8. Assume f(x) is continuous and positive for allx in [a,b] . If the conditions in a particular column hold for all x in [a,b], decide whether the sum in a particular row overestimates f(x)dx or underestimates fS(x)dx or whether there is not enough information to tell. S(x) >0, f"(x)>0 S(x)>0,f"(x)<0 s'(x)<0,f"(x) >0 f (3)<0,f"(x)<0 RHS LHS MPS

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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8. Assume f(x) is continuous and positive for all x in [a,b] . If the conditions in a particular column hold for all
x in [a,b], decide whether the sum in a particular row overestimates S(x)dx or underestimates f(x)dx or
whether there is not enough information to tell.
f'(x)> 0, f"(x)>0 f(x)>0, f"(x) <0 f'(x)<0, f"(x) >0 f'(x)<0, f"(x)<0
RHS
LHS
MPS
Transcribed Image Text:8. Assume f(x) is continuous and positive for all x in [a,b] . If the conditions in a particular column hold for all x in [a,b], decide whether the sum in a particular row overestimates S(x)dx or underestimates f(x)dx or whether there is not enough information to tell. f'(x)> 0, f"(x)>0 f(x)>0, f"(x) <0 f'(x)<0, f"(x) >0 f'(x)<0, f"(x)<0 RHS LHS MPS
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