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AP Calculus


Related Rates


Types of Problems:

related rates and implicit differentiation
  1. take the derivative of multi-variable geometry functions
  2. use of implicit differentiation

Homework

1-28-19

Solutions

1-28-19 solutions

Video and other resources


Section 5.6 Related Rates p255
​#1, 2, 3, 5, 6, 7, 9, 10, 11, 12
  1. geometric application circle area
  2. geometric application surface area of a cylinder
  3. geometric application volume of a cylinder
  4. geometric application length of interior diagonal of rectangular box
  5. geometric application SAS triangle area
  6. geometric application rectangle measurements
  7. geometric application rectangular box measurements
  8. geometric application sphere surface area
  9. geometric application sphere surface area
​
5.6 book assignment
5.6 solutions 1-20
diagonals of box app
diagonals of box app 2
diagonals of a box app 3
diagonals of a box app 4
Surface Area of box app
volume of a box app
surface area of cylinder app
​
surface area of a cylinder app 2
surface area of a cylinder app 3
volume of a cylinder app
cylinder within a sphere app
cylinder with constant volume
cone within a cylinder app
cylinder within a cone app
sphere within a cylinder app
round solids app
cone and cylinder app
cone and cylinder app 2
two cylinder volumes app
cylinder into a sphere app

Formative Assessment
Cone Related Rate Problem 2-5-19

FA related rate CONE
FA solutions CONE

Formative Assessment
Airplane and Cylinder
Related Rate Problems
​2-6-19

FA airplane and cylinder
fa solutions aIRPLANE CYLINDER

Formative Assessment Falling Ladder and Boat and Winch Problem 
​2-14-19 

2-14-19 Formative

Moving shadow related rate examples &
Formative Assessment
​2-15-19

FA 2-15-19
FA Solutions 2-15-19
Example 1 using difference
example 2 using sum

Formative Distance and Baseball Problem
2-20-19
FA 2-20-19
FA Solutions 2-20-19

Formative Assessment Non Geometric Models 2-21-19
FA 2-21-19
FA solutions 2-21-19


 3-1-19 Solutions to Related Rates Quiz

version number is determined by distance away from SECOND base given on baseball problem

Version 25

baseball v25
boat & winch v25
moving shadow v25
ladder v25
non geometric v25

Version 35

baseball 35
boat & winch v35
MOVING SHADOW V35
LADDER V35
NON GEOMETRIC V35

Version 50

baseball 50
boat & winch v50
MOVING SHADOW V50
LADDER V50
NON GEOMETRIC V50

Additional Resources



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