I think I got it.
I found the slope of the tangent line at x=0 to be 8.
After that, I constructed a vector from point (0,2) to next point on tangent line (1,10).
That vector is V = <1,8> which satisfies the first part of the problem.
For the second part, I built the equation of the...
Well, the general equations would be y=mx+b
However, at this point in the class, we are only using parametrics for lines.
In other words, the only lines we have built so far (involving vectors) have been in this format:
x = a + bt
y = a + bt
etc...
Homework Statement
f (x) = e^(3x) + sin(2x) + 3x +1
(a) Find a vector V that is tangent to the graph of y = f(x) at the point ( 0, 2).
(b) Find a vector N that is perpendicular to the graph of y = f(x) at the point ( 0, 2).
2. The attempt at a solution
The first step I took is to...
Thanks for the hint, I had not realized that the truck had no acceleration.
What I did now is I found how much time is needed for the truck to pass the bridge. I used the displacement formula:
X=X0+V0t+(1/2)*a*t^2
I substituted what I knew:
12=0+55t+(1/2)*0*t^2
t=0.27
I am...
Homework Statement
A person standing on a bridge overlooking a highway inadvertently drops an apple over the railing just as the front end of a truck passes directly below the railing. If the vehicle is moving at 55km/h and is 12m long, how far above the truck must the railing be if the...