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3 years ago

ASAP!! HEEELPPPP!!

Mathematics

1 answer:

alekssr [168]3 years ago

8 0

I believe the answer is B

Hope This Helps! Good Luck!!

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Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)

Archy [21]

Answer:

x - 8y - z = 1

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

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

Now the partial derivatives of f are

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

$\\\\=\frac{1}{9-8}$

= 1

Now

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

= -8

So, the tangent equation is

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

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

4 0

3 years ago

A stack of magazines is 4 2/5 inches high. The stack needs to fit into a box that is 2 1/8 inches high. How many inches too high

iren [92.7K]

Answer: Equation: 4 $\frac{2}{5}$ -2 $\frac{1}{8}$ ; estimate: a

little more than 2 inches; answer: 2 $\frac{11}{40}$

inches.

Step-by-step explanation:

6 0

3 years ago

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Please help me Please, I beg you.

IgorLugansk [536]

Answer:

a reflection followed by a translation

Step-by-step explanation:

4 0

3 years ago

I don’t understand. and someone please help?

givi [52]

Solution:

Note that:

6x + 26 = 92 (Vertically opposite angle)
92 + 92 + z + z = 360

Finding x.

6x + 26 = 92
=> 6x = 92 - 26
=> 6x = 66
=> x = 11

Finding z.

92 + 92 + z + z = 360
=> 184 + 2z = 360
=> 2z = 360 - 184
=> 2z = 176
=> z = 176/2 = 88

3 0

2 years ago

one leg of a right triangle has length 7. the lengths of the other two sides are whole numbers. the length of the other leg is ?

zalisa [80]

Sets of three integers that could be right triangles are called pythagorean triples. the only pythagorean triple including 7 is 7, 24, and 25. so the length of the other leg is 24 and the length of the hypotenuse is 25. hope this helped!

4 0

3 years ago

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