A. Consider the following multivariable function z(x, y) where {a,b,c} are constant numbers. 1. Evaluate the derivatives 2. Evaluate the expression: B 3. Evaluate the expression zy CX functions of {a,b,c,z,x} əz Əx 4. Define @= Z= CX y-b əz and 1 dy y ax), əz ду a y² X 1 and verify that B=- when a = b =0 X If w-w² (1+B) + Aw-AB=0 derive expressions for and B as

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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A. Consider the following multivariable function z(x, y)
where {a,b,c} are constant numbers.
1. Evaluate the derivatives
2. Evaluate the expression: B=
3. Evaluate the expression
zy
CX
functions of {a,b,c,z,x}
az
əx
4. Define @=
y
and
1 by
y ex
ax
CX
y-b y
y
Öz
ду
olªa
- z dy
2
1
and verify that ß = when a = b =0
If w³w² (1+B) + Aw- AB=0 derive expressions for A and B as
Transcribed Image Text:A. Consider the following multivariable function z(x, y) where {a,b,c} are constant numbers. 1. Evaluate the derivatives 2. Evaluate the expression: B= 3. Evaluate the expression zy CX functions of {a,b,c,z,x} az əx 4. Define @= y and 1 by y ex ax CX y-b y y Öz ду olªa - z dy 2 1 and verify that ß = when a = b =0 If w³w² (1+B) + Aw- AB=0 derive expressions for A and B as
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