Answer:
x=2/3
Step-by-step explanation:
Most of that information is unnecessary. Just plug in the values of f(x) and g(x) into the equation where they are equal to each other and solve.
-3x+4=2
-3x=-2
3x=2
x=2/3
What do you mean by the question?
Answer:
Step-by-step explanation:
from the equation, .
we can give different approach to the equation, but to make it simple and direct, let separate the equation by bringing all like terms to the same side i.e
.
if we integrate both side,
since the equation passes through the origin, and at the origin z=0 and t=0
we substitute this values and solve for the constant c
.
If we substitute the value of c into the equation we arrive at
if we the the natural logarithm of both sides, we arrive at
Answer:
6 + 6t
Step-by-step explanation:
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: