Related Rate FUN AP Calculus Mrs Mongold First
- Slides: 10
Related Rate FUN AP Calculus Mrs. Mongold
First, a review problem: Consider a sphere of radius 10 cm. If the radius changes 0. 1 cm (a very small amount) how much does the volume change? The volume would change by approximately .
Now, suppose that the radius is changing at an instantaneous rate of 0. 1 cm/sec. (Possible if the sphere is a soap bubble or a balloon. ) The sphere is growing at a rate of . Note: This is an exact answer, not an approximation like we got with the differential problems.
Water is draining from a cylindrical tank at 3 liters/second. How fast is the surface dropping? Find (We need a formula to relate V and h. ) (r is a constant. )
Steps for Related Rates Problems: 1. Draw a picture (sketch). 2. Write down known information. 3. Write down what you are looking for. 4. Write an equation to relate the variables. 5. Differentiate both sides with respect to t. 6. Evaluate.
Hot Air Balloon Problem: Given: How fast is the balloon rising? Find
Hot Air Balloon Problem: Given: How fast is the balloon rising? Find
Truck Problem: Truck A travels east at 40 mi/hr. Truck B travels north at 30 mi/hr. How fast is the distance between the trucks changing 6 minutes later? B A
Truck Problem: Truck A travels east at 40 mi/hr. Truck B travels north at 30 mi/hr. How fast is the distance between the trucks changing 6 minutes later? B A p
Homework Calendar Assignment
- Characteristics of margie
- They are mrs garcia and mrs castro
- They are mrs garcia and mrs castro
- Mrs. darling was ___________ of mrs. s.
- Which are the two types of physical fitness
- Health related fitness and skill related fitness
- Average rate of change integrals
- 1st fundamental theorem of calculus
- Second fundamental theorm of calculus
- First related the symmetrical magnetic patterns
- Cap rate interest rate relationship