Question

Let f(x) = tan(x/10) for ?? ? x ? 4??. We wish to estimate ?[from ?? to 4??] f(x) dx by the Midpoint Rule. In (a), (b) and (c), you must provide the exact values (as formulas). The approximate decimal values are not accepted. a) Divide the domain of f into 5 sub-intervals of equal length. Calculate their common length ?x. b) What are the midpoints m1, m2, m3, m4 and m5? List below their values, in ascending order, separating them by commas. c) List below the corresponding values f(m1), f(m2), f(m3), f(m4) and f(m5), separating them by commas. d) Using the information found in (a), (b) and (c), find the approximation of ?[from ?? to 4??] f(x) dx that is produced by the Midpoint Rule with 5 sub-intervals. FORMATTING: Approximate your answer with ±0.001 precision.

          Let f(x) = tan(x/10) for ?? ? x ? 4??. We wish to estimate
?[from ?? to 4??] f(x) dx
by the Midpoint Rule.
In (a), (b) and (c), you must provide the exact values (as formulas). The approximate decimal values are not accepted.
a) Divide the domain of f into 5 sub-intervals of equal length. Calculate their common length ?x.
b) What are the midpoints m1, m2, m3, m4 and m5? List below their values, in ascending order, separating them by commas.
c) List below the corresponding values f(m1), f(m2), f(m3), f(m4) and f(m5), separating them by commas.
d) Using the information found in (a), (b) and (c), find the approximation of
?[from ?? to 4??] f(x) dx
that is produced by the Midpoint Rule with 5 sub-intervals.
FORMATTING: Approximate your answer with ±0.001 precision.

Let f(x) = tan(x/10) for ?? ? x ? 4??. We wish to estimate
?[from ?? to 4??] f(x) dx
by the Midpoint Rule.
In (a), (b) and (c), you must provide the exact values (as formulas). The approximate decimal values are not accepted.
a) Divide the domain of f into 5 sub-intervals of equal length. Calculate their common length ?x.
b) What are the midpoints m1, m2, m3, m4 and m5? List below their values, in ascending order, separating them by commas.
c) List below the corresponding values f(m1), f(m2), f(m3), f(m4) and f(m5), separating them by commas.
d) Using the information found in (a), (b) and (c), find the approximation of
?[from ?? to 4??] f(x) dx
that is produced by the Midpoint Rule with 5 sub-intervals.
FORMATTING: Approximate your answer with ±0.001 precision.

Added by Vitelma T.

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