To find example of a graph of a function f on interval [a, b] for which the left sum with four rectangles finds the exact area under the graph from x=a to x=b.

(b)

To determine

To find example of a graph of a function f on interval [a,b] for which all trapezoid sum finds the exact area under the graph from x=a to x=b.

(c)

To determine

To find an example in which the upper sum for 4 rectangles is a much better approximation than the lower sum with 4 rectangles.

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Chapter 4.2, Problem 1C

Chapter 4.2, Problem 3C

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Chapter 4 Solutions

Calculus Combo

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Prob. 16SC Ch. 4 - Prob. 17SC Ch. 4 - Prob. 18SC Ch. 4 - Prob. 19SC Ch. 4 - Prob. 20SC Ch. 4 - Prob. 21SC Ch. 4 - Prob. 22SC Ch. 4 - Prob. 23SC Ch. 4 - Prob. 24SC Ch. 4 - Prob. 25SC Ch. 4 - Prob. 26SC Ch. 4 - Prob. 27SC Ch. 4 - Prob. 28SC Ch. 4 - Prob. 29SC Ch. 4 - Prob. 30SC Ch. 4 - Prob. 31SC Ch. 4 - Prob. 32SC Ch. 4 - Prob. 33SC Ch. 4 - Prob. 34SC Ch. 4 - Prob. 35SC Ch. 4 - Prob. 36SC Ch. 4 - Prob. 37SC Ch. 4 - Prob. 38SC Ch. 4 - Prob. 39SC Ch. 4 - Prob. 40SC Ch. 4 - Prob. 41SC Ch. 4 - Prob. 42SC Ch. 4 - Prob. 43SC Ch. 4 - Prob. 44SC Ch. 4 - Prob. 45SC Ch. 4 - Prob. 46SC Ch. 4 - Prob. 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