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Alja [10]
3 years ago
11

The elevation of city A is 72 feet above sea level; the elevation of City C is 24 feet above sea level. The elevation of city D

is 1/4 of the elevation of city C. Write an expression to represent the elevation , in feet of city D Simplify the expression and why the answer is negative or positive.
Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0

Answer:

<h2> D=C/4</h2>

Step-by-step explanation:

Given that elevation of the cities are

A=72 feet

C=24 feet

D=1/4 of C

The expression for the elevation of city D is

D=C/4

substituting C=24 in the expression we have

D=24/4

D=6

The answer is positive because the elevation is above sea level

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Find an equation of the tangent plane to the surface z=ln(x-6y) at the point(7,1,0)
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The tangent plane equation of tangent plane is

z = x - 6y -1

This is further explained below.

What is the equation of the tangent plane to the surface z=ln(x-6y) at the point(7,1,0)?

Generally, Given surface is z = ln(x − 6y) ,

Given point is (x_0, y_0 , z_0) = (7, 1, 0)

partially differentiating with respect to x

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zx (7 , 1 , 0) = 1/(7 - 6(1)) = 1

Partially differentiating with respect to y

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zy = -6/(x - 6y)

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Equation of tangent plane is z - z_0 = zx(x -x_0) + zy(y - y_0)

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In conclusion, equation of tangent plane is z = x - 6y -1

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