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:
b. y=2x-200
c. there will be no profit because 2 times 100 = 200, meaning they only earned back the money they already spent.
d. (domain or y-values) minimum: -200 maximum: 320
(range or x-values) maximum: 260
Same for me it won’t let me pick a certain topic
Answer: Varies
Step-by-step explanation:
There would still be some Xs and Ys.
The weight of a plane with 81 gallons of fuel in the tank is about 44 tons