Answered: Interpolate the following data to…

Interpolate the following data to estimate the pressure at 7 minutes using 2nd order polynomial (By Lagrange interpolation) Time (x) 2.5 10 15 20 Pressure (y) 7.5 10.5 12.5 15.8 17.9 19.4

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 96E: What is the purpose of the Intermediate Value Theorem?

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Concept explainers

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.

Question

Interpolate the following data to estimate the pressure at 7 minutes using 2nd order polynomial (By Lagrange interpolation)
Time (x)
2.5
10
15
20
Pressure (y)
7.5
10.5
12.5
15.8
17.9
19.4

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