Answer to Question #332694 in Calculus for yeni

Question #332694

Find the equation of the curve having y’ = 2x – 5 that passes through (5,4). 


1
Expert's answer
2022-04-25T17:48:25-0400

Let us find the equation of the curve having y=2x5y' = 2x – 5 that passes through (5,4).(5,4). It follows that y=x25x+C,y=x^2-5x+C, and hence 4=5252+C=C.4=5^2-5^2+C=C. We conclude that the equation of the curve is y=x25x+4.y=x^2-5x+4.


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