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Mathematics 20 Online
OpenStudy (anonymous):

Guys please help me..... I give medals

OpenStudy (anonymous):

OpenStudy (anonymous):

@freckles

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

@jim_thompson5910 please help me

jimthompson5910 (jim_thompson5910):

they let u = x+1 then they derived both sides with respect to x to get du/dx = 1 du = 1*dx du = dx making sense so far?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

they only have true and false as possible answers

jimthompson5910 (jim_thompson5910):

now focus on the limits of integration for that first integral they are 3 and 5 if x = 3, then what is the value of u? u = x+1

OpenStudy (anonymous):

4

OpenStudy (anonymous):

wait, is it 1/4?

jimthompson5910 (jim_thompson5910):

idk how you're getting 1/4

jimthompson5910 (jim_thompson5910):

but if x = 3, then u = 4, yes

jimthompson5910 (jim_thompson5910):

if x = 5, then u=x+1=5+1 = 6 so the limits change from 3,5 to 4,6

jimthompson5910 (jim_thompson5910):

hopefully this convinces you that the given equation is true

OpenStudy (anonymous):

oh i see

OpenStudy (anonymous):

yes they just converted the x into U values

jimthompson5910 (jim_thompson5910):

yep u-sub

OpenStudy (anonymous):

I get it now. Can you help me with one last one?

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

first graph y = x^3 - 3x^2 + 2x. What do you notice about it?

OpenStudy (anonymous):

it has one max and one min

jimthompson5910 (jim_thompson5910):

what are the roots?

OpenStudy (anonymous):

0 1 2

OpenStudy (anonymous):

x= 0,1,2

jimthompson5910 (jim_thompson5910):

|dw:1448331633562:dw|

jimthompson5910 (jim_thompson5910):

|dw:1448331646795:dw|

jimthompson5910 (jim_thompson5910):

|dw:1448331664600:dw|

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