Answer: 
Step-by-step explanation:
Given
The diameter of a circle is 
So, the radius is 
The circumference is given by 
Insert the values

Thus, the circumference of the circle is
It is given in the question that
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by

And the edge length of the base is 12 cm, the edge length of the base is decreasing at a rate of 2 cm/min, the height of the box is 6 cm, and the height is increasing at a rate of 1 cm/min.
Here we differentiate V with respect to t, and we use product rule, that is

Substituting the given values , we will get
[/tex]

So at that moment, the volume is decreasing at the rate of

It would take Natalie 6 hours by herself since she will finish in twice the time if she had Caesar to help.
Answer:Answer: 5 - i/2
Step-by-step explanation:
Complex numbers on the complex plane are in essense the same, when it comes to midpoints. Applying the midpoint formula, we get the midpoint as ( 3+2i + 7-3i ) /2 , or (10-i)/2, or 5- i/2