Problem 4: Lety: [0, 1] C be a smooth curve and -y the curve with the same image asy, but traversed in the reverse direction (i.e., y(t) = (1-t)). Show that for any continuous function f defined along Y, [f(z)dz = -, f(2) dz.

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
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Problem 4: Lety: [0, 1] C be a smooth curve and -y the curve with the same image
asy, but traversed in the reverse direction (i.e., y(t) = (1-t)). Show that for any
continuous function f defined along Y,
[f(z)dz = -, f(2) dz.
Transcribed Image Text:Problem 4: Lety: [0, 1] C be a smooth curve and -y the curve with the same image asy, but traversed in the reverse direction (i.e., y(t) = (1-t)). Show that for any continuous function f defined along Y, [f(z)dz = -, f(2) dz.
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