(a) If C is the line segment connecting the point (x 1 , y 1 ) to...

Question:

(a) If C is the line segment connecting the point (x1, y1) to the point (x2, y2), show that

C x dy − y dx = x1y2 − x2y1

(b) If the vertices of a polygon, in counterclockwise order, are (x1, y1), (x2, y2), . . . , (xn , yn), show that the area of the polygon is

(c) Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2), and (−1, 1).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

Question Posted: