1) The curve with equation y=f(x) passes through the point (3,-1) and f '(x)=2x+5. find f(x).

2) find s in terms of t, if ds/dt=t+3-1/t^2 and s=6 and t=1.

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- Sep 7th 2010, 02:49 AMjohnsy123Calculus test questions
1) The curve with equation y=f(x) passes through the point (3,-1) and f '(x)=2x+5. find f(x).

2) find s in terms of t, if ds/dt=t+3-1/t^2 and s=6 and t=1. - Sep 7th 2010, 02:53 AMProve It
1)

.

You know that the point lies on the curve, so substitute it in and solve for .

2)

.

Now substitute and to find .