a 3a ба 7a f (x) 1 -1 -3 -7 -9 The continuous function fis decreasing for all r. Selected values of f are given in the table above, where a is a constant with 0 < a <3. Let Rbe the right Riemann sum approximation for f (x) dr using the four subintervals indicated by the data in the table. Which of the following statements is true? A R= (a? – 0) -1+ (3a – a²) .(-1)+(6a – 3a) · (-3)+(7a – 6a) · (-7) and is an underestimate for f (x) dz. R= (a? – 0) - 1+ (3a – a²) - (-1)+(6a – 3a) ·(-3)+(7a – 6a) - (-7) and is an overestimate for f (x) dz. B R= (a² – 0) · (-1)+(3a – a²) ·(-3)+(6a – 3a) · (-7)+(7a – 6a) · (-9) and is an underestimate for f (x) dz. D R= (a² – 0) · (-1)+(3a – a²) ·(-3)+(6a – 3a) · (-7)+(7a – 6a) · (–9) and is an overestimate for f (x) dr.
a 3a ба 7a f (x) 1 -1 -3 -7 -9 The continuous function fis decreasing for all r. Selected values of f are given in the table above, where a is a constant with 0 < a <3. Let Rbe the right Riemann sum approximation for f (x) dr using the four subintervals indicated by the data in the table. Which of the following statements is true? A R= (a? – 0) -1+ (3a – a²) .(-1)+(6a – 3a) · (-3)+(7a – 6a) · (-7) and is an underestimate for f (x) dz. R= (a? – 0) - 1+ (3a – a²) - (-1)+(6a – 3a) ·(-3)+(7a – 6a) - (-7) and is an overestimate for f (x) dz. B R= (a² – 0) · (-1)+(3a – a²) ·(-3)+(6a – 3a) · (-7)+(7a – 6a) · (-9) and is an underestimate for f (x) dz. D R= (a² – 0) · (-1)+(3a – a²) ·(-3)+(6a – 3a) · (-7)+(7a – 6a) · (–9) and is an overestimate for f (x) dr.
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
Transcribed Image Text:a
За
ба
7a
f (x)
1
-1
-3
-7
-9
The continuous function f is decreasing for all x. Selected values of ƒ are given in the table above, where a is a constant with 0 < a < 3. Let R be the right Riemann sum approximation for
7a
| f (x) da using the four subintervals indicated by the data in the table. Which of the following statements is true?
R3D (а? — 0) . 1+ (За — а?) . (-1) + (6а — За) . (-3) + (Та — 6а) . (-7) and is an underestimate for
| f(x) dz.
A
7a
R3D (а? — 0) . 1+ (За — а?) . (-1) + (6а — За) . (-3) + (7а — ба) . (-7) and is an overestimate for
| f(2) dz.
B
R= (a² – 0) · (-1)+ (3a – a²) · (-3)+(6a – 3a) · (-7)+ (7a – 6a) · (-9) and is an underestimate for
f (x) dx.
R3 (а? — 0) . (-1) + (За — а?) . (-3) + (ба - За) . (-7) + (Та — ва) . (-9) and is an overestimate for
f(2) dz.
D
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
