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D. If C is a cost function and ° C'(q)dq = 1000, it means that it costs 1000 to produce 69 items. Answer: (T or F) E. If a function is increasing then the right-hand Riemann sums are always larger than than the left-hand Riemann sums with the same subdivisions over the same interval. Answer: (T or F) F. f' (b) – f'(a) = S. f" (x)dæ Answer: (T or F)

D. If C is a cost function and ° C'(q)dq = 1000, it means that it costs 1000 to produce 69 items. Answer: (T or F) E. If a function is increasing then the right-hand Riemann sums are always larger than than the left-hand Riemann sums with the same subdivisions over the same interval. Answer: (T or F) F. f' (b) – f'(a) = S. f" (x)dæ Answer: (T or F)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following are true? A. The definite integral f(x)dx always gives the area between the graph of f(x), the x-axis and the lines x=a and x=b. Answer: (T or F) B. The definite integral o f(x)dx is always negative, if f(x) < 0 Answer: F (T or F) C. If C is a cost function and 0 C'(q)dq 290, it means that the cost of increasing production level from 69 to 81 is equal to 290. Answer: T (T or F) 69 D. If C is a cost function and " C'(q)dq 1000, it means that it costs 1000 to produce 69 items. Answer: (T or F) E. If a function is increasing then the right-hand Riemann sums are always larger than than the left-hand Riemann sums with the same subdivisions over the same interval. Answer: (T or F) F. f'(b) – f'(a) = Si f" (x)dæ Answer: (T or F) G. If a function is concave up then the left-hand Riemann sums are always less than the right-hand sums with the same subdivisions over the same interval. Answer: (T or F)
Transcribed Image Text:Which of the following are true? A. The definite integral f(x)dx always gives the area between the graph of f(x), the x-axis and the lines x=a and x=b. Answer: (T or F) B. The definite integral o f(x)dx is always negative, if f(x) < 0 Answer: F (T or F) C. If C is a cost function and 0 C'(q)dq 290, it means that the cost of increasing production level from 69 to 81 is equal to 290. Answer: T (T or F) 69 D. If C is a cost function and " C'(q)dq 1000, it means that it costs 1000 to produce 69 items. Answer: (T or F) E. If a function is increasing then the right-hand Riemann sums are always larger than than the left-hand Riemann sums with the same subdivisions over the same interval. Answer: (T or F) F. f'(b) – f'(a) = Si f" (x)dæ Answer: (T or F) G. If a function is concave up then the left-hand Riemann sums are always less than the right-hand sums with the same subdivisions over the same interval. Answer: (T or F)
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