Find an equation of the curve?

Science & Mathematics by Anonymous 2018-07-18 03:06:42

Social Science

5 answers

Anonymous

Rule y' = ax^m --->y = (a/(m+1))x^(m+1) + C , C is constant
Anonymous

f' = 7x^2+5x -6 Integrate it. You get f= 7/3 x^3 +5/2 x^2 -6x+c To find c, use the condition f=1 when x=0. Therefore f= 7/3 x^3 +5/2 x^2 - 6x +1 is the equation of the curve.
Anonymous

f'(x) = 7*(x^2) + 5x - 6; f(x) = (7/3)(x^3) + (5/2)(x^2) - 6x + C; f(0) = 1; 1 = C; f(x) = (7/3)(x^3) + (5/2)(x^2) - 6x + 1
Anonymous

No
Anonymous

Yep, that's a pretty basic kind of question in this class. Fail.