Related Rates Flashcards Preview

AP Calculus AB > Related Rates > Flashcards

Flashcards in Related Rates Deck (3):
1

Basic Rate Problem
-Draw picture
-Write _
-Write formula
-Take derivative
-Remember chain rule
-Remember product rule
-Remember quotient rule
-Each variable in the formula will have a _ (even )
-Rates = 0 if not _
-Make sure a rate is _ if it is getting smaller
-Replace with knowns
-Solve
-Units
-Length = units
-Area = units2
-Volume = units3
-Three significant figures

Knowns, derivative, changing, negative

2

Shadow Problem
-Draw picture
-Write down known
-Make ratios with _ values
-Cross multiply
-Take _
-“Shadow lengthening” = dy/dt
-“Tip of shadow lengthening” = dz/dt
-Solve
-X1 + X2 = Z
-dX1/dt + dX2/dt = dZ/dt
-Units
-Three significant figures

Proportional, derivative

3

Cone and Cylinder
-Draw a picture
-Write knowns
-Make a ratio with _ and _ in terms of r
-Write formula
-Take _
-Solve
-Units
-Three significant figures

h, r, derivative