Science:Math Exam Resources/Courses/MATH102/December 2017/Question 10 (b)
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Question 10 (b) 

An animal foraging in a food patch has a net energy gain of by the time it has been foraging for min (where is nonnegative and ). (b) For any positive time , what is the geometric interpretation of the function , as it appears on the graph of ?
B. It is the slope of the tangent line at . C. It is the tangent line to that goes through the origin. D. It is the steepest secant line on . 
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Hint 

Recall that . Then, we can write 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Since , we can write This is the slope of the secant line joining and .
Answer: . 