(b) Suppose we wish to estimate the area 3 Vĩ dx 2 using the Trapezium rule.

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Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 40CR: For T:P5P3 and nullity(T)=4, find rank(T).
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(b) Suppose we wish to
estimate the area
3
Va dx
2
using the Trapezium rule.
Furthermore, suppose we
want to make sure that the
error in our estimates is such
that
€T(n) < 1 × 10-5
What is the smallest of n
required to do this?
Transcribed Image Text:(b) Suppose we wish to estimate the area 3 Va dx 2 using the Trapezium rule. Furthermore, suppose we want to make sure that the error in our estimates is such that €T(n) < 1 × 10-5 What is the smallest of n required to do this?
(a) Find T4 and S4 of
y = 3 · x³ + 3 for
х€ [0, 1].
To do this complete the
following table
Xi
f(x¡)
2
4
and then, using this table,
calculate
T4
S4
Transcribed Image Text:(a) Find T4 and S4 of y = 3 · x³ + 3 for х€ [0, 1]. To do this complete the following table Xi f(x¡) 2 4 and then, using this table, calculate T4 S4
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