Question: Hi there, just need help with this step by step if possible? Tho Extrema-Value Theorem states that if x] is oontinuous over a closed interval
Hi there, just need help with this step by step if possible?

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Tho Extrema-Value Theorem states that if x] is oontinuous over a closed interval [mil], then x] must have an absolute maximum value and an absolute minimum value over [11. b]. If the hypotheses of the Extreme 1|Ini'alue Theorem are satised, then Hie absolute maximum and absolute minimum of the motion can be found by using the following prooodure. 1. Find the absolute maximum and minimum values of 11"" .1. HI} = T + 5x3 15:3 + It] on the interval [3.3]. a] Find all critical numbers offx] in le given interval. b]: Males a chart. showing the value of the function at each eritioal number listed in part [a] and at the endpoints of the given interval. e] The largest 3r. value in part [b] is the absolute maximum and the smallest is the absolute minimum. The absolute maximum of fix] over the interval [5.3] is The absolute minimum of r] over the interval [5.3] is 2. Use the procedure outlined in problem #1 to find the absolute maximum and minimum values of f(x) = ~+2x3 - 6x~ + 10 on the interval [-1,3]. Note: This is the same function as in #1 but the interval is different. 3. Use the procedure outlined in problem #1 to find the absolute maximum and minimum values of g (x) = x2/3 on the interval [[-8,1]
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