Homework Statement
Using Heisenberg's uncertainty principle, calculate the uncertainty in the position of a proton moving at a speed of (5.00±0.01) x 10^4 m/s.
Homework Equations
Δx\geq \frac{h}{4mΔv\pi}
The Attempt at a Solution
x\geq (6.626*10^-34)/(4pi(1.6726*10^-24)(5±0.01 *...
Good point (wow that was embarassing...)
K well I tried doing it and I still get cosx = 0:
y' = cosx(1-cosx) + sin2x
y' = cosx - cos2x + sin2x
0 = -cosx + cos2x - sin2x
0 = -cosx + cos2x
0 = cosx, x = pi/2, 3pi/2
UGH ): Thanks guys for putting up with me!
Hi micromass,
Thanks for your quick response! I'm not too sure what you mean by working it out...do I plug that back into the original equation? Am I solving for x?
Thanks!
Homework Statement
Sketch the graph of y = sinx(1-cosx) over [-2pi, 2pi]
Homework Equations
first derivative and second derivative
The Attempt at a Solution
y' = cosxsinx
0 = cosxsinx
x = pi/2, 3pi/2, 0, pi, 2pi
I know I have the sin values right (the answers say the same)...
Homework Statement
Find the maximum and minimum values of the function f(x) = 2sin2x-2sinx on the interval [-pi, pi]]Homework Equations
first derivativeThe Attempt at a Solution
f'(x) = 4sinxcosx-2cosx
0 = 2cosx (2sinx-1)
0 = 2sinx-1, sinx = 1/2, x = pi/6, 5pi/6
0 = 2cosx, cosx = 0, x = pi/2
I...
Homework Statement
Find the limit:
lim (tanx-1)/(x-pi/4)
x->pi/4
Homework Equations
tanx = sinx/cosx
The Attempt at a Solution
lim (sinx/cosx-1)/(x-pi/4)
x->pi/4
lim [(sinx-cosx)/cosx]/(x-pi/4)
x->pi/4
I have no idea what to do after this )...
Homework Statement
Find the limit:
lim (1-cos2x)/(xsinx)
x->0
Homework Equations
Identities
The Attempt at a Solution
I've done this over and over and over again! The answer is supposed to be 0 but I keep getting 2 ):
lim (1-cos2x)/(xsinx)
x->0
lim...
Goodness I hope I'm doing it right this time, thanks for bearing with me.
f'(x) = f'(g(x)) * g'(x)
f'(x) = f'(-x) * (-1)
f'(x) = -f'(-x)...= f'(x)?
God I'm feeling so dumb right now ):!
IF I am doing this right...
f(x) = f(-x)
f' (x) = f'(-x) + f(-1) derivative of outer function times inner function plus outside function times derivative of inside function o.O?
Thank you for your patience (:!