Recent content by onie mti

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    MHB Fermats Principle: Find Time of Travel Along Path APB

    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...
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    MHB How are Moments and Products of Inertia Related to the Center of Mass?

    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?
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    MHB Why is a boundary condition at x=0 redundant for this Cauchy problem?

    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
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    MHB Calculating the radius of a planet

    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
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    MHB Determining Stability of Equilibrium Point for x'=y-x3-xy2, y'=-x-x2y-y3

    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
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    MHB Solving Polar Coordinates in System of Equations

    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
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    MHB Lip Functions: Partial Derivatives on Ball Br(p)

    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
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    MHB Scaled applied forces for an elastic rod

    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...
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    MHB How Can You Solve the Scaled Transport Equation in the First Quadrant?

    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:(
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    MHB How can I find the kernel of a homomorphism of finite groups?

    thanks a lot. :o
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    MHB How can I find the kernel of a homomorphism of finite groups?

    I do not follow from the point where you said k=8t, why are we saying that
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    MHB How can I find the kernel of a homomorphism of finite groups?

    i was given that Z8 to Z4 is given by f= 0 1 2 3 4 5 6 7 0 1 2 3 0 1 2 3 where f is homomorphism. how can i find the kernal K
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    MHB Understanding Finite Quotient Groups: G/H with G=Z6 and H=(0,3)

    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?
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    MHB Using dihedral group in Lagrange theorem

    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? - - - Updated - - - yes that is all i was given
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    MHB Proof that Ha=Hb: Element y in Hb Proven True for Ha

    yes I am supposed to show that every y in Hb is in Ha thefore Ha=Hb