below math question part C (a) If C is the line segment connecting the point (x1, Y1) to the point (x2, y2), find the following.х dy — у dx(b) If the vertices of a polygon, in counterclockwise order, are (X1, Y1), (x2, Y2),(Xn, Yn), find the area of the polygon....A =(X1Y2 - X2V1) + (x2Y3 - X3y2) + · ..+ (Xn – 1Yn – XnYn – 1) + (XnY1 - X1Yn)A = (X1V2 – X2V1) + (×2V3 – X3Y2) ++ (xn - 1Ул — ХnYn - 1) + (xnУ1 - X1Уп)A(x2V1 – X1Y2) + (X3Y2 – X2V3) ++ (XnYn-1 – Xn-1Yn) + (x1Yn – xXnY1)O A =(X1Y2 + X2Y1) + (X2V3 + X3V2) ++ (Xn – 1Yn + XnYn – 1) + (XnY1 + X1Yn)= (x1Y2 – X2Y1) – (x2Y3 – X3Y2)-(xn – 1Yn – XnYn – 1) + (xnY1 – x1Yn)A =(c) Find the area of the pentagon with vertices (0, 0), (4, 1), (1, 3), (0, 2), and (-1, 1).H|N -|n 2

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:) Find the area of the pentagon with vertices (0, 0), (4, 1), (1, 3), (0, 2), and (-1, 1).

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.1: The Coordinate Plane

Problem 34E: In these exercises we find the area of plane figures. Plot the points P(5,1),Q(0,6) and R(5,1) on a...

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Question

below math question part C

(a) If C is the line segment connecting the point (x1, Y1) to the point (x2, y2), find the following.
х dy — у dx
(b) If the vertices of a polygon, in counterclockwise order, are (X1, Y1), (x2, Y2),
(Xn, Yn), find the area of the polygon.
...
A =
(X1Y2 - X2V1) + (x2Y3 - X3y2) + · ..
+ (Xn – 1Yn – XnYn – 1) + (XnY1 - X1Yn)
A = (X1V2 – X2V1) + (×2V3 – X3Y2) +
+ (xn - 1Ул — ХnYn - 1) + (xnУ1 - X1Уп)
A
(x2V1 – X1Y2) + (X3Y2 – X2V3) +
+ (XnYn-1 – Xn-1Yn) + (x1Yn – xXnY1)
O A =
(X1Y2 + X2Y1) + (X2V3 + X3V2) +
+ (Xn – 1Yn + XnYn – 1) + (XnY1 + X1Yn)
= (x1Y2 – X2Y1) – (x2Y3 – X3Y2)
-(xn – 1Yn – XnYn – 1) + (xnY1 – x1Yn)
A =
(c) Find the area of the pentagon with vertices (0, 0), (4, 1), (1, 3), (0, 2), and (-1, 1).
H|N -|n 2

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