Homework Statement
Sketch modulus((z+1)/(2z+3))=1 on the complex plane where z=x+iy
Homework Equations
The Attempt at a Solution
I know it is a circle but i need help simplifying the equation into the form of a circle.
i'm stuck at
0= 3x^2 + 3y^2 + 10x + 8
I usually...
Homework Statement
I have a thousand random numbers generated between -100 and 100 and want to count the number of occurences of each integer. I know i can use the COUNTIF function, but for so many numbers it takes way too long. Is there a way to create a loop in excel that can do this or...
alright i understand the theory behind it. But assume we didn't know anything about how this question is related to kinetic energy, how would i begin to solve it?
Since it was a question in my math class and you are not expected to know kinetic energy.
Homework Statement
Show that for a particle moving with velocity v(t), if v . v'=0
then the speed v is constant.
Homework Equations
The Attempt at a Solution
Let v = (v1,v2,...,vn)
and let v'= (v'1,v'2,...,v'n)
So,
v . v'= v1v'1 + v2v'2 + ... + vnv'n = 0
This is the...
haha yeah stop doing my homework for me!
Ok i figured it out properly
F(t) = ma0e-bt
m(dv/dt) = ma0e-bt
∫mdv = ∫ma0e-btdt (from v=0 to v=v and t=0 to t=t)
mv = m(a0e-bt)/-b
(dx/dt) = (a0e-bt)/-b
∫dx = ∫(a0e-bt)/-b dt (from x=0 to x=x and t=0 to t=t)
x(t) = a0e-bt/b2
touche sir. That does not make sense. ahh i see now
Question was F(t) = ma0e-bt
now i know why it is a0
so in this case acceleration a = a0e-bt
but i'm still stuck! How do i get to x(t)?
yeah...
this is what i tried
F(t) = m(dv/dt) e-bt
F(t)ebtdt = mdv
∫F(t)ebtdt = ∫mdv (with bounds t=0 to t=t, and v=0 to v=v)
∫F(t)ebtdt = mv (only integrating right side yields)
∫F(t)ebtdt = m(dx/dt)
[∫F(t)ebtdt]dt = dx (integrating both...
Homework Statement
A particle of mass m is subject to a force
F(t) = mae-bt
The initial position and speed are zero. Find x(t)
Homework Equations
The Attempt at a Solution
how would i begin to start this??