Chapter 10 Equations

Question 1

dy/dx=

Answer 1

dy/dx= dy/dt/dx/dt

Question 2

d^2y/dx^2=

Answer 2

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

Question 3

ds/dt (speed)

Answer 3

rad((dx/dt)^2 + (dy/dt)^2)

Question 4

distance/arc length

Answer 4

integral a-b rad((dx/dt)^2 + (dy/dt)^2) dt

Question 5

when substituting…

Answer 5

x=r cos theta, y= r sin theta

Question 6

polar area

Answer 6

A= integral alpha to beta 1/2 r^2 d theta

Question 7

polar L=

Answer 7

integral a-b rad(r^2 + (dr/dtheta)^2) d theta

Question 8

sin^2x

Answer 8

1/2(1-cos2x)

Question 9

sin(2x)

Answer 9

2sinxcosx

Question 10

cos(2x)-1

Answer 10

cos^2x-sin^2x

Question 11

cos(2x)-2

Answer 11

1-2sin^2x

Question 12

cos(2x)

Answer 12

2cos^2x-1

Question 13

cos^2x

Answer 13

1+(cos2x)/2