Explain in a sentence what the partial derivative of f with respect to x represents in the context of this problem. Include units in your explanation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Suppose the number of crimes z committed in a city depends only upon the number x of unemployed
people and the size y of the police force. This oversimplifies the problem, but assume
Z= f(x,y)
x = number of unemployed
y = size of police force.
Explain in a sentence what the partial derivative of f with respect to x represents in the context of this
problem. Include units in your explanation.
Do you expect this partial to be positive or negative? Explain.
Explain in a sentence what the partial derivative of f with respect to y represents in the context of this
problem. Include units in your explanation.
Do you expect this partial to be positive or negative? Explain
Transcribed Image Text:Suppose the number of crimes z committed in a city depends only upon the number x of unemployed people and the size y of the police force. This oversimplifies the problem, but assume Z= f(x,y) x = number of unemployed y = size of police force. Explain in a sentence what the partial derivative of f with respect to x represents in the context of this problem. Include units in your explanation. Do you expect this partial to be positive or negative? Explain. Explain in a sentence what the partial derivative of f with respect to y represents in the context of this problem. Include units in your explanation. Do you expect this partial to be positive or negative? Explain
Expert Solution
Step 1

Advanced Math homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Partial Derivatives
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,