Answer:
Step-by-step explanation:
![f(x)=\frac{u}{v} ,u~ and~ v~ functions~ of~ x\\f'(x)=\frac{v ~u'-u~v' }{v^2} \\f(x)=\frac{x^4}{x^2-4} \\f'(x)=\frac{(x^2-4)*4x^3-x^4(2x)}{(x^2-4)^2} \\=\frac{2x^3(2x^2-8-x^2) }{(x^2-4)^2} \\=\frac{2x^3(x^2-8)}{(x^2-4)^2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7Bu%7D%7Bv%7D%20%2Cu~%20and~%20v~%20functions~%20of~%20x%5C%5Cf%27%28x%29%3D%5Cfrac%7Bv%20~u%27-u~v%27%20%7D%7Bv%5E2%7D%20%5C%5Cf%28x%29%3D%5Cfrac%7Bx%5E4%7D%7Bx%5E2-4%7D%20%5C%5Cf%27%28x%29%3D%5Cfrac%7B%28x%5E2-4%29%2A4x%5E3-x%5E4%282x%29%7D%7B%28x%5E2-4%29%5E2%7D%20%5C%5C%3D%5Cfrac%7B2x%5E3%282x%5E2-8-x%5E2%29%20%7D%7B%28x%5E2-4%29%5E2%7D%20%5C%5C%3D%5Cfrac%7B2x%5E3%28x%5E2-8%29%7D%7B%28x%5E2-4%29%5E2%7D)
Answer: a. Radius of circle = ![\sqrt{85}](https://tex.z-dn.net/?f=%5Csqrt%7B85%7D)
b. The equation of this circle :
Step-by-step explanation:
Given : Center of the circle = (3,10)
Circle is passing through (12,12).
a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)
Radius of circle = ![\sqrt{(12-3)^2+(12-10)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%2812-3%29%5E2%2B%2812-10%29%5E2%7D)
Radius of circle = ![\sqrt{(9)^2+(2)^2}=\sqrt{81+4}=\sqrt{85}](https://tex.z-dn.net/?f=%5Csqrt%7B%289%29%5E2%2B%282%29%5E2%7D%3D%5Csqrt%7B81%2B4%7D%3D%5Csqrt%7B85%7D)
i.e. Radius of circle = ![\sqrt{85}](https://tex.z-dn.net/?f=%5Csqrt%7B85%7D)
b. Equation of a circle =
, where (h,k)=Center and r=radius of the circle.
Put the values of (h,k)= (3,10) and r=
, we get
∴ The equation of this circle :
Answer:
D. is correct!
Step-by-step explanation:
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^ just an example
brainliest?
Answer:
They would be -104 and -103.
Step-by-step explanation:
-103 + (-104)
= -103 - 104
= -207.
Answer:
x=2
Step-by-step explanation: