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Author Question: Find the maximum value of on [0, 1], where f(x) = e-x2, and use it to obtain an upper bound for the ... (Read 66 times)

tsand2

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Question 1

Let f(x) be a function such that  - 9 ≤  f"(x) ≤ 3, for x∈[2, 4] and let J = dx. Find the maximum absolute error involved in approximating  the integral J using the Trapezoid Rule T10.
◦ 0
◦ 0.06
◦ 0.03
◦ 0.04
◦ 0.02

Question 2

Find the maximum value of    on  [0, 1],  where  f(x) = e-x2, and use it to obtain an upper bound for the absolute value of the error  involved if the Trapezoid Rule approximation based on  n  equal subintervals is used to approximate  I = dx. How large should  n  be chosen to ensure that the error does not exceed  ?
 ≤  1  on  [0, 1],    ≤  ,  n = 8  will do
 ≤  2  on  [0, 1],    ≤  ,  n = 15  will do
 ≤  2  on  [0, 1],    ≤  ,  n = 9  will do
 ≤  2  on  [0, 1],    ≤  ,  n = 10  will do
 ≤  1  on  [0, 1],    ≤  ,  n = 8  will do


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Marked as best answer by tsand2 on May 26, 2021

s.meritte

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Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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tsand2

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Reply 2 on: May 26, 2021
:D TYSM


covalentbond

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Reply 3 on: Yesterday
Great answer, keep it coming :)

 

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