Consider the following. (Round your answers to four decimal places.) f(x, y) = yex %3D (a) Find f(2, 1) and f(2.1, 1.15) and calculate Az. f(2, 1) = f(2.1, 1.15) = Az = (b) Use the total differential dz to approximate Az. Az =
Consider the following. (Round your answers to four decimal places.) f(x, y) = yex %3D (a) Find f(2, 1) and f(2.1, 1.15) and calculate Az. f(2, 1) = f(2.1, 1.15) = Az = (b) Use the total differential dz to approximate Az. Az =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Consider the following. (Round your answers to four decimal places.)**
Function: \( f(x, y) = ye^x \)
**(a)** Find \( f(2, 1) \) and \( f(2.1, 1.15) \) and calculate \(\Delta z\).
\[
f(2, 1) = \_\_\_\_
\]
\[
f(2.1, 1.15) = \_\_\_\_
\]
\[
\Delta z = \_\_\_\_
\]
**(b)** Use the total differential \( dz \) to approximate \(\Delta z\).
\[
\Delta z = \_\_\_\_
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F124169c6-8d32-433b-ba67-139925e22b98%2F161e412d-5642-4099-b168-1ed134b0327b%2Fpdgbtsq_processed.png&w=3840&q=75)
Transcribed Image Text:**Consider the following. (Round your answers to four decimal places.)**
Function: \( f(x, y) = ye^x \)
**(a)** Find \( f(2, 1) \) and \( f(2.1, 1.15) \) and calculate \(\Delta z\).
\[
f(2, 1) = \_\_\_\_
\]
\[
f(2.1, 1.15) = \_\_\_\_
\]
\[
\Delta z = \_\_\_\_
\]
**(b)** Use the total differential \( dz \) to approximate \(\Delta z\).
\[
\Delta z = \_\_\_\_
\]
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