dyEx: finddxor y, or f (x)wheref (x) = 4x2 + 4x + 4y = 4x2 + 4x + 4dy= 8x + 4+0dxExample 1: If u(x, y) = x³y² + x² – 3y + 4 finda²ua) axдидиand f)b)c)d)e)дудхдудхдуду?

Answered: Image /qna-images/answer/b6db942d-f3c5-43d1-bffd-28937318efde.jpg

Answered: Example 1: If u(x, y) = x³y² + x² - 3y…

Engineering

Civil Engineering

Example 1: If u(x, y) = x³y² + x² - 3y + 4 find a²u e) a²u a2u a2u ди and f) дудх ди а) Əx b) c) ду d) дхду ду?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.

Question

dy
Ex: find
dx
or y, or f (x)where
f (x) = 4x2 + 4x + 4
y = 4x2 + 4x + 4
dy
= 8x + 4+0
dx
Example 1: If u(x, y) = x³y² + x² – 3y + 4 find
a²u
a) ax
ди
ди
and f)
b)
c)
d)
e)
дудх
ду
дхду
ду?

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