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(b) Obtain the quartic interpolating polynomial of the form f(x) = a + bæ + ca² + dæ® + ex* which passes through all the following points. 1 2 3 4 y = f(x) 56 264 808 1940 3984 Hence find: () a +b+c+d + e (ii) a – b (iii) f(5.5) (iv) f'(1) (v) f"(1) (vi) f"(1)

(b) Obtain the quartic interpolating polynomial of the form f(x) = a + bæ + ca² + dæ® + ex* which passes through all the following points. 1 2 3 4 y = f(x) 56 264 808 1940 3984 Hence find: () a +b+c+d + e (ii) a – b (iii) f(5.5) (iv) f'(1) (v) f"(1) (vi) f"(1)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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(i) f'(1) (ii) f"(3) (b) Obtain the quartic interpolating polynomial of the form f(x) = a + bx + cz? + dz³ + ez* which passes through all the following points. 3 4 y = f(z) 56 4 264 808 1940 3984 Hence find: () a +b+c+ d+e (ii) a – b (ii) f(5.5) (iv) f'(1) (v) f"(1) (vi) f"(1)
Transcribed Image Text:(i) f'(1) (ii) f"(3) (b) Obtain the quartic interpolating polynomial of the form f(x) = a + bx + cz? + dz³ + ez* which passes through all the following points. 3 4 y = f(z) 56 4 264 808 1940 3984 Hence find: () a +b+c+ d+e (ii) a – b (ii) f(5.5) (iv) f'(1) (v) f"(1) (vi) f"(1)
(i) f'(1) (ii) f"(3) (b) Obtain the quartic interpolating polynomial of the form f(x) = a + bx + cz? + dz³ + ez* which passes through all the following points. 3 4 y = f(z) 56 4 264 808 1940 3984 Hence find: () a +b+c+ d+e (ii) a – b (ii) f(5.5) (iv) f'(1) (v) f"(1) (vi) f"(1)
Transcribed Image Text:(i) f'(1) (ii) f"(3) (b) Obtain the quartic interpolating polynomial of the form f(x) = a + bx + cz? + dz³ + ez* which passes through all the following points. 3 4 y = f(z) 56 4 264 808 1940 3984 Hence find: () a +b+c+ d+e (ii) a – b (ii) f(5.5) (iv) f'(1) (v) f"(1) (vi) f"(1)
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