The figure below shows rectangles approximating the area under the function f(x) = √√x over an interval of the x-axis. J 2 1 1 1 2 3 4 5 6 7 8 S Write the sum of the areas of the rectangles in the form f(x0)^x + f(x1)^x + f(x2)^x + f(x3)^x: (Use square roots in your answer.) Now, write the same Riemann sum using sigma notation: B B Σ i=0 Hint: Find an expression which increases 6 to xi.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The figure below shows rectangles approximating the area under the function f(x) = √√x over an interval
of the x-axis.
J
2
1
1
1 2
3
4 5
6
7
8 S
Write the sum of the areas of the rectangles in the form f(x0)^x + f(x1)^x + f(x2)^x + f(x3)^x:
(Use square roots in your answer.)
Now, write the same Riemann sum using sigma notation:
B
B
Σ
i=0
Hint: Find an expression which increases 6 to xi.
Transcribed Image Text:The figure below shows rectangles approximating the area under the function f(x) = √√x over an interval of the x-axis. J 2 1 1 1 2 3 4 5 6 7 8 S Write the sum of the areas of the rectangles in the form f(x0)^x + f(x1)^x + f(x2)^x + f(x3)^x: (Use square roots in your answer.) Now, write the same Riemann sum using sigma notation: B B Σ i=0 Hint: Find an expression which increases 6 to xi.
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