Answer:
Now if we increase the radius by a factor of 2 the new volume would be:
And we can find the increase factor for the volume like this:
Then if we increase the radius by 2 the volume increase by a factor of 4
If we reduce the radius by a factor of 2 then we will have that the volume would be reduced by a factor of 4.
On the figure attached we have an illustration for the cases analyzed we see that when we increase the radius the volume increase and in the other case decrease.
Step-by-step explanation:
For this case we have the following info given:
and we can find the initial volume:
And replacing we got:
Now if we increase the radius by a factor of 2 the new volume would be:
And we can find the increase factor for the volume like this:
Then if we increase the radius by 2 the volume increase by a factor of 4
If we reduce the radius by a factor of 2 then we will have that the volume would be reduced by a factor of 4.
On the figure attached we have an illustration for the cases analyzed we see that when we increase the radius the volume increase and in the other case decrease.
Answer:
Step-by-step explanation:
To find the changes in the slope of the function s(t) we find its derivative
Now we make
The particle changes direction for the first time at t = 2 sec
The position at t = 2 sec is:
The acceleration after t = 2 sec is the second derivative of s(t), evaluated at t = 2:
Answer:
0.254
Step-by-step explanation:
Table A-6 will be shown below for reference. Since none of the answer choices contain the critical value for 61, we can just round that number to 60. We will see that the critical value is 0.254. If you're having trouble reading the table below, look at the columns to find the corresponding significance level you are working with then find the sample value.
Best of Luck!
Answer: 2⁴ * 5
<u>Step-by-step explanation:</u>
80
∧
8 10
∧ ∧
4 2 2 5
∧
2 2
80: 2 x 2 x 2 x 2 x 5