Jacob is solving the equation below using successive approximations.
he started from a g...
Mathematics, 04.12.2019 23:31 olgapagan1010
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 2. the actual evaluation of the rewritten equation at x = 2 is 3.
b.
jacob did not make any mistakes in the calculation process.
c.
jacob made a mistake at step 4. the actual evaluation of the rewritten equation is approximately -1.636.
d.
jacob made a mistake at step 5. he should have used x = as the new upper bound.
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