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crimeas [40]
2 years ago
12

URGENT!! Offering 50 Points

Mathematics
2 answers:
Vlad1618 [11]2 years ago
7 0

Answer:

<em>B. x=13/8</em>

Step-by-step explanation:

#platofam

harkovskaia [24]2 years ago
5 0

Answer:

  B.  x ≈ 13/8

Step-by-step explanation:

We assume that one iteration consists of determining the midpoint of the interval known to contain the root.

The graph shows the functions intersect between x=1 and x=2, hence our first guess is x = 3/2.

Evaluation of the difference between the left side expression and the right side expression for x = 3/2 shows that difference to be negative, so we can narrow the interval to (3/2, 2). Our 2nd guess is the midpoint of this interval, so is x = 7/4.

Evaluation of the difference between the left side expression and the right side expression for x = 3/4 shows that difference to be positive, so we can narrow the interval to (3/2, 7/4). Our 3rd guess is the midpoint of this interval, so is x = 13/8.

_____

The sign of the difference at this value of x is still negative, so the next guess would be 27/16. It is a little hard to tell what the question means by "3 iterations." Evaluating the function for x=13/8 will be the third evaluation, so the determination that x=27/16 will be the next guess might be considered to be the result of the 3rd iteration.

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Hello there.

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