The left, right, trapezoidal, and midpoint rule approximations were used to estimate =f²r f(x) dx, where f is the function whose graph is shown. The estimates were 0.7818, 0.8679, 0.8631, and 0.9540, and the same number of subintervals were used in each case. y = f(x) (a) Which rule produced which estimate? L = R₁ = T₁ = M smaller value larger value (b) Between which two approximations does the true value of of f²f(x) f(x) dx lie?
The left, right, trapezoidal, and midpoint rule approximations were used to estimate =f²r f(x) dx, where f is the function whose graph is shown. The estimates were 0.7818, 0.8679, 0.8631, and 0.9540, and the same number of subintervals were used in each case. y = f(x) (a) Which rule produced which estimate? L = R₁ = T₁ = M smaller value larger value (b) Between which two approximations does the true value of of f²f(x) f(x) dx lie?
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![The left, right, trapezoidal, and midpoint rule approximations were used to estimate
same number of subintervals were used in each case.
n
Mn
(a) Which rule produced which estimate?
Ln
Rn
=
=
||
y
1 k
||
y = f(x)
smaller value
larger value
2
(b) Between which two approximations does the true value of
X
→
2
#f²f(x
'2
[²₁
f(x) dx, where f is the function whose graph is shown. The estimates were 0.7818, 0.8679, 0.8631, and 0.9540, and the
f(x) dx lie?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd809d5b2-068c-4298-891d-c2034ce49e09%2F3e7c6139-29ce-4b48-b438-c8844b3a8f46%2Fumq007_processed.png&w=3840&q=75)
Transcribed Image Text:The left, right, trapezoidal, and midpoint rule approximations were used to estimate
same number of subintervals were used in each case.
n
Mn
(a) Which rule produced which estimate?
Ln
Rn
=
=
||
y
1 k
||
y = f(x)
smaller value
larger value
2
(b) Between which two approximations does the true value of
X
→
2
#f²f(x
'2
[²₁
f(x) dx, where f is the function whose graph is shown. The estimates were 0.7818, 0.8679, 0.8631, and 0.9540, and the
f(x) dx lie?
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