EXPLAIN IN DETAILS PLEASE!! Suppose the number of crimes z committed in a city d

Question

EXPLAIN IN DETAILS PLEASE!! Suppose the number of crimes z committed in a city depends upon the number x of unemployed people and the size y of the police force. Of course, this oversimplifies the problem, but for the purposes of this problem, we'll assume that z=f(x,y)=[(x^4)*y]/[4*e^y], where the domains of x and y are suitably selected. a) Find fx and fy. Explain what each of these partial derivatives measures in this situation. b) Is fx positive or negative? Explain what this means in this situation. c) Is fy positive or negative? Explain what this means in this situation.

Explanation / Answer

A) To find fx, simply take y as a constant and differentiate like normal relative to x. So for this, you'd simply differentiate x taking y as non-changing (like a solid integer or something if you will). Fx should be 4x^3*y/(4e^y). In this situation, this refers to how fast crime is increasing as a result of more unemployed people. Doing the same for y and taking x as a constant, you should get Fy = x^4/(4*e^y)-x^4*y/(4e^y). In this situation, this is the how fast crime is increasing relative to a growing police force. B) Fx is positive here which means that crime increases as the number of unemployed people increases. C) Fy is negative here assuming the size of the police force is greater than one lol. This implies that crime goes down as the police force grows. Goodluck and please rate

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.