4.Use finite approximation to estimate the area under the graph of f(x) 5xi) a lower sum with two rectangles of equal widthii) a lower sum with four rectangles of equal widthi) an upper sum with two rectangles of equal width.iv) an upper sum with four rectangles of equal widthand above the graph of f(x) 0 from Xo = 0 to x, = 2 usingThe estimated area using a lower sum with two rectangles of equal width is(Simplify your answer. Type an integer or a decimal.)square unitsThe estimated area using a lower sum with four rectangles of equal width issquare units(Simplify your answer. Type an integer or a decimal.)The estimated area using an upper sum with two rectangles of equal width issquare units(Simplify your answer. Type an integer or a decimal.)The estimated area using an upper sum with four rectangles of equal width is(Simplify your answer. Type an integer or a decimal.)square units

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Asked Nov 13, 2019
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4.
Use finite approximation to estimate the area under the graph of f(x) 5x
i) a lower sum with two rectangles of equal width
ii) a lower sum with four rectangles of equal width
i) an upper sum with two rectangles of equal width.
iv) an upper sum with four rectangles of equal width
and above the graph of f(x) 0 from Xo = 0 to x, = 2 using
The estimated area using a lower sum with two rectangles of equal width is
(Simplify your answer. Type an integer or a decimal.)
square units
The estimated area using a lower sum with four rectangles of equal width is
square units
(Simplify your answer. Type an integer or a decimal.)
The estimated area using an upper sum with two rectangles of equal width is
square units
(Simplify your answer. Type an integer or a decimal.)
The estimated area using an upper sum with four rectangles of equal width is
(Simplify your answer. Type an integer or a decimal.)
square units
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4. Use finite approximation to estimate the area under the graph of f(x) 5x i) a lower sum with two rectangles of equal width ii) a lower sum with four rectangles of equal width i) an upper sum with two rectangles of equal width. iv) an upper sum with four rectangles of equal width and above the graph of f(x) 0 from Xo = 0 to x, = 2 using The estimated area using a lower sum with two rectangles of equal width is (Simplify your answer. Type an integer or a decimal.) square units The estimated area using a lower sum with four rectangles of equal width is square units (Simplify your answer. Type an integer or a decimal.) The estimated area using an upper sum with two rectangles of equal width is square units (Simplify your answer. Type an integer or a decimal.) The estimated area using an upper sum with four rectangles of equal width is (Simplify your answer. Type an integer or a decimal.) square units

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Expert Answer

Step 1

It is given that f(x) = 5x2, x0 = 0 and xn=2.

(i)

For n 2
b-а
Ar =
п
2 0
2
1
So, the intervals are [0,1][1,2]
Here x0,x=1.
f(o) 0,f(2)- 20
Area is given by 1(0+20)=20
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For n 2 b-а Ar = п 2 0 2 1 So, the intervals are [0,1][1,2] Here x0,x=1. f(o) 0,f(2)- 20 Area is given by 1(0+20)=20

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Step 2

(ii)

For n=4

b-a
Ar =
2 0
So, the intervals are 0,
1
,x2 = 1,xg
Here, x0,x =
5
3
45
f(0) 0,f
2
35
5
0+
+5
4
45
Area is given by
4
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b-a Ar = 2 0 So, the intervals are 0, 1 ,x2 = 1,xg Here, x0,x = 5 3 45 f(0) 0,f 2 35 5 0+ +5 4 45 Area is given by 4

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Step 3

(iii)

For n=2

&nbs...

b-a
Δr-
2 0
2
=1
So, the intervals are [0.1]1,2
Here 1x2
f(1)5,(2) 20
Area is given by 1(5+20)= 25
help_outline

Image Transcriptionclose

b-a Δr- 2 0 2 =1 So, the intervals are [0.1]1,2 Here 1x2 f(1)5,(2) 20 Area is given by 1(5+20)= 25

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