Recent content by Inveritatem

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    Electric Flux of Two Hemispheres with different radii

    Homework Statement Two hemispherical surfaces, 1 and 2, of respective radii r1 and r2, are centered at a point charge and are facing each other so that their edges define an annular ring (surface 3), as shown. Homework Equations The field at position r⃗ due to the point charge is: E⃗ (r⃗...
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    Finding maximum and minimum values of 3 dimensional function

    Sorry for the late reply. How does using the fact that the sum of the squares + linear establish that (1,2,2) is the global min? We were told to use geometry to show what the min and max are because we do not use advanced calculus to prove these mins and maxes? How can we use geometry/equations...
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    Finding maximum and minimum values of 3 dimensional function

    Homework Statement Find the maximum and minimum values of f(x,y,z) = x^2 - 2x + y^2 - 4y + z^2 - 4z in the region x^2 + y^2 + z^2 <= 36. Homework Equations Lagrange multipliers The gradient of f = lambda * gradient of g <Fx, Fy, Fz> = lambda<Gx, Gy, Gz> Test for local extrema If Determinant...
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    Finding normal and tangential acceleration

    Thank you so much! I didn't get what you were saying at first but your edit made it very clear. Thank you!
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    Finding normal and tangential acceleration

    Can someone please move this to the physics homework forum? I think it wouldve been more appropriate for me to post over there.
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    Finding normal and tangential acceleration

    Homework Statement A point moves along the curve y = x3 + x such that the vertical component of velocity is always 3. Find the tangential and normal components of acceleration at the point P(2,10). Homework Equations Tangential Acceleration - aT(t) = v(t) ⋅ a(t)/ magnitude of velocity vector...