Answer:
The first one
Step-by-step explanation:
In this question, we are trying to find X, so can solve this by back-solving. multiply the choices by the A until they equal B. If you do it for the first one then you should gett B.
As the value of X increases, the value of y would decrease, due to this relationship being an inverse variation. ... An inverse variation would be similar to a linear relationship because in both, values can increase, as others decrease, and it would pretty much be it, because there aren't much similarities between them.
ANSWER
The particular solution is:
![y=2-2 \cos(x)](https://tex.z-dn.net/?f=y%3D2-2%20%5Ccos%28x%29)
EXPLANATION
The given Ordinary Differential Equation is
![y'=2 \sin(x)](https://tex.z-dn.net/?f=y%27%3D2%20%5Csin%28x%29)
The general solution to this Differential equation is:
![y=C-2 \cos(x)](https://tex.z-dn.net/?f=y%3DC-2%20%5Ccos%28x%29)
To find the particular solution, we need to apply the initial conditions (ICs)
![y( \frac{\pi}{3} ) = 1](https://tex.z-dn.net/?f=y%28%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20%29%20%3D%201)
This implies that;
![C-2 \cos( \frac{\pi}{3} ) = 1](https://tex.z-dn.net/?f=C-2%20%5Ccos%28%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20%29%20%3D%201)
![C-2( \frac{1}{2} )= 1](https://tex.z-dn.net/?f=C-2%28%20%5Cfrac%7B1%7D%7B2%7D%20%29%3D%201)
![C-1= 1](https://tex.z-dn.net/?f=C-1%3D%201)
![C= 1 + 1 = 2](https://tex.z-dn.net/?f=C%3D%201%20%2B%201%20%3D%202)
Hence the particular solution is
![y=2-2 \cos(x)](https://tex.z-dn.net/?f=y%3D2-2%20%5Ccos%28x%29)
Answer:
![arc\ DC=30^o](https://tex.z-dn.net/?f=arc%5C%20DC%3D30%5Eo)
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
The point P is the center of the circle (the drawing is not a scale )
step 1
Find the measure of angle ∠CPD
we know that
---> by supplementary angles (form a linear pair)
![m\angle CPD=180^o-150^o=30^o](https://tex.z-dn.net/?f=m%5Cangle%20CPD%3D180%5Eo-150%5Eo%3D30%5Eo)
step 2
Find the measure of arc DC
we know that
<u><em>Central angle</em></u> is the angle that has its vertex in the center of the circumference and the sides are radii of it
so
----> by central angle
therefore
![arc\ DC=30^o](https://tex.z-dn.net/?f=arc%5C%20DC%3D30%5Eo)
Hi There!
<span>t < –5 and t may be a negative number!</span>