raph passes through every point. In scientific work, such a polynomial can be used, for example, to estimate values between the ata points. Another use is to create curves for graphical images on a computer screen. One method for finding an interpolating po solve a system of linear equations. Find the interpolating polynomial p(t) = a + a₁t+ a₂t² for the data (1,10), (2,18), (3,20). That a₁, and a2 such that the following is true. ao+a₁ (1) + a₂(1)² = 10 ao+a₁ (2) + a₂ (2)² = 18 ao+a₁ (3) + a₂ (3)² = 20 ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
icon
Related questions
Question

Please solve and reduce to it lowest form. Please showw all work.

Suppose experimental data are represented by a set of points in the plane. An interpolating polynomial for the data is a polynomial whose
graph passes through every point. In scientific work, such a polynomial can be used, for example, to estimate values between the known
data points. Another use is to create curves for graphical images on a computer screen. One method for finding an interpolating polynomial is
to solve a system of linear equations. Find the interpolating polynomial p(t) = a +at+ant for the data (1,10), (2,18), (3,20). That is, find
ao, a1₁, and a2 such that the following is true.
ao + a₁ (1)+ a₂ (1)² = 10
a + a₁ (2) + a₂ (2)² = 18
ao+a₁ (3) + a₂ (3)2 = 2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The interpolating polynomial is p(t) =
B. There are infinitely many possible interpolating polynomials.
O C. There does not exist an interpolating polynomial for the given data.
Transcribed Image Text:Suppose experimental data are represented by a set of points in the plane. An interpolating polynomial for the data is a polynomial whose graph passes through every point. In scientific work, such a polynomial can be used, for example, to estimate values between the known data points. Another use is to create curves for graphical images on a computer screen. One method for finding an interpolating polynomial is to solve a system of linear equations. Find the interpolating polynomial p(t) = a +at+ant for the data (1,10), (2,18), (3,20). That is, find ao, a1₁, and a2 such that the following is true. ao + a₁ (1)+ a₂ (1)² = 10 a + a₁ (2) + a₂ (2)² = 18 ao+a₁ (3) + a₂ (3)2 = 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The interpolating polynomial is p(t) = B. There are infinitely many possible interpolating polynomials. O C. There does not exist an interpolating polynomial for the given data.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax