How do I find the time of travel along a path say APB of tetha and show it's maximum at P= P(0) considering a ray of light traveling in a vacuum from A to B with reflection at P in the same vertical and as A and B, according to the law of reflection,the actual path goes via point P(0) at the...
I am working on this problem, they say if moments and products of inertia are computed with respect to the center of mass, the
H(c)= -I(yz)ŵe(y) - I(xz)ŵe(x) + I(z)ŵe(z) how can I prove this?
I have this cauchy problem
U_t(x,t)= c_0[tanhx]u_x(x,t)=0
U(x,0)= u_0(x)
I managed to prove that it has at most one solution my question is why would it be redundant to have a boundary condition at x=0
If you have an object that undergoes a free fall from on a planet Mars which experiences a gravitational acceleration of magnitude 3,8m/s(squared) the mass of mass is given to be 6,4*10^i23kg. Please how do I find the radius of mars
i have this system
x'=y-x3-xy2
y'=-x-x2y-y3
i worked it out and found the equilibrium point to be 0.
how do i determine whether it is stable, assymp stable or not stable
given that
x'=f(x,y)
y'=g(x,y)
iff the vector function (r, θ) is a sloution of the system
r'=f(rcosθ,rsinθ)cosθ +g(rcosθ,rsinθ)sinθ
am trying to show that this is true but i just don't get where the sinθ and cosθ come from, how do i get to that
Can i get an idea of how to show that if the partial derivates of the components of a Rn-Rn function f are boounded on a ball Br(p) then f is Lip on the ballI defined f to be a Rn-Rn function defined on a set D
am having difficulty in understanding this problem and frankly I don't know how to approach it, please assist on how to solve itThey say that an elastic rod is modeled as the half time[0,infinity). initially it is at rest. at the end point x=o, a force f(t) is applied then they give me the...
am given a scaled transport equation
ut(x,t) + ux(x,t)=0 x>0; t>0
u(x,0)=0 x>0
u(0,t)= sint t>0
how can I begin to find a solution in the quadrant {x.0,t>0} to this problem, am really struglling:(
G is a group and H is a normal subgroup of G.
where G=Z6 and H=(0,3)
i was told to list the elements of G/H
I had:
H= H+0={0,3}
H+1={14}
H+2={2,5}
now they are saying H+3 is the same as H+0, how so?
what you are saying kind of makes sense. you see what is confusing me the the group elements do not contain c-1 yet they sayn c-1 = c3 how so?
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yes that is all i was given