Calculus Problem Solving

A detailed Summary of Calculus Problem Solving

Calculus can be used to solve many problems. Probably the most important is solving real-life problems or situations. An example of this type of problem is a related rates problem. A related rates problem is a problem which involves at least two changing quantities and asks you to figure out the rate at which one is changing given sufficient information on all of the others. There are several key steps in setting up and solving related rates problems. Some important and helpful things to do are as follows:

1. Draw a picture or make a model of the situation.

2. Label all quantities which can change as variables.

3. Identify in terms of the variables and their derivatives what is being asked and what is given.

4. Use the picture or model to write down a relation among the variables using an equation or something else which relates them.

5. Using the Chain Rule, implicitly differentiate both sides o

So at the instant in question, the distance between the vehicles is increasing at approximately 79.23 miles per hour.

f the equation with respect to time t.

This is just one type of problem that calculus is useful for solving. There are many other real life situations out there that depend on calculus to find the answer. Calculus is both a unique and definitely difficult way to solve problems.

2 (5) (50) + 2 (12) (65) = 2 (13) ds/dt.

Some common words found in the essay are:
Chain Rule, Pythagorean Theorem, , pythagorean theorem, = s2, related rates, y2 = s2, x2 + y2, pythagorean theorem x2, distance vehicles increasing, distance vehicles, 12 miles, 65 mph, + y2 =, model situation, mph instant, vehicles increasing, rate distance,

Approximate Word count = 615
Approximate Pages = 2 (250 words per page double spaced)

Category: Miscellaneous

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Calculus Problem Solving

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