find an equation of the curve that satisfies the given conditions
At each point (x,y) on the curve the slope is 2x+1; the curve passes through the point (-3,0)
dy/dx = 2x+1
Integrate the function listed above and substitude the coordinates (-3,0) into the result. You will be able to find the equation of the curve. Hope it helps.
dy/dx = 2x+1
y = x^2 + x + c ( after integration )
0 = (-3)^2 + (-3) + c ( now substitute x = -3 and y=0 to find c )
c = 6 should be -6
therefore the equation is, y = x^2 + x - 6 (ans)
Last edited by tester85; Nov 11th 2008 at 07:11 PM.
It is common to make careless mistakes in mathematics that's the reason we have to double check the equations again to prevent any careless mistakes from happening.