Given the function V(x,y,z) = x² In(y – xz) a. Solve all the first-order derivatives of V(x,y,z). Do not simplify you- b. Initially, x = 3, y = 4e¬3, z = e-3. Approximate the change in W if: a. Only x changes and it changes to –1; b. Only z changes and it changes to 0.5e¬3; c. x changes to –1 and z changes to 0.5e¬3 at the same time;

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given the function V(x,y,z) = x² In(y – xz)
a. Solve all the first-order derivatives of V(x,y,z). Do not simplify your answers.
b. Initially, x = 3, y = 4e-3, z = e-3. Approximate the change in W if:
a. Only x changes and it changes to –1;
b. Only z changes and it changes to 0.5e¬3;
c. x changes to –1 and z changes to 0.5e-3 at the same time;
Transcribed Image Text:Given the function V(x,y,z) = x² In(y – xz) a. Solve all the first-order derivatives of V(x,y,z). Do not simplify your answers. b. Initially, x = 3, y = 4e-3, z = e-3. Approximate the change in W if: a. Only x changes and it changes to –1; b. Only z changes and it changes to 0.5e¬3; c. x changes to –1 and z changes to 0.5e-3 at the same time;
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