4. Consider f(x) = 2x² + 3 on the closed interval I = [0, 4]. 4 (a) Evaluate f(x) dx using an antiderivative formula, 4 * and let C; = 4i. Use these values to evaluate a (b) Let Ax¡ n 4 Riemann sum for f(x) dx as written in (a) above. You may need to use the fact that n c = c •n for any constant c i=1 and п(п + 1)(2n + 1) ;2 6. i=1 Note that the answers to parts (a) and (b) should be the same.
4. Consider f(x) = 2x² + 3 on the closed interval I = [0, 4]. 4 (a) Evaluate f(x) dx using an antiderivative formula, 4 * and let C; = 4i. Use these values to evaluate a (b) Let Ax¡ n 4 Riemann sum for f(x) dx as written in (a) above. You may need to use the fact that n c = c •n for any constant c i=1 and п(п + 1)(2n + 1) ;2 6. i=1 Note that the answers to parts (a) and (b) should be the same.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Only need (b), answer for (a) is =164/3
![4. Consider f(x) = 2x² + 3 on the closed interval
I = [0, 4].
4
(a)
Evaluate
f(x) dx
using an antiderivative formula.
4
Let Ax; =
* and let
C; = 4i. Use these values to evaluate a
(b)
n
4
Riemann sum for
f(x) dx as written
in (a) above. You may need to use the
fact that
c = c •n for any constant c
i=1
and
n(n + 1)(2n + 1)
;2
6.
i=1
Note that the answers to parts (a) and (b)
should be the same.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda95c7ce-4110-4e96-9776-1521e55bb937%2Fb456e2d5-0f98-49c8-b59e-c18cdd26b098%2Fm2s9lwk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Consider f(x) = 2x² + 3 on the closed interval
I = [0, 4].
4
(a)
Evaluate
f(x) dx
using an antiderivative formula.
4
Let Ax; =
* and let
C; = 4i. Use these values to evaluate a
(b)
n
4
Riemann sum for
f(x) dx as written
in (a) above. You may need to use the
fact that
c = c •n for any constant c
i=1
and
n(n + 1)(2n + 1)
;2
6.
i=1
Note that the answers to parts (a) and (b)
should be the same.
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