Integrate both sides with respect to <em>t</em> :
∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>
<em>y(t)</em> = -4<em>t</em> ³ + <em>C</em>
Use the initial condition to solve for <em>C</em> :
5 = -4•0³+ <em>C</em>
<em>C</em> = 5
So
<em>y(t)</em> = -4<em>t</em> ³ + 5
and the answer is D.
Alternatively, you can directly apply the fundamental theorem of calculus:



Answer:
1/12
Step-by-step explanation:
When you are doing probability with multiple things at once you have to multiply the probabilities of each asked number from each object together to get the probability of them both landing on those numbers
If C is the MIDPOINT of BD, and BD equals 12, then what does CD equal?
AD = AC+CD, so you only need to find length of CD and add length of AC (which you already have) to it.
Hope this helps
This can be written as:

"No greater than" does not necessarily mean less than, but it just means it cannot go over. So equal to or less than.
"The difference of a number and 2" can be represented as "n - 2"
If you were to solve this inequality, you would end up getting:

or

Hope this helps! :)