Lower Bound Iterated Integral | MATH200

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To find the lower bound for the iterated integral, the equation of the line is critical, with discussions centering on the correct slope and intercept. The initial attempt used y = (-5/4)x + 5, but confusion arose regarding its applicability, particularly at y = 2.5. Another participant suggested that the corner point might actually be at (2, 2), leading to the equation y = -x + 4 instead. The conversation highlights the importance of accurately identifying corner points and their corresponding equations in solving the integral. Clarifying these details is essential for correctly computing the lower bound.
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https://webwork.elearning.ubc.ca/webwork2_files/tmp/MATH200-ALL_2014W1//gif/G7FDHYKMT809-3725-setAssignment9prob2image1.png

How can I find the lower bound for an iterated integral in this case?

My attempt:

y = (-5/4)x+5 (which represents the line)

But it doesn't work.
 
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Why do you say it doesn't work? That is the equation of the lower line.
 
I am confused too. = (
an_zps5ad1ce20.jpg

only c is wrong.
 
but y = (-5/4)x+5 is only applicable till y = 2.5 though.
 
Maybe they're looking for -1.25 for the slope instead of -5/4.
 
Mark44 said:
Maybe they're looking for -1.25 for the slope instead of -5/4.

Tried both ways. = (
 
It looks to me like that one corner point is at (2, 2), not (2, 2.5). That would make the equation of the line y = -x + 4.
 
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What tells you that it is wrong? Is the final value of the integral wrong or do you get an error message? Do you need a multiplication sign (-5/4)*x+5?
 
Mark44 said:
It looks to me like that one corner point is at (2, 2), not (2, 2.5). That would make the equation of the line y = -x + 4.

thanks bro
 

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