query 29

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course Mth 173

7/19 12:22 pm

029. `query 29*********************************************

Question: `qQuery 3.10.23 (previously 4.7.24) (was problem 7 p 290 ) prove if g' < h' on (a,b} and g(b) = h(b) then h < g on (a,b)--g,h both cont on [a,b] diff on (a,b)Explain why you expect, that for the given conditions, the function h will be strictly less than the function g on the interval.

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Your solution:

If f’(x) < 0 on the interval then the function is decreasing then f(b) = 0 then f(x)>0 on that interval

This means that g(x) - h(x) > 0

And g(x) > h(x)

confidence rating #$&*: 2

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Given Solution:

`aSince f ' (x) < 0 on the interval the function is decreasing on the interval, hence since f(b) = 0 it follows that f(x) > 0 on the interval.

From this it follows that g(x) - h(x) > 0 on the interval and g(x) > h(x). **

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Self-critique (if necessary):

OK

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Self-critique Rating: OK

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Question: `qQuery Add comments on any surprises or insights you experienced as a result of this assignment.

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Your solution:

This query was pretty straight forward

"

Self-critique (if necessary):

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Self-critique rating:

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Question: `qQuery Add comments on any surprises or insights you experienced as a result of this assignment.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

This query was pretty straight forward

"

Self-critique (if necessary):

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Self-critique rating:

#*&!

&#Good responses. Let me know if you have questions. &#