Find the slope of a line parallel to the line that crosses ( 3 , − 2 ) and the y -intercept is ( 0 , − 3 ) . I finally figured o
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are the critical points, and judging by the picture alone, you must have
Then the shaded region has area
I'll leave the details to you.
Now, for part (iv), you're asked to find the minimum of
setting equal to 0 and finding the critical point:
This is to say the minimum value of
The minimum value of