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For which of the initial approximations $x_1 = a$, $b$, $c$, and $d$ do you thing Newton's method will work and lead to the root of the equation $f(x) = 0$?

$a, b,$ or $c$ will likely work

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Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Michael J.

Idaho State University

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Video Transcript

We know that when X one equals d, the tangent line intersects with the X axis far off to the left not particularly close. Therefore, we know that X two intersex the X axis further away to the right. Therefore, we know Newton's method would failed for this initial approximation there for a being C will work. However, we already established why d may not work given New Newton's method.

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Michael J.

Idaho State University

Lectures

Join Bootcamp