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4. Find the absolute maximum and minimum value of f(x)=S0g(t)dt on the interval [0, 5], where g(t) is given by the graph below. (Remark: The part of the graph over [3, 5] is a quarter circle, and the part of the graph over [0, 3] is a line going straight up and to the right.)
Note: I'm using "S" as the definite integral sign.

Meg,
Very nicely stated problem except the last in the Remark.  How can a straight line go straight up and to the right?
Ok, now I see it as this.  On the interval [0,3], the function is a straight line going from say [0,0] to [3,0] and on the interval [3,5] it is a circle with 2 units radius.  Does this sound right?
Correction from my previous comment.  I meant  [0,0] to [3,2] not  [0,0] to [3,0]
Okay sorry! What I meant by straight up and to the right is this:
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I hope that makes sense! & as for the intervals, the function is a straight line going from (0, -1) to (3, 2) on the interval [0, 3]. & yes, the other part sounds right! The interval [3, 5] looks like a circle with 2 units radius.

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