Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 30 days

Continue

Input your name and email to request the answer

Like

Report

(a) Suppose the related demand equations are written in the form $p_{1}=F(x, y)$ and $p_{2}=G(x, y) .$ What conditions on the partial derivative determine when the products are complementary, substitute or neither?(b) What is the relationship between the products whose demand equations are $p_{1}=-2 x+6 y+25$ and $p_{2}=-6 x-7 y+62 ?$

(a) if $\frac{\partial p_{1}}{\partial y}>0$ and $\frac{\partial p_{2}}{\partial x}>0$ then sub, if $\frac{\partial p_{1}}{\partial y}<0$ and $\frac{\partial p_{2}}{\partial x}<0$ then comp if $\frac{\partial p_{1}}{\partial y} \cdot \frac{\partial p_{2}}{\partial x}<0$ then neither(b) neither

Calculus 3

Chapter 6

An Introduction to Functions of Several Variables

Section 5

Economic Applications

Partial Derivatives

Johns Hopkins University

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

Lectures

12:15

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

04:14

No transcript available

View More Answers From This Book

Find Another Textbook

04:56

Determine the area of the region between the given curves.$$f(x)=|x| \te…

02:33

$$\text { If } f(x, y, z)=3 e^{2 x^{2} y^{3} z^{4}}, \text { find } f_{x}(-1…

01:28

Use the method of Lagrange multipliers to optimize $f$ as indicated, subject…

02:07

Determine the area of the region bounded by the given curves.The region …

01:26

Evaluate the given definite integral.$\int_{-1}^{2}\left(3 x^{2}-2 x+4\r…

02:11

Evaluate the given integral.$$\int\left(2 x^{2}-3 x y^{3}+y^{2}+3\right)…

02:48

The cost of producing a rectangular box is as follows: the sides cost $\$ 2$…

01:43

Evaluate the given definite integral.$$\int_{-2}^{3}|t| d t$$

01:50

Evaluate the given integral and check your answer.$$\int \sqrt{2 x} d x$…

01:39

Evaluate the given integral and check your answer.$$\int \sqrt[4]{x^{5}}…