Example 7.4. Using Newton's backward difference formula, construct an interpolatingpolynomial of degree 3 for the data : f(-0.75) = -0.0718125, f(-0.5) = -0.02475, f(-0.25)0.5) -= 0.3349375, f(0) = 1.10100. Hence find f(-1/3).(Anna, B.Tech., 2003)

Answered: Image /qna-images/answer/cd34cff8-814d-4adc-b96b-c0e6129320c8.jpg

Answered: Example 7.4. Using Newton's backward…

Advanced Engineering Mathematics

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ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F) and relative humidity h,. It is given by HI = - 42.379 + 2.049015237 + 10.14333127h, – 0.22475541Th, – (6.83783 × 10-³)T² - (5.481717 x 10-3)h,² + (1.22874 × 10-³)7°h, + (8.5282 - 10-4)Th,² - (1.99 x 10-")T®h,?. a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel? b. If the air temperature and relative humidity is known to be increasing at a rate of 2°F per sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107°F with a relative humidity of 8%?
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Example 7.4. Using Newton's backward difference formula, construct an interpolating polynomial of degree 3 for the data : f(-0.75) = -0.0718125, f(-0.5) = -0.02475, f(-0.25) = 0.3349375, f(0) = 1.10100. Hence find f(-1/3). 718125, f(-0.5) (Anna, B.Tech., 2003)