Answer:
Step-by-step explanation:
Let's start with the equation of the volume of a cylinder:
Where:
- r is the radius of the cylinder (r=D/2=24/2=12 cm)
- h is the high of the cylinder (h = 60 cm)
We can us partial derivatives to find the differential of this volume. So we will have:
(1)
Now:
dr is a differential of the radius, so in our case it is 0.1 cm and dh, differential of the high, is 0.1*2 cm. We multiply by 2 because we need to consider the top and the bottom of the cylinder.
Now we just need to put all of this definitions in the equation (1).
I hope it helps you!
Answer:
-5
Step-by-step explanation:
<u>Slope- intercept form:</u>
y= mx +c, where m is the slope and c is the y-intercept
Since the given equation is already in the slope-intercept form, we can identify its slope by looking at the coefficient of the x term. Here the coefficient is -5, thus the slope of the given line is also -5.
Parallel lines have the same slope. Thus, the slope of the line that is parallel to y= -5x +7 will have a slope of -5.
Answer:
5x +6y -90 = 0
Step-by-step explanation:
The perpendicular line will have the x- and y-coefficients swapped, and one of them negated. The constant will be chosen so the equation is satisfied at the given point.
5x +6y = 5(6) +6(10) = 90
The equation of the perpendicular line in general form is ...
5x +6y -90 = 0
Answer:
d. -11+7
Step-by-step explanation:
two negatives make a positive.
i hope this helps :)
The average rate of change of a function f(x) over an interval (a, b) is given by
Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression
