Related Rates (Section 3.7)

Related Rates (Section 3.7) - 3. Identify the rate that you...

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Related Rates Section 3.7 To Solve Related Rates: 1. If applicable, draw a picture. 2. Identify the variables and rates that you know. 3. Determine the rate that you are looking for. 4. Find a Primary Equation that relates the variable(s) that you know with the variable whose rate you’re solving for. a. If Primary Equation has more than two variables, use Secondary Equation to eliminate one of your variables. 5. Differentiate both sides of your Primary Equation ( with respect to time, t) and then solve for the rate you’re looking for. a. You may need to use the Secondary Equation to solve for missing values. Example: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when the base is 7 feet from the wall? 1. Draw a Picture of the problem: 2. Identify the variables that you know; identify the rates that you know:
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Unformatted text preview: 3. Identify the rate that you are looking for: 4. Determine the Primary Equation (if necessary, use a Secondary Equation to eliminate extra variables): 5. Differentiate both sides of your Primary Equation with respect to time and solve for the rate youre looking for: Example: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 7 feet from the wall. 1. Draw a Picture of the problem: 2. Identify the variables that you know; identify the rates that you know: 3. Identify the rate that you are looking for: 4. Determine the Primary Equation (if necessary, use a Secondary Equation to eliminate extra variables): 5. Differentiate both sides of your Primary Equation with respect to time and solve for the rate youre looking for:...
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This note was uploaded on 06/21/2011 for the course MTH 150 taught by Professor Marioborha during the Summer '11 term at Moraine Valley Community College.

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Related Rates (Section 3.7) - 3. Identify the rate that you...

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