QuestionQuestion

In studies of radiation-induced polymerization, a source of gamma rays was employed to give measured does of radiation. However, the dosage varied with position in the apparatus, with these figures being recorded:
Position (in.) 0 0.5 1.0 1.5 2.0 3.0 3.5 4.0
Dosage (105 rads/hr) 1.90 2.39 2.71 2.98 3.20 3.20 2.98 2.74
The reading at 2.5in. was not reported, but the values of radiation there is needed. Fit a interpolating polynomial of various degrees (at 3 different polynomials) to the data to suppoly the missing information.
Compare each estimate with a cubic spline interpolation and estimate. What do you think is the best estimate for the dosage level at 2.5in.?

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

position = [0 0.5 1.0 1.5 2.0 3.0 3.5 4.0];
dosage = [1.90 2.39 2.71 2.98 3.20 3.20 2.98 2.74];
D1 = polyfit(position,dosage,1); % polyfit for polynomial of degree 1
d1 = D1(1)*2.5+D1(2); % dosage at 2.5in for polynomial of degree 1
D2 = polyfit(position,dosage,2); % polyfit for polynomial of degree 2...

By purchasing this solution you'll be able to access the following files:
Solution.m.

$10.00
for this solution

or FREE if you
register a new account!

PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

Find A Tutor

View available Numerical Analysis Tutors

Get College Homework Help.

Are you sure you don't want to upload any files?

Fast tutor response requires as much info as possible.

Decision:
Upload a file
Continue without uploading

SUBMIT YOUR HOMEWORK
We couldn't find that subject.
Please select the best match from the list below.

We'll send you an email right away. If it's not in your inbox, check your spam folder.

  • 1
  • 2
  • 3
Live Chats