Past exam of the mathematics course of the University of Oxford / Undated / Prelims / Mathematics III resit / 3 / b / i

Table of contents
- Solution i

Solution

A parametrization of the straight line segment is

r (t) = (t, t, t)

,

0 \leq t \leq 1

. Then

F (r (t)) = (t, t^{2}, t)

and

r^{'} (t) = (1, 1, 1)

. By the line integral formula,

\int_{C} F \cdot d r = \int_{0}^{1} (2 t + t^{2}) d t = \frac{4}{3} .

 Ancestors (12)

 Incoming links (1)

Past exam of the mathematics course of the University of Oxford / Undated / Prelims / Mathematics III resit / 3 / b / ii / Solution

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version