a Plot the zeros of each polynomial on a line together with the zeros of its first derivative i) y x 2 4ii) y x 2 8x 15iii) y x 3 3x 2 4 (x 1)(x 2) 2 iv) y x 3 33x 2 216x x(x 9)(x 24) b Use Rolles Theorem to prove that between every two zeros of xn an 1 xn 1 ax ao there lies a zero of a nxn 1 (n 1)...

a i The polynomial y x2 4 has zeros at x 2 and x 2 Its first derivative is y 2x which has a ...

a. Plot the zeros of each polynomial on a line together with the zeros of its first

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a. Plot the zeros of each polynomial on a line together with the zeros of its first derivative.

i) y = x² - 4ii) y = x² + 8x + 15iii) y = x³ - 3x² + 4 = (x + 1)(x - 2)²iv) y = x³ - 33x² + 216x = x(x - 9)(x - 24)

b. Use Rolle’s Theorem to prove that between every two zeros of

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: Apr 19, 2023 12:34 PM

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a. Plot the zeros of each polynomial on a line together with the zeros of its first

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xn + an-1.xn-1 + + a₁x + ao there lies a zero of + a₁. ... nxn-1 + (n − 1)an-1x²-2 + - ...

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a i The polynomial y x2 4 has zeros at x 2 and x 2 Its first derivative is y 2x which has a ...View the full answer

Thomas Calculus Early Transcendentals

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