Question

Jacob is solving the equation below using successive approximations.2^x-4=3^-x-2 He started from a graph where he found the solution to be between 1 and 2. Using the lower and upper bounds from the graph, Jacob did the following work for the first iteration. Step 1 Rewrite the equation so that it equals zero on one side. Step 2 Evaluate the rewritten equation at the lower and upper bounds. To find the solution that lies between 1 and 2, set these values as the lower and upper bounds while finding the solution. Step 3 Take the average of the lower and upper bounds. Step 4 Evaluate the rewritten equation at x = . Step 5 Since this value is positive, replace the previous lower bound so that the bounds are now x = and x = 2. Where did Jacob make a mistake, and what was the error?

Answer 1

Answer:

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D. Jacob made a mistake at step 5. He should have used  x = 3/2   as the new upper bound.

Step-by-step explanation:

Answer 2

The mistake made by Jacob is; D: Jacob made a mistake at step 5. He should have used x=32 as the new upper bound.

How to Solve Successive Approximations?

In Mathematics, successive approximation can be defined as a classical method that is used in Calculus for solving integral equations or initial value problems.

In this question, Jacob started the first iteration of successive approximation by using the lower and upper bounds of the graph. However, we can deduce that Jacob made a mistake instep 5 because he should have used x = 3/2 as the new upper bound.

Read more about Successive Approximations at; https://brainly.com/question/25219621

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