Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...
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![Find a,b and c so that the quadrature formula has the highest degree of precision
f(x)dx × af (0) + bf(1) + cf (2)
a=1/3 b=-2/3 c=1/9
a=1/3 b=2/3 c=-1/9
a=1/3 b=-4/3 c=1/3
a=1/3 b=4/3 c=1/3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf3b7374-38f6-4410-b7ad-ca3362d81817%2F6ece158a-7fc3-4671-9e37-2e9e5e431956%2Fqwz4xzm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find a,b and c so that the quadrature formula has the highest degree of precision
f(x)dx × af (0) + bf(1) + cf (2)
a=1/3 b=-2/3 c=1/9
a=1/3 b=2/3 c=-1/9
a=1/3 b=-4/3 c=1/3
a=1/3 b=4/3 c=1/3
![Consider the function f defined on [0, 1] such that f(0) = 1, ƒ(1) = 3, f(1/5) = f(3/5) =
Si f(x)dx by
4, and f(2/5) = f(4/5) = c. Suppose that the approximation of I =
composite Trapezoidal rule with 5 subintervals is 1.8, then the value of c is:
4
0.5
2
-0.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf3b7374-38f6-4410-b7ad-ca3362d81817%2F6ece158a-7fc3-4671-9e37-2e9e5e431956%2F1ysy8o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function f defined on [0, 1] such that f(0) = 1, ƒ(1) = 3, f(1/5) = f(3/5) =
Si f(x)dx by
4, and f(2/5) = f(4/5) = c. Suppose that the approximation of I =
composite Trapezoidal rule with 5 subintervals is 1.8, then the value of c is:
4
0.5
2
-0.5
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