The third option is the answer.
Explanation:
Use law of sines since we are given two angles and two sides, you can do this...
b=a•sin(B)/sin(A) = 4.01444
c=a•sin(C)/sin(A) = 14.57419
Final Answer: x is about 4.0, y is about 14.6
Refer to the diagram shown below.
In spherical coordinates,
r² = x² + y² + z²
x = r sinφ cos θ
y = r sinφ sin θ
z = r cosφ
The element of volume is
dV = r² sinφ dr dθ dφ
Therefore, for the sphere with radius = 3,
![\int (x^{2}+y^{2}+z^{2})^{2} dV = \int_{0}^{ \pi } d\phi \int_{0}^{2 \pi }d\theta \int_{0}^{3} (r^{4})r^{2} sin\phi \,dr](https://tex.z-dn.net/?f=%5Cint%20%28x%5E%7B2%7D%2By%5E%7B2%7D%2Bz%5E%7B2%7D%29%5E%7B2%7D%20dV%20%3D%20%5Cint_%7B0%7D%5E%7B%20%5Cpi%20%7D%20d%5Cphi%20%5Cint_%7B0%7D%5E%7B2%20%5Cpi%20%7Dd%5Ctheta%20%5Cint_%7B0%7D%5E%7B3%7D%20%28r%5E%7B4%7D%29r%5E%7B2%7D%20sin%5Cphi%20%20%5C%2Cdr%20)
The integration yields
![2 \pi \int_{0}^{ \pi } sin \phi \, d\phi \, [ \frac{r^{7}}{7} ]_{0}^{3} = 2 \pi [-cos\phi]_{0 }^{ \pi } (312.429) = 2 \pi (2)(312.429) = 1250 \pi](https://tex.z-dn.net/?f=2%20%5Cpi%20%20%5Cint_%7B0%7D%5E%7B%20%5Cpi%20%7D%20sin%20%5Cphi%20%5C%2C%20d%5Cphi%20%5C%2C%20%20%5B%20%5Cfrac%7Br%5E%7B7%7D%7D%7B7%7D%20%5D_%7B0%7D%5E%7B3%7D%20%3D%202%20%5Cpi%20%5B-cos%5Cphi%5D_%7B0%20%7D%5E%7B%20%5Cpi%20%7D%20%28312.429%29%20%3D%202%20%5Cpi%20%282%29%28312.429%29%20%3D%201250%20%5Cpi%20)
Answer: 1250π
Answer:
C. all real numbers
Step-by-step explanation:
D(y) = {x / x € R }
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The 2 is in the x place.
Let's substitute 2 for x in our equation.
2(2)-5y=11
Now, we can solve for y. (the other coordinate)
4-5y=11
Subtract 4 from each side.
-5y=7
Divide by -5.
y = -7/5 or -1 2/5 or -1.4
Answer: did you get the answer??????
Step-by-step explanation: