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3 years ago

5

a carpenter estimates that it will take one person 54 hours to complete a job he plans to have three people work on the job for

two days how many hours each day will the workers need to work to complete the job

1 answer:

strojnjashka [21]3 years ago

5 0

2 days = 54/2 = 27 hours a day
Your welcome

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Data provided according to the question is as follows

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Now the equation for the tangent plane to the surface

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$z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\$

Now the partial derivatives of f are

$f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}$

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$f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}$

= -8

So, the tangent equation is

$z - 0 = 1\times (x - 9) -8\times (y - 1)$

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