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 is
Now the partial derivatives of f are
= 1
Now
= -8
So, the tangent equation is
Now after solving this, the following equation arise
z = x - 9 - 8y + 8
z = x - 8y - 1
Therefore
x - 8y - z = 1
The best apporximation for the volume of this ball is 382 cubic inches.
<h3>What is the volume of the ball?</h3>
The volume of the ball is calculated by the formula V = 4 / 3πr³. This formula is the same in the whole world.
Given
A regulation basketball has a diameter of about 9 in.
The radius of the ball is;
The volume of the ball is;
Hence, the best apporximation for the volume of this ball is 382 cubic inches.
To know more about volume click the link given below.