• Best of luck to the class of 2024 for their HSC exams. You got this!
    Let us know your thoughts on the HSC exams here
  • YOU can help the next generation of students in the community!
    Share your trial papers and notes on our Notes & Resources page
MedVision ad

Exponentials and Logs help!? (1 Viewer)

siraulo23

New Member
Joined
Sep 2, 2009
Messages
26
Gender
Male
HSC
2010
1) Find the point of intersection of the curves y=logex and y=log10x

2) Use Simpson's rule with 3 function values to find the area enclosed by the curve y=e^2x, the y axis and the line y=3 correct to 3 significant figures

3) Sketch y=log(x-x^2)

Please show working

Thanks in advance!!!
 

tommykins

i am number -e^i*pi
Joined
Feb 18, 2007
Messages
5,730
Gender
Male
HSC
2008
Should be a ln10.lnx - lnx = 0
lnx(ln10-1) = 0

lnx = 0 thus x = 1.
 

siraulo23

New Member
Joined
Sep 2, 2009
Messages
26
Gender
Male
HSC
2010
y=e^2x
x= (lny)/2

h=(b-a)/n
h=(3-0)/2 = 3/2

y 0 3/2 3
x (ln0)/2 ln(3/2)/2 (ln3)/2

(ln0)/2= error
 

jet

Banned
Joined
Jan 4, 2007
Messages
3,148
Gender
Male
HSC
2009
Oh sorry about that lol, wasn't concentrating very much.
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top