The correct structure of the question is as follows:
The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.
Answer:
Step-by-step explanation:
Given that:
f(x) = x^3
Then;
V = x^3
The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V
dV/dx = 3x^2
Now, at the moment when x = 3;
dV/dx = 3(3)^2
dV/dx = 3(9)
dV/dx = 27 cubic inch per inch
Suppose it is at the moment when x = 9
Then;
dV/dx = 3(9)^2
dV/dx = 3(81)
dV/dx = 243 cubic inch per inch
10,000,000 + 2,000,000 + 400,000 + 30,000
The length is 24 centimeters and the width is 10 centimeters and the height is 13 centimeters
Answer:
I don’t know
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that
If two lines are parallel then their slopes are equal
The equation of the given line is
the slope is 
so
the slope of the parallel line to the given line is also
Find the equation of the line that is parallel to the given line and passes through the point (6, 5)
we have
The equation of the line in point slope form is
substitute
Convert to slope intercept form
isolate the variable y
