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13 Nov 2019
Consider the equation
1 point) Consider the equation 2z5 + 3z = 4. We will take steps to locate a solution of the equation. (a) Which of these intervals contains a solution of the equation: -2, -1], -1,0], [0, 1], or [1,2? Answer. The interval ti contains a solution of the given equation. (b) Take your answer in part (a) and cut it in the middle to obtain two intervals I and I2. (For instance, if your answer in part (a) is [-2, -1], then cutting it in the middle ylelds the two intervals [-2,-1.5 and -1.5, -1]. In this case, then, I and 12 would be [-2, -1.5] and [-1.5,- respectively.) Which one of these two intervals contains the solution? Answer: The interval ç° contains a solution of the given equation. (Note: Give your answer in interval notation. Do NOT enter the symbols " 11"or" 12" ) (c) By cutting the interval you obtained in (b) in the middle, find an interval of length 0.25 that contains the solution. Answer: The interval is of length 0.25 and it contains a solution of the given equation (d) Reiterate this procedure now to tind an interval of length 0.125 that contains the solution Answer. The interval 1 is of length 0.125 and it contains a solution of the given equation. (e) Based on the previous answer, our best estimate of the solution is r EEE and the maximum error possible for this estimate is
Consider the equation
1 point) Consider the equation 2z5 + 3z = 4. We will take steps to locate a solution of the equation. (a) Which of these intervals contains a solution of the equation: -2, -1], -1,0], [0, 1], or [1,2? Answer. The interval ti contains a solution of the given equation. (b) Take your answer in part (a) and cut it in the middle to obtain two intervals I and I2. (For instance, if your answer in part (a) is [-2, -1], then cutting it in the middle ylelds the two intervals [-2,-1.5 and -1.5, -1]. In this case, then, I and 12 would be [-2, -1.5] and [-1.5,- respectively.) Which one of these two intervals contains the solution? Answer: The interval ç° contains a solution of the given equation. (Note: Give your answer in interval notation. Do NOT enter the symbols " 11"or" 12" ) (c) By cutting the interval you obtained in (b) in the middle, find an interval of length 0.25 that contains the solution. Answer: The interval is of length 0.25 and it contains a solution of the given equation (d) Reiterate this procedure now to tind an interval of length 0.125 that contains the solution Answer. The interval 1 is of length 0.125 and it contains a solution of the given equation. (e) Based on the previous answer, our best estimate of the solution is r EEE and the maximum error possible for this estimate is
Irving HeathcoteLv2
30 Aug 2019