Math  /  Calculus

QuestionConsider the function f(x)=7xf(x)=7-|x| defined on [7,7][-7,7]. (a) Compute the left Riemann sum L5L_{5}. L5=L_{5}= \square help (numbers) (b) Compute the right Riemann sum R5R_{5}. R5=R_{5}= \square help (numbers) (c) Compute the average value of L5L_{5} and R5R_{5}.
Average value == \square help (numbers) (d) Compute the area under the graph of f .
Area == \square help (numbers) (e) Compare the two values found in (c) and (d).
The average value is \square the area.

Studdy Solution
Compare the average value with the exact area.
The average value is 47.04 47.04 and the exact area is 49 49 .
The average value is \text{less than} the area.
The answers are:
(a) L5=47.04 L_5 = 47.04
(b) R5=47.04 R_5 = 47.04
(c) Average value = 47.04 47.04
(d) Area = 49 49
(e) The average value is \text{less than} the area.

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