Math Problem Statement

Y(21.05)=2.15 Y(21.15)=1.093 Y(x)=1.158

Solution

It looks like you're working with a function Y(x)Y(x) and evaluating it at different points. Could you clarify what you're trying to determine? Are you looking for interpolation, extrapolation, or something else?

If you want to find xx for which Y(x)=1.158Y(x) = 1.158, you might need interpolation between given points. Let me know how you'd like to proceed!

Related Questions:

  1. How do we use linear interpolation to estimate values between known points?
  2. What is the formula for Lagrange interpolation?
  3. How can we solve for xx if Y(x)Y(x) is given?
  4. What are the advantages of different interpolation methods?
  5. How do we check if a function is linear based on given points?

Tip: When working with interpolation, always check if the data follows a linear or nonlinear trend!

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Math Problem Analysis

Mathematical Concepts

Interpolation
Linear Interpolation
Numerical Methods

Formulas

Linear interpolation formula: Y(x) = Y1 + ( (x - x1) / (x2 - x1) ) * (Y2 - Y1 )

Theorems

Linear Interpolation Theorem

Suitable Grade Level

Grades 10-12