For this problem, you will need to use the Desmos Riemann Sum Calculator. (This link opens a new tab/window.) Initially, the calculator shows a left Riemann sum with n = 5 subintervals for the function f(x) = 2x+1 on the interval [1, 4). Update the applet to consider the function f(x) = x² + 1 on the same interval. Compute the following Riemann sums. L5 = M₁ = , R = L25= L100 = M25= M100 = R25= R100 Observe any patterns you see in the calculations above, and make an educated guess of the exact area bounded by f(x) = z²+1 and the z-axis on the interval [1,4]. Exact Area =
For this problem, you will need to use the Desmos Riemann Sum Calculator. (This link opens a new tab/window.) Initially, the calculator shows a left Riemann sum with n = 5 subintervals for the function f(x) = 2x+1 on the interval [1, 4). Update the applet to consider the function f(x) = x² + 1 on the same interval. Compute the following Riemann sums. L5 = M₁ = , R = L25= L100 = M25= M100 = R25= R100 Observe any patterns you see in the calculations above, and make an educated guess of the exact area bounded by f(x) = z²+1 and the z-axis on the interval [1,4]. Exact Area =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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![For this problem, you will need to use the Desmos Riemann Sum Calculator. (This link opens a new tab/window.)
Initially, the calculator shows a left Riemann sum with n = 5 subintervals for the function f(x) = 2x + 1 on the interval [1,4]. Update the applet to
consider the function f(x) = x² +1 on the same interval. Compute the following Riemann sums.
L5 =
R5 =
L25 =
L100 =
M5
=
M25=
M100 =
R25=
R100 =
Observe any patterns you see in the calculations above, and make an educated guess of the exact area bounded by f(x) = z²+1 and the z-axis on
the interval [1,4].
Exact Area =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1b1d143-3544-4565-ae01-c2b2100e15ce%2Fe5a9cc76-df67-437d-b507-684cd0800124%2Fap71ag9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For this problem, you will need to use the Desmos Riemann Sum Calculator. (This link opens a new tab/window.)
Initially, the calculator shows a left Riemann sum with n = 5 subintervals for the function f(x) = 2x + 1 on the interval [1,4]. Update the applet to
consider the function f(x) = x² +1 on the same interval. Compute the following Riemann sums.
L5 =
R5 =
L25 =
L100 =
M5
=
M25=
M100 =
R25=
R100 =
Observe any patterns you see in the calculations above, and make an educated guess of the exact area bounded by f(x) = z²+1 and the z-axis on
the interval [1,4].
Exact Area =
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