 + (dr/dtheta)^2) d theta
8
Q
sin^2x
A
1/2(1-cos2x)
9
Q
sin(2x)
A
2sinxcosx
10
Q
cos(2x)-1
A
cos^2x-sin^2x
11
Q
cos(2x)-2
A
1-2sin^2x
12
Q
cos(2x)
A
2cos^2x-1
13
Q
cos^2x
A
1+(cos2x)/2
