First find the slope, take derivative of both sides with respect to x.
2y dy/dx=3x^2+6x
solve for dy/dx
dy/dx=[3x^2+6x]/2y
plug in given vales of (1,2(
dy/dx=9/4
now you have everything you need to plug into point slope form
y-2=(9/4)(x-1)
answer is y=(9/4)x+(1/4)
Integrating both sides, we get
When
, we have
, so that
When
, we have
, which means
It is a horizontal line, therefore y=1
Answer:
The graph y = 18x2 + mx + 2= 12
So the answer is 12