The thickness of the retina changes during certain eye diseases. One way to measure retinal thickness is to shine a low-energy laser at the retina and record the reflections on film. Because of the optical properties of the eye, the reflections from the front surface of the retina and the back surface of the retina will appear as two lines on the film separated by a distance. The distance between the lines on the film is proportional to the thickness of the retina. Below are data taken from the scanned film. Fit two Gaussian-shaped curves of arbitrary height and location to these data and determine the distance between the centers of the two peaks. A Gaussian curve has the form
wherek and a are constants that relate to the peak height and the center of the peak, respectively.
Position | Light Intensity | Position | Light Intensity |
0.17 | 5.10 | 0.31 | 25.31 |
0.18 | 5.10 | 0.32 | 23.79 |
0.19 | 5.20 | 0.33 | 18.44 |
0.20 | 5.87 | 0.34 | 12.45 |
0.21 | 8.72 | 0.35 | 8.22 |
0.22 | 16.04 | 0.36 | 6.12 |
0.23 | 26.35 | 0.37 | 5.35 |
0.24 | 31.63 | 0.38 | 5.15 |
0.25 | 26.51 | 0.39 | 5.10 |
0.26 | 16.68 | 0.40 | 5.10 |
0.27 | 10.80 | 0.41 | 5.09 |
0.28 | 11.26 | 0.42 | 5.09 |
0.29 | 16.05 | 0.43 | 5.09 |
0.3 | 21.96 | 0.44 | 5.09 |
Want to see the full answer?
Check out a sample textbook solutionChapter 20 Solutions
Numerical Methods for Engineers
Additional Math Textbook Solutions
Basic Technical Mathematics
Fundamentals of Differential Equations (9th Edition)
Advanced Engineering Mathematics
Numerical Analysis
A Graphical Approach to College Algebra (6th Edition)
- The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?arrow_forwardIf you travel 100 miles in two hours, then your average speed for the trip is Average speed=_________=________arrow_forwardIf y varies inversely with x and y=11 when x=3 find the equation that relates x and y.arrow_forward
- If p varies directly as q and p=10 , when q=2 . find the equation that relates p and q.arrow_forwardThe length a spring stretches varies directly with a weight placed at the end of the spring. When Meredith placed a 6-pound cantaloupe on a hanging scale, the spring stretched 2 inches. How far would the spring stretch if the cantaloupe weighed 9 pounds?arrow_forwardThe time required to empty a pool varies inversely as the rate of pumping. It took Lucy 2.5 hours to empty her pool using a pump that was rated at 400 gpm (gallons per minute). a. Write the equation of variation. b. How long will it take her to empty the pool using a pump rated at 500 gpm?arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning