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:
4x^2 = 100
x^2 = 25
x = + or - 5
x = 5 or x = -5
Hope this helps.
Answer:
BC ≈ 14.7 m
Step-by-step explanation:
Using the Sine rule in Δ ABC
= 
To find ∠ A subtract the 2 given angles from 180°
∠ A = 180° - (90 + 28)° = 180° - 118° = 62°
Then
= 
( cross- multiply )
BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )
BC = 
≈ 14.7 m ( to 3 significant figures )
In the middle/Alike: 3,1,8,2,4
Outside for 318,274: Doesnt have 5
Outside for 138,524: Doesnt have 7
