ksaimouli
find g(1) and g''(1)



This Question is Closed

ksaimouli
Best Response
You've already chosen the best response.
0
dw:1356718690979:dw

ksaimouli
Best Response
You've already chosen the best response.
0
\[g(x)=\int\limits_{0}^{x}f(t) dt\]

ksaimouli
Best Response
You've already chosen the best response.
0
graph above is f

ksaimouli
Best Response
You've already chosen the best response.
0
dw:1356718836761:dw

ksaimouli
Best Response
You've already chosen the best response.
0
find g(1)

ksaimouli
Best Response
You've already chosen the best response.
0
@hartnn

hartnn
Best Response
You've already chosen the best response.
2
can u find the point of intersection of those 2 lines ?
or, equation of those lines ??

mathmate
Best Response
You've already chosen the best response.
0
Is g(x) a constant? I don't see x in the definition of g(x).
Does f(x) = 0 for x>2, or does it decrease forever?

ksaimouli
Best Response
You've already chosen the best response.
0
@hba

ksaimouli
Best Response
You've already chosen the best response.
0
i know that f'(1)=0

ksaimouli
Best Response
You've already chosen the best response.
0
what i have no idea how to find the f(1)

hartnn
Best Response
You've already chosen the best response.
2
dw:1356720077842:dw

ksaimouli
Best Response
You've already chosen the best response.
0
slope is 3

hba
Best Response
You've already chosen the best response.
0
Now you can find the equation :)

hartnn
Best Response
You've already chosen the best response.
2
and u also have point , so equation is ?

ksaimouli
Best Response
You've already chosen the best response.
0
y=3x+3

hartnn
Best Response
You've already chosen the best response.
2
x=1
thats your f(t) for 0 to 1

hartnn
Best Response
You've already chosen the best response.
2
\(g(1)=\int\limits_{0}^{1}(3x+3) dt\)

hartnn
Best Response
You've already chosen the best response.
2
can u find g(1) now

ksaimouli
Best Response
You've already chosen the best response.
0
yes

hartnn
Best Response
You've already chosen the best response.
2
good :)

hba
Best Response
You've already chosen the best response.
0
(3x+3)

ksaimouli
Best Response
You've already chosen the best response.
0
3/2

ksaimouli
Best Response
You've already chosen the best response.
0
what about f''(1)

hartnn
Best Response
You've already chosen the best response.
2
u sure about 3/2 ??

ksaimouli
Best Response
You've already chosen the best response.
0
yes

ksaimouli
Best Response
You've already chosen the best response.
0
dw:1356720626985:dw

hartnn
Best Response
You've already chosen the best response.
2
ok,
\(g'(x)=(d/dx)\int_0^xf(t)dt = f(x)\\so,g''(x)=f'(x)\\g"(1)=f(1)\)
can u find f(1) ??
and no

ksaimouli
Best Response
You've already chosen the best response.
0
why not

hartnn
Best Response
You've already chosen the best response.
2
why ?

hartnn
Best Response
You've already chosen the best response.
2
why u want to use that line ??
f(1) is simple..

ksaimouli
Best Response
You've already chosen the best response.
0
ok

ksaimouli
Best Response
You've already chosen the best response.
0
0

hartnn
Best Response
You've already chosen the best response.
2
yes, correct.