
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Q3

Transcribed Image Text:Given a 2-dimensional function
T(x, y) = 3y² + sin(x)
answer the following
a)
find the expression for the partial derivative
ƏT
dx
use "pi" to denote.
b)
find the expression for the partial derivative
Ꭲ
OT
c)
what position within the triangle region can I find the lowest value of T(x, y)
{}}
ду
d)
(0,1)
Rows: 2 Columns: 1
e)
(0,0)
Integration of a function F(x, y) over the triangular region shown below involves the
following integral:
F(x, y)dydx
10.11
(0,0)
(2.0) *
un
define the upper limits of the integral denoted by f(x)
integrate the function F(x, y) = x² over the triangle domain shown in d)
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