1) For the function f(x) = 10 - 4x2 , find a formula for the lower sum obtained by dividing the interval [0, 1] into n equal subintervals. Then take the limit as n-o to calculate the area under the curve over [0, 1]. 4n3 + 6n2 + 2n A) 4 ;; Area = 3 8n3 + 12n2 + 4n ; Area 3 3n3 В) 10- 26 3n3 + 6n2 + 2n C) 10 - 26 -; Area 3 4n3 + 6n2 + 2 34 -; Area = 3 3n3 D) 10 + 3n3

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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1) For the function f(x) = 10 - 4x² , find a formula for the lower sum obtained by dividing the interval
[0, 1] into n equal subintervals. Then take the limit asn- to calculate the area under the curve over
[0, 1].
4n3 + 6n2 + 2n
A)
4
-; Area
3
8n3 + 12n2 + 4n
26
-; Area
3
3n3
В) 10-
%3D
3n3
4n3 + 6n2 + 2n
C) 10
26
; Area =
4n3 + 6n2 + 2
3n3
D) 10 +
-; Area
3
34
3n3
Transcribed Image Text:1) For the function f(x) = 10 - 4x² , find a formula for the lower sum obtained by dividing the interval [0, 1] into n equal subintervals. Then take the limit asn- to calculate the area under the curve over [0, 1]. 4n3 + 6n2 + 2n A) 4 -; Area 3 8n3 + 12n2 + 4n 26 -; Area 3 3n3 В) 10- %3D 3n3 4n3 + 6n2 + 2n C) 10 26 ; Area = 4n3 + 6n2 + 2 3n3 D) 10 + -; Area 3 34 3n3
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