Consider the function f (x) = 2x² – 11x + 16. - Express the area under the curve of f on the interval a, b . sums using right endpoints. Fill in the blank: as a limit of n lim Σ (-- _) Ax. n→∞ i=1 Note: Your answer should be the output of the function, not the function name. Your answer should be in terms of a, b, i, and n. а,

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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I need help with the question expressing area under the curve for the attached file labeled "a". I have put a second file with a similair problem and how my course wants it answered-see file "b"

Consider the function f (x) = 2x² – 11x + 16.
-
Express the area under the curve of f on the interval a, b .
sums using right endpoints. Fill in the blank:
as a limit of
n
lim Σ (--
_) Ax.
n→∞
i=1
Note: Your answer should be the output of the function, not the function
name. Your answer should be in terms of a, b, i, and n.
а,
Transcribed Image Text:Consider the function f (x) = 2x² – 11x + 16. - Express the area under the curve of f on the interval a, b . sums using right endpoints. Fill in the blank: as a limit of n lim Σ (-- _) Ax. n→∞ i=1 Note: Your answer should be the output of the function, not the function name. Your answer should be in terms of a, b, i, and n. а,
Consider the function f (x) = x² + 9.
Partition [a,b] into n equal-length subintervals. Using right
endpoints as the sample points in each subinterval, express
the integral of fon the interval [a,b] as a limit of sums. Fill in the
blank.
lim
n→∞ 7=1
Note: Your answer should be in terms of a, b, i, and n. Your answer
should not include f. If you need to compute the function fat a
particular input, apply the function to the input.
αΩ 6
II
Sa lim
(0)
[0]
CUn
|미
{마
(b-a)??
a?+
n?
2ai(b – a)
+9
+
Incorrect
YOUR ANSWER
(b-a)²;²
a +
2ai(b-a) + 9
+
n2
CORRECT ANSWER
[+*(부)",기 (부)
b-a
b-a
+ i
+ 9
VI
AI U
+
Transcribed Image Text:Consider the function f (x) = x² + 9. Partition [a,b] into n equal-length subintervals. Using right endpoints as the sample points in each subinterval, express the integral of fon the interval [a,b] as a limit of sums. Fill in the blank. lim n→∞ 7=1 Note: Your answer should be in terms of a, b, i, and n. Your answer should not include f. If you need to compute the function fat a particular input, apply the function to the input. αΩ 6 II Sa lim (0) [0] CUn |미 {마 (b-a)?? a?+ n? 2ai(b – a) +9 + Incorrect YOUR ANSWER (b-a)²;² a + 2ai(b-a) + 9 + n2 CORRECT ANSWER [+*(부)",기 (부) b-a b-a + i + 9 VI AI U +
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