Activity E Direction: Using kas the constant of variation, write the equation of variation for each of the 1. The current I varies directly as the electromotive force E and inversely as the resistance R 2. The acceleration a of an object varies directly as the force fexerted and inversely as its mass m. 3. The stiffnesss of a beam varies directly as its depth d and inversely as the square of the length/ SOLVING PROBLEMS INVOLVING COMBINED VARIATION Example: The number of days d needed to paint the wall varies directly as the width of the wall w and inversely as the number of people n painting on it t takes 6 days for 3 persons to paint the 9- meter width of the wall How many days will T uke 4 persons to paint the 18-meter width of the wall? a. Translate: b. Determine the Constant k of variation: C. Write the equation of variation: d Equation of Variation d. Solve: d= 9 Anpwer Therefore, it will take 9 days for 4 persons to paint the 18-meter width of the wall

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Activity E Direction: Using kas the constant of variation, write the equation of variation for each of the following
1. The current I varies directly as the electromotive force E and inversely as the resistance R
2. The acceleration a of an object varies directly as the force fexerted and inversely as its mass m.
3. The stiffnesssof a beam varies directly as its depth d and inversely as the square of the length /
SOLVING PROBLEMS INVOLVING COMBINED VARIATION
Example: The number of days d needed to paint the wall varies directly as the width of the wall w and inversely as the
number of people n painting on it. t takes 6 days for 3 persons to paint the 9- meter width of the wall, How many days will
T uke 4 persons to paint the 18-meter width of the wall?
AM
a. Transfate: d =
b. Determine the Constant k of variation: k
C. Write the equation of variation: d =
d =
Equation of Variation
2(18)
d. Solve:
d= 9
e Anpwer Therefore, it will take 9 days for 4 persons to paint the 18-meter width of the wall
Transcribed Image Text:Activity E Direction: Using kas the constant of variation, write the equation of variation for each of the following 1. The current I varies directly as the electromotive force E and inversely as the resistance R 2. The acceleration a of an object varies directly as the force fexerted and inversely as its mass m. 3. The stiffnesssof a beam varies directly as its depth d and inversely as the square of the length / SOLVING PROBLEMS INVOLVING COMBINED VARIATION Example: The number of days d needed to paint the wall varies directly as the width of the wall w and inversely as the number of people n painting on it. t takes 6 days for 3 persons to paint the 9- meter width of the wall, How many days will T uke 4 persons to paint the 18-meter width of the wall? AM a. Transfate: d = b. Determine the Constant k of variation: k C. Write the equation of variation: d = d = Equation of Variation 2(18) d. Solve: d= 9 e Anpwer Therefore, it will take 9 days for 4 persons to paint the 18-meter width of the wall
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