Question

evaluate g(x) for x for x=0,3,6,9,12,15, and 18
the image for the graph is http://www.webassign.net/mapleplots/6/2/c13f7764b81080be24cc7fa9af7565.gif
I have all except 15 and 18
any help is great

Answer 1

u said g(x) and x there but the graph shows f(t)?

Answer 2

sorry left out some information ...g(x)=\[\int\limits_{0}^{x}\] f(t) dt

Answer 3

thats kinda important, golfergirl :P

ok - tell me how u get the other values of g(x) for x=0...12 plz?

Answer 4

g(3=1/2*3*3=4.5(area of triangle
g(6)=4.5-1/2*3*3=0
g(9)=0-1/2*3*3=-4.5
and so on but I do not understand g(15) which i need in order to get g(18)

Answer 5

yup yup good so u know g(x) represents the area under the graph of f(t) ;)

u have got g(12) so u just need to calculate the area under f(t) between t=12 and 15 ok?

Answer 6

ok and 12=0

Answer 7

yup g(12)=0 and the area between t=12 n 15 looks like a.....what?

hint: its a polygon...

Answer 8

a triangle

Answer 9

nope its a triangle between t=9 and 12 but between t=12 and 15, it is.....

Answer 10

parallelogram?

Answer 11

nope.....

Answer 12

ok well I don't know the shape then I guess

Answer 13

u need to know before u can calculate its area though :(

check this out plz http://en.wikipedia.org/wiki/Trapezoid

Answer 14

ok so i take the area of the trapezoid and take g(12)- that area?

Answer 15

correct :)

Answer 16

ok well i got 13.5 and this is not correct so can you please tell me where I went wrong because I did 3+6/2*3=13.5

Answer 17

right?

Answer 18

yours is for g(18)

Answer 19

so following this it would be 3+6=9
9/2=4.5
4.5*3=13.5
which isn'tcorrect

Answer 20

ooops....sorry - yes, I got confused w g(18)

hmmmm yes, g(15) should be 13.5....why is that not the right answer?

Answer 21

oh shoot yes this is correct. so now I have g(18)=36
thank you for your help

Answer 22

u are welcome - u did all the work by urself :)