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OverLord2011 [107]
3 years ago
8

Find

Mathematics
1 answer:
Westkost [7]3 years ago
8 0

Answer:

dy/dx = -b/a cot α

Step-by-step explanation:

x² / a² + y² / b² = 1

Take derivative with respect to x.

2x / a² + 2y / b² dy/dx = 0

2y / b² dy/dx = -2x / a²

dy/dx = -b²x / (a²y)

Substitute:

dy/dx = -b²a cos α / (a²b sin α)

dy/dx = -b cos α / (a sin α)

dy/dx = -b/a cot α

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Step-by-step explanation:

Given

Represent the rate of the first mechanic with x and the second with y.

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Required

Determine the rate of each

The equations are:

x + y = 160 --- (1)

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Subtract (1) from (3)

x - x + 3y - y = 370 - 160

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Make x the subject

x = 160 - y

Substitute 105 for y

x = 160 - 105

x = 55

Hence:

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Mechanic 2: $105 per hour

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