Mathematics, 05.02.2021 19:10 ameliaxbowen7
Select the correct answer.
Jacob is solving the equation below using successive approximations.
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?
A.
Jacob made a mistake at step 5. He should have used x = as the new upper bound.
B.
Jacob made a mistake at step 2. The actual evaluation of the rewritten equation at x = 2 is 3.
C.
Jacob did not make any mistakes in the calculation process.
D.
Jacob made a mistake at step 4. The actual evaluation of the rewritten equation is approximately -1.636.
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Select the correct answer.
Jacob is solving the equation below using successive approximations.
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