a. Sketch the graph of the function on the given interval. b. Calculate Ax and the grid points x0, x1, ..., xn. c. Illustrate the left and right Riemann sums. Then determine which Riemann sum underestimates and which sum overestimates the area under the curve. d. Calculate the left and right Riemann sums. 25. f(x) = x +1 on [0, 4]; n = 4
a. Sketch the graph of the function on the given interval. b. Calculate Ax and the grid points x0, x1, ..., xn. c. Illustrate the left and right Riemann sums. Then determine which Riemann sum underestimates and which sum overestimates the area under the curve. d. Calculate the left and right Riemann sums. 25. f(x) = x +1 on [0, 4]; n = 4
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Question 25 ( show all work, thank you!)
answer is given
Transcribed Image Text:25. L
a. c.
5
4
2+
0
YA
5+
4
3
2
Left Riemann sum underestimates area.
b. Ax
2
=
y = x + 1
d. 10, 14
2
4
y = x+1
3
Right Riemann sum overestimates area.
4
X
1; xo = 0, x₁ = 1, x₂ = 2, x3 = 3, x4 = 4
![25-32. Left and right Riemann sums Complete the following steps for the given
function, interval, and value of n.
a. Sketch the graph of the function on the given interval.
b. Calculate Ax and the grid points 0, 1,
xn.
c. Illustrate the left and right Riemann sums. Then determine which Riemann
sum underestimates and which sum overestimates the area under the
curve.
d. Calculate the left and right Riemann sums.
25. f(x) = x +1 on [0, 4]; n = 4
26. f(x) = 9 − x on [3, 8]; n
-
=
5
27. f(x) = cos x on 0,
T
28. T f(x) = sin
ㅠ
n [0, {]
2
on [0, 3]; n = 6
-
T
X
-1
3
29. f(x) = x² 1 on [2, 4]; n = 4
; n = 4
30. f(x) = 2x² on [1, 6]; n = 5
31.
f(x) = e/2 on [1, 4]; n = 6
32. f(x) = ln 4x on [1, 3]; n = 5
... 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F627ffe10-a730-4e4c-b7e9-b306478e5985%2Fd160cec7-2b5c-42c4-90e0-3d4bf58f7929%2Fqjrhpws_processed.jpeg&w=3840&q=75)
Transcribed Image Text:25-32. Left and right Riemann sums Complete the following steps for the given
function, interval, and value of n.
a. Sketch the graph of the function on the given interval.
b. Calculate Ax and the grid points 0, 1,
xn.
c. Illustrate the left and right Riemann sums. Then determine which Riemann
sum underestimates and which sum overestimates the area under the
curve.
d. Calculate the left and right Riemann sums.
25. f(x) = x +1 on [0, 4]; n = 4
26. f(x) = 9 − x on [3, 8]; n
-
=
5
27. f(x) = cos x on 0,
T
28. T f(x) = sin
ㅠ
n [0, {]
2
on [0, 3]; n = 6
-
T
X
-1
3
29. f(x) = x² 1 on [2, 4]; n = 4
; n = 4
30. f(x) = 2x² on [1, 6]; n = 5
31.
f(x) = e/2 on [1, 4]; n = 6
32. f(x) = ln 4x on [1, 3]; n = 5
... 2
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