Which ONE of the following is FALSE? O Provided that the number of rectangles are allowed to tend to infinity, the left, right, midpoint, and trapezoid sums are all equal to the same value. If ƒ(2) ≤ g(z) on [0, 1] then f(x) dz ≤ ₁ [² [²1(2) + 9(2) dz ≤ ²*9(²) f(x) S 2 If f(z) ≥ 3 on [0, 2] then 6 ≤ =ff(x) dx ≤ f(f(x)]² da g(x) dx O The midpoint sum approximation and trapezoid sum approximation are equal if the number of rectangles is very large.
Which ONE of the following is FALSE? O Provided that the number of rectangles are allowed to tend to infinity, the left, right, midpoint, and trapezoid sums are all equal to the same value. If ƒ(2) ≤ g(z) on [0, 1] then f(x) dz ≤ ₁ [² [²1(2) + 9(2) dz ≤ ²*9(²) f(x) S 2 If f(z) ≥ 3 on [0, 2] then 6 ≤ =ff(x) dx ≤ f(f(x)]² da g(x) dx O The midpoint sum approximation and trapezoid sum approximation are equal if the number of rectangles is very large.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Which ONE of the following is FALSE?
O Provided that the number of rectangles are allowed to tend to infinity, the left, right, midpoint, and trapezoid
sums are all equal to the same value.
O
If f(x) ≤ g(a) on [0, 1] then * f(x) dx ≤
S
≤ ²1(²
If f(x) ≥ 3 on [0, 2] then 6 ≤
f(x) + g(x)
2
f(x) dx ≤ f(f(x)]² da
≤fol
da S
g(x) dx
O The midpoint sum approximation and trapezoid sum approximation are equal if the number of rectangles is
very large.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8802b953-f279-46e3-b0b8-9d29a86cf816%2F92de7a0c-e94e-4585-9707-dc64b513f08a%2Fsl65pv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which ONE of the following is FALSE?
O Provided that the number of rectangles are allowed to tend to infinity, the left, right, midpoint, and trapezoid
sums are all equal to the same value.
O
If f(x) ≤ g(a) on [0, 1] then * f(x) dx ≤
S
≤ ²1(²
If f(x) ≥ 3 on [0, 2] then 6 ≤
f(x) + g(x)
2
f(x) dx ≤ f(f(x)]² da
≤fol
da S
g(x) dx
O The midpoint sum approximation and trapezoid sum approximation are equal if the number of rectangles is
very large.
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