a=0 since the origins coordinates are (0,0)
I am beginning to study for my Calc 1 final by doing all of the old finals that are up on the math dept. page.
One question is:
If the line tangent to the graph of f (x) = x3 + 1 at the point (a, f (a)) passes
through the origin, then a is:
How am I to go about doing this? In all the practice I have done, and all the questions that have shown on my exam, a was given when it asked for a tangent line passing through a point (a,f(a)). So I don't know how to find a........
Nah, I don't think it's 0. I believe it is D.
If the line tangent to is in the form , we know since it passes through the origin. So all we know is the slope of this line, . So the equation of our tangent line is:
. We wish to find when this intersects the original function. So we equate them.
So choice D it is.