MATLAB - Numerical Methods
You have data
x = [0 1 2 3 4] and y = [0 1 4 9 16]. How do you interpolate the square root of 5 using interp1?You have data x = [0 1 2 3 4] and y = [0 1 4 9 16]. How do you interpolate the square root of 5 using interp1?
hard📝 Application Q8 of 15
Step-by-Step Solution
Solution:
Step 1: Understand the problem
To approximate sqrt(5) (~2.236) using interpolation on y = x^2 table, perform inverse interpolation: find x where y=5.Step 2: Choose correct syntax
Useinterp1(y, x, 5, 'linear')to find x at y=5.Final Answer:
Useinterp1(y, x, 5, 'linear')to find x for y=5 -> Option CQuick Check:
Inverse interp1(y, x, 5) ≈ sqrt(5) [OK]
Quick Trick: Inverse interp1(y, x, 5, 'linear') for sqrt(5) [OK]
Common Mistakes:
- Using direct interp1(x, y, sqrt(5))
- Querying at x=5 instead of y=5
- Using wrong method
Master "Numerical Methods" in MATLAB
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