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Calculus Level 4

f(x)=21+4xx210+3xx2\large f\left( x \right) =\sqrt { 21+4x-{ x }^{ 2 } } -\sqrt { 10+3x-{ x }^{ 2 } }

If the maximum value of the function given above occurs at x=x0x={ x }_{ 0 } and the maximum value is y0{y }_{ 0 }, find x0+y0{ x }_{ 0 }+{ y }_{ 0 }.


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