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Crazy boy [7]
3 years ago
15

Determine the solution and the reasoning that justifies the solution to the systems of equations.

Mathematics
1 answer:
Lena [83]3 years ago
8 0

Answer:

<u>Option 2</u>

(2,8), because the graph of the two equations intersects at this point

Step-by-step explanation:

Just looking at the graph, you can tell that the point (2,8) is where the two lines intersect.

Hope this helped! :)

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Can anyone help me with this ?​
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f(x)=\dfrac{x^2}{x^2+k^2}

By definition of the derivative,

f'(x)=\displaystyle\lim_{h\to0}\frac{\frac{(x+h)^2}{(x+h)^2+k^2}-\frac{x^2}{x^2+k^2}}h

f'(x)=\displaystyle\lim_{h\to0}\frac{(x+h)^2(x^2+k^2)-x^2((x+h)^2+k^2)}{h(x^2+k^2)((x+h)^2+k^2)}

f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{(x+h)^2-x^2}{h((x+h)^2+k^2)}

f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{2xh+h^2}{h((x+h)^2+k^2)}

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f'(x)=\dfrac{2xk^2}{(x^2+k^2)^2}

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