Calc help, find equation of y.?

2017-08-27 11:30 pm

回答 (1)

2017-08-27 11:37 pm
dy/dx = 2(x - 1)
dy = 2(x - 1) dx
∫dy = ∫2(x - 1) d(x - 1)
y = (x - 1)² + C …… [1]

(1, 0) lies on the curve.
Substitute x = 1 and y = 0 into [1] :
0 = (1 - 1)² + C
C = 0

The equation is :
y = (x - 1)²


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