A. Consider the following multivariable function z(x, y) where {a,b,c} are constant numbers. 1. Evaluate the derivatives dz ax) y 2. Evaluate the expression: ß = Z= CX y-b and 1 dy yox dz *C), y ду 1x -Z a 2 and verify that B - 1 x when a = b = 0 3. Evaluate the expression 4. Define @= - zy. If @³-0² (1+B) + A- AB = 0 derive expressions for A and B as CX functions of {a,b,c,z,x}

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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A. Consider the following multivariable function z(x, y)
where {a,b,c} are constant numbers.
1. Evaluate the derivatives
Əz
əx
2. Evaluate the expression: ß =
=
y
z =
and
1 by
y Ox
CX
y-by
(**)
Oz
Əy
2
and verify that B=- when a = b =0
ß
3. Evaluate the expression
zy
4. Define @ = ²y. If w³ − ∞² (1+B) + Aw− AB = 0 derive expressions for A and B as
functions of {a,b,c,z,x}
z dy
Transcribed Image Text:A. Consider the following multivariable function z(x, y) where {a,b,c} are constant numbers. 1. Evaluate the derivatives Əz əx 2. Evaluate the expression: ß = = y z = and 1 by y Ox CX y-by (**) Oz Əy 2 and verify that B=- when a = b =0 ß 3. Evaluate the expression zy 4. Define @ = ²y. If w³ − ∞² (1+B) + Aw− AB = 0 derive expressions for A and B as functions of {a,b,c,z,x} z dy
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