Function with 3 variables (I know how two are related )

Click For Summary
SUMMARY

The discussion centers on deriving a function that relates the variables Z and F while eliminating the variable u, given the equation k*u^3=F. The user has data points indicating that when Z is 3, u is 5, and F is 3. To isolate Z and F, the user is advised to calculate the constant k using known values of F and u, and then express u as a function of F. The necessity of multiple data points to establish a reliable relationship between Z and u is emphasized.

PREREQUISITES
  • Understanding of polynomial equations and variable relationships
  • Familiarity with the concept of constants in mathematical functions
  • Basic proficiency in data analysis using Excel
  • Knowledge of how to manipulate equations to isolate variables
NEXT STEPS
  • Calculate the constant k using the known values of F and u
  • Explore methods to express u as a function of F
  • Gather additional data points to establish a relationship between Z and u
  • Learn about polynomial regression techniques for data fitting
USEFUL FOR

Students in mathematics or engineering, data analysts, and anyone working on problems involving variable relationships and function derivation.

pangolo
Messages
7
Reaction score
0

Homework Statement


I know that
k*u^3=F
And I have data of when you change Z , so for example if Z is 3, then u is 5 and F is 3.
And i need to get the function with only Z and F without u, how do I do it?

The Attempt at a Solution


I made a function through excel with Z and F but because U also varies I need to somehow substract it from the function?
 
Physics news on Phys.org
Is k a constant? Knowing F and u, you can calculate k. Then could you express u as a function of F?
How big is your data set? You could post it if not too big.
 
Use the data points to calculate k.

The next step would be to write an equation that relates z and u an substitute to eliminate u in the equation you give. However I think you need more than one data point to write an equation relating z and u.
 
  • Like
Likes   Reactions: scottdave

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 15 ·
Replies
15
Views
2K
Replies
2
Views
2K
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 25 ·
Replies
25
Views
2K
Replies
23
Views
2K
Replies
4
Views
2K
  • · Replies 27 ·
Replies
27
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K