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Find the Maximum Value of on [0, 1] \le

Question 100

Multiple Choice

Find the maximum value of  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do on [0, 1], where f(x) =  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do , 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 =  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do dx. How large should n be chosen to ensure that the error does not exceed  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do ?


A)  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do \le 2 on [0, 1],  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do \le  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do , n = 10 will do
B)  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do \le 1 on [0, 1],  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do \le  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do , n = 8 will do
C)  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do \le 1 on [0, 1],  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do \le  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do , n = 8 will do
D)  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do \le 2 on [0, 1],  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do \le  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do , n = 9 will do
E)  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do \le 2 on [0, 1],  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do \le  Find the maximum value of    on [0, 1], where f(x)  =   , 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   ? A)     \le  2 on [0, 1],    \le    , n = 10 will do B)     \le  1 on [0, 1],    \le    , n = 8 will do C)     \le  1 on [0, 1],    \le   , n = 8 will do D)     \le  2 on [0, 1],    \le   , n = 9 will do E)     \le  2 on [0, 1],   \le    , n = 15 will do , n = 15 will do

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