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  • Find the length of the curve y=x^3/2 from (1,1) to (2,2√2)

Find the length of the curve y=x^3/2 from (1,1) to (2,2√2)

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(2,2\sqrt{2}) $ is on curve y=x^{3/2} $ \\ $ Distance from (1,1) to (2,2\sqrt{2}) $ \\ = \sqrt{(2-1)^2 + (2\sqrt{2}-1)^2}\\ = \sqrt{1 + 8 + 1 -4\sqrt{2}}\\ =\sqrt{10 - 4 \sqrt{2}}

Posted by

Ravindra Pindel

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