Functions of many variables, Mathematics

Assignment Help:

There may be more than one independent variable which determines the value of y. The dimension of a function is determined by the number of independent variables in the domain of a function. For example:

y = f(x, z) is a two dimensional function.

y = f(x1, x2, ....xn) is an n-dimensional function.

Example 

In capital budgeting, the net present value (y) of an investment project is defined as a function of the net cash flows in different time periods, project's initial cash outlay, the firm's cost of capital, and the life of the project.

This relationship can be expressed functionally as:

                   y      = f(Ct, B, P, N)

where,

                    C­t    =     net cash flow in time period t (t = 1, 2, ....N)

                   B      =     the project's initial cash outlay

                   P      =     the firm's cost of capital

                   N      =     the life of the project

It is known that this function is:

y  = f(Ct, B, P, N) = 366_functions.png

For any given values of the right hand side independent variables, we can determine the left hand side dependent variable in a unique manner.


Related Discussions:- Functions of many variables

Laplace transforms, As we saw in the previous section computing Laplace tra...

As we saw in the previous section computing Laplace transforms directly can be quite complex. Generally we just utilize a table of transforms when actually calculating Laplace tran

Quistins, define even and odd function state whether given function are eve...

define even and odd function state whether given function are even odd or neither 1 f x =sin x cos x 2 f x {x}=x +x3n #Minimum 100 words accepted#

Retail price index, Retail price index This is weighted average of pri...

Retail price index This is weighted average of price relatives based on an average household in the base year. The items consumed are divided into groups as liker food, transp

Probability rules, Probability Rules A probability is a number as...

Probability Rules A probability is a number assigned to the occurrence of an event in a sample space. Probability measures must satisfy three rules. If A is an even

What is the new cost of the pants, A pair of pants costs $24. The cost was ...

A pair of pants costs $24. The cost was decreased by 8%. What is the new cost of the pants? If the cost of the pants is decreased by 8%, the cost of the pants is 92 percent of

Give the definition of logarithms, Give the Definition of Logarithms ? ...

Give the Definition of Logarithms ? A logarithm to the base a of a number x is the power to which a is raised to get x. In equation format: If x = ay, then log a x = y.

The cost of renting a bike at the local bike is y = 2x + 2, The cost of re...

The cost of renting a bike at the local bike shop can be represented through the equation y = 2x + 2, where y is the total cost and x is the number of hours the bike is rented. Whi

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd