Skill Builder: Topic 6.2- Approximating Areas with Riemann Sums Answer each of the following problems. Be sure to show all necessary work. 1 x² +8 on the interval [0, 4]. Find approximations of the area lying 2 1.) Consider the function f(x) 1 underneath f(x) = )== x² +8, using the the given number of n sub-intervals. Draw in the representative rectangles for each approximation. 2 Right Side Endpoints (Rectangle) n = 4 6 S 12 Ay 7 1 4 2 3 Midpoints (Rectangle) n = 2 4 5 === Left Side Endpoints (Rectangle) n = 4 Ay 7 6 IS 3 12 1 Trapezoids 15 4 2 n = 4 3 4 4 5

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Chapter1: Functions And Models
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Skill Builder: Topic 6.2- Approximating Areas with Riemann Sums
Answer each of the following problems. Be sure to show all necessary work.
1
x² +8 on the interval [0, 4]. Find approximations of the area lying
2
1.) Consider the function f(x)
1
)=-- x² +8, using the the given number of n sub-intervals.
2
Draw in the representative rectangles for each approximation.
6
S
Right Side Endpoints (Rectangle) n = 4
2
Ay
underneath f(x) =
7
4
1
2
Midpoints (Rectangle) n = 2
3
4
===
Left Side Endpoints (Rectangle) n = 4
Ay
7
6
IS
3
12
1
Trapezoids
15
4
2
n = 4
3
4
5
Transcribed Image Text:Skill Builder: Topic 6.2- Approximating Areas with Riemann Sums Answer each of the following problems. Be sure to show all necessary work. 1 x² +8 on the interval [0, 4]. Find approximations of the area lying 2 1.) Consider the function f(x) 1 )=-- x² +8, using the the given number of n sub-intervals. 2 Draw in the representative rectangles for each approximation. 6 S Right Side Endpoints (Rectangle) n = 4 2 Ay underneath f(x) = 7 4 1 2 Midpoints (Rectangle) n = 2 3 4 === Left Side Endpoints (Rectangle) n = 4 Ay 7 6 IS 3 12 1 Trapezoids 15 4 2 n = 4 3 4 5
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