The idea is to used the derived formula to solve the next problem, which is find a scalar potential function phi(r) such that the line integral F(B,A) (as in 4.02) = phi(B)-phi(A). So it's clear I need to solve this in terms of B and A.
Homework Statement
Homework Equations
Given above.
The Attempt at a Solution
I attempted this problem first without looking at the hint.
I've defined F(r) as (B+A)/2 + t(B-A)/2, with dr as (B-A)/2 dt . Thus F(r)dr = ((B+A)/2)*((B-A)/2)+((B-A)/2)^2 dt
When I integrate this from -1 to 1 I...
You know that \frac{dy}{dt} is equal to \frac{dy}{dx}*\frac{dx}{dt}
You know \frac{dx}{dt} is 3. So all that's left to do is solve for \frac{dy}{dx}
By the pythagorean theorem, a^2+b^2=c^2. In this case, on the y-axis you have your a, on the x-axis you have your b and the hypotenuse you...