2 years ago

A fraction thar has a variable or variable expression in its numerator it's denominator or both

Mathematics

2 answers:

Nikolay [14]2 years ago

6 0

IT is a rational expresstion

MrMuchimi2 years ago

5 0

Ya it's a Rational Expression.

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Answer:

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Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P $(x_0,y_0,z_0)$ is

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

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

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

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So, the tangent equation is

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

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