a Construct a polynomial (x) that has zeros at x 2, 1, 0, 1, and 2 b Graph and its derivative together How is what you see related to Rolles Theorem c Do g(x) sin x and its derivative g illustrate the same phenomenon as and ...

a A polynomial that has zeros at x 2 1 0 1 and 2 can be constructed as follows x x 2x 1xx 1x 2 b The ...

a. Construct a polynomial (x) that has zeros at x = -2, -1, 0, 1, and 2.

Question:

a. Construct a polynomial ƒ(x) that has zeros at x = -2, -1, 0, 1, and 2.

b. Graph ƒ and its derivative ƒ′ together. How is what you see related to Rolle’s Theorem?

c. Do g(x) = sin x and its derivative g′ illustrate the same phenomenon as ƒ and ƒ′?

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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 20, 2023 11:18 AM

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a. Construct a polynomial (x) that has zeros at x = -2, -1, 0, 1, and 2.

Question:

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a A polynomial that has zeros at x 2 1 0 1 and 2 can be constructed as follows x x 2x 1xx 1x 2 b The ...View the full answer

Thomas Calculus Early Transcendentals

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