Answer:
rotation
Step-by-step explanation:
because the earth rotates
So, in order to solve this problem, I will set up an equation. First, let's make x= the # of hours it takes Mr. Itol to complete a computer task, and since his assistant takes twice as long, lets make 2x=the # of hours it takes the assistant to complete the task. We also know that it takes the two of them 6 hours to complete the task together. We can now set up the following equation:
![\frac{1}{2x} + \frac{1}{x} = \frac{1}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2x%7D%20%2B%20%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%20%5Cfrac%7B1%7D%7B6%7D%20)
Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes:
![\frac{3}{6x} + \frac{6}{6x} = \frac{x}{6x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B6x%7D%20%2B%20%20%5Cfrac%7B6%7D%7B6x%7D%20%3D%20%20%5Cfrac%7Bx%7D%7B6x%7D%20)
Now, we can get rid of the denominators, and we get:
![3+6=x](https://tex.z-dn.net/?f=3%2B6%3Dx)
So, x= 9
Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:
![2(9)=18](https://tex.z-dn.net/?f=2%289%29%3D18)
Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.
Hope this helps :)
Answer:
B
Step-by-step explanation:
As x tends to infinity and - infinity, the function will tend to +infinity for both
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
_____
You can work out the integral for area as a function of t. When you do, you will find it gives this same result.