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Mathematics 7 Online
OpenStudy (nincompoop):

omg

OpenStudy (nincompoop):

can someone break this down for me to see

OpenStudy (zzr0ck3r):

what is f?

OpenStudy (nincompoop):

\[=\frac{ 2 }{ 5 }\sum_{i=1}^{5}\frac{ -4i^2+125 }{ 25 }\]

OpenStudy (nincompoop):

oh f = -x^2 + 5

OpenStudy (ikram002p):

f(x)=-x^2+5

OpenStudy (abb0t):

Separate them in to seperate fractions.

OpenStudy (abb0t):

\(\sf \color{red}{i^2} = \color{blue}{\frac{n(n+1))2n+1)}{6}}\)

OpenStudy (nincompoop):

\[\frac { 2 }{ 5 } \left[ \frac{ 4 }{ 5 }\sum_{i=1}^{5}\ i^2 + \sum_{i=1}^{5} 5 \right]\]

OpenStudy (abb0t):

yep. U got it.

OpenStudy (nincompoop):

2/5[4/5 * (n(n+1)(2n+1))/6 + 25]

OpenStudy (nincompoop):

I am not getting 6.48

OpenStudy (abb0t):

constant also has an \(n\) remember.

OpenStudy (abb0t):

n = 5 in this case.

OpenStudy (nincompoop):

8/25 * (55 + 25)

OpenStudy (abb0t):

\[\sf \color{red}{i^2} = \color{blue}{\frac{n(n+1)(2n+1)}{6}}.........5\sum = 5n\]

OpenStudy (abb0t):

and just plug n chug.

OpenStudy (nincompoop):

it's what I did

OpenStudy (nincompoop):

first sum is 55 second is 5*5

OpenStudy (nincompoop):

now I have 2/5 * 4/5 = 8/25

OpenStudy (nincompoop):

8/25 * (55 + 25)

OpenStudy (nincompoop):

my arithmetic is effed up somewhere

OpenStudy (abb0t):

I GET 25.6

OpenStudy (nincompoop):

see?

OpenStudy (nincompoop):

if I didn't use summation, it would have been easier laughing out loud

OpenStudy (nincompoop):

OpenStudy (ikram002p):

u oly have i = 1,2,3,4,5 if i^2 dint work just check the sum if it the same to 6.48 check ur sol again

OpenStudy (abb0t):

yeah, maybe it's \(i\)?

OpenStudy (nincompoop):

I found the error, it should be 4/25

OpenStudy (nincompoop):

2/5 (220/25 +25)

OpenStudy (nincompoop):

still... LAUGHING OUT LOUD wow this is terrible

OpenStudy (ikram002p):

f=-x^2+5 \[\int\limits_{0}^{2} -x^2+5\] \[ -x^3/3+5x from 0 to 2\] \[ -8/3 +10 =10-2.6666=7.3333\] lol !

OpenStudy (nincompoop):

it cannot be i only because we're talking about f(x) = -x^2 + 5 the height must maintain the (2i/5)^2

OpenStudy (nincompoop):

i know.. I tried that also, @ikram002p

OpenStudy (abb0t):

mayb the books wrong?

OpenStudy (nincompoop):

since 6th edition all the way to 9th edition LAUGHING OUT LOUD it can happen

OpenStudy (anonymous):

i don't think the book is wrong

OpenStudy (ikram002p):

its actully correct the area btw 6.48 and 8.08

OpenStudy (ikram002p):

i wanna do the sum ^^

ganeshie8 (ganeshie8):

- is missing i think.. nin

ganeshie8 (ganeshie8):

minus sign

ganeshie8 (ganeshie8):

\(\large =\frac{ 2 }{ 5 }\sum_{i=1}^{5}\frac{ \color{red}{-}4i^2+125 }{ 25 }\)

OpenStudy (ikram002p):

if he miss minus sighn he wud get num >than 8 or so

ganeshie8 (ganeshie8):

hmmk... i just had a cursory glance.. .

OpenStudy (nincompoop):

thank you guys, I'll take a nap and restore some of that brain juice i might be able to do it tomorrow... I am so depleted to n00b level at the moment

OpenStudy (ikram002p):

i got -3.52+10=6.48

OpenStudy (nincompoop):

I think it's that -4/5 I did a 4/5 instead

OpenStudy (ikram002p):

its 2/5[(-4/25sum i^2) +(5×125/25)]

OpenStudy (ikram002p):

2/5[(-4/25 (330/6)) +(25)} =2/5[-8.8+25} =-3.52+10=6.48

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