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SURA PUBLICATION-DIFFERENTIALS AND PARTIAL DERIVATIVES -EXERCISE 8.6
- If u(x,y) =x^(2)y + 3xy^(4), x = e^(t) and y= sin t, find (du)/(dx) an...
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- If u(x,y,z) =xy^(2)z^(3), x= sin t, y = cos t, z=1 + e^(2t), find (du)...
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- If w(x,y,z) =x^(2) + y^(2)+ z^(2), x=e^(t), y=e^(t) sin t and z=e^(t) ...
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- Let U(x,y,z) = xyz, x=e^(-t), y=e^(-t) cos t, z= sin t, t in R. Find (...
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- If w(x,y) =6x^(3) - 3xy + 2y^(2) , x =e^(s), y= cos s in R, find (dw)/...
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- If z(x,y) =x tan^(-1)(xy), x=t^(2), y=se^(t), s, t in R, Find (del z)/...
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- Let U(x,y) =e^(x) sin y, where x=st^(2), y =s^(2) t, s, t in R. Find (...
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- Let z(x,y) =x^(3) - 3x^(2)y^(3), where x = se^(t), y =se^(-t), s, t in...
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- W(x,y,z) = xy + yz + zx, x = u - v, y = uv, z = u + v, u, v inR. Find ...
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