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FULL MARKS-DIFFERENTIALS AND PARTIAL DERIVATIVES -Additional Questions Solved
- Using differentials, find the approximate value of each of the followi...
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- Using differentials, find the approximate value of each of the followi...
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- Find approximate value of f (5.001) where f(x) =x^3-7x^2+15 .
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- If the radius of a sphere , is measured as 7m with an error of 0.02 m ...
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- Find the differential dy and evaluate dy for the given values of x an...
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- The edge of a cube was found to be 30 cm with a possible error in meas...
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- The radius of a circular disc is given as 24 cm with a maximum error i...
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- If u = log (tan x + tan y + tanz) , prove that sum sin 2x (delu)/(de...
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- If U = (x-y) (y-z) (z-x) then show that Ux+Uy+Uz = 0
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- If u=x^2+3xy+y^2 Verify (del^2u)/(delxdely)=(del^2u)/(delydelx).
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- If u = x/y^2- y/x^2 , show that (del^2u)/(delxdely)=(del^2u)/(delydelx...
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- Suppose that z=ye^(x^2) where x = 2t and y = 1 then find (dz)/(dt)
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- If w=x+2y+z^2and x= cos t , y = sin t, z = t Find (dw)/(dt) .
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- If f(x,y) = 1/(sqrt(x^2+y^2)) then show that x(delf)/(delx)+y(delf)/...
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- Using Euler's theorem , prove that x(delu)/(delx)+y(delu)/(dely)=1/2ta...
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- If u= x^y then is equal to ..........
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- If u= sin^(-1)((x^(4) + y^(4))/(x^(2) + y^(2))) and f= sin u then f is...
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- If u=1/(sqrt(x^2+y^2)) , then x(delu)/(delx)+y(delu)/(dely) is equal t...
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- The curve y^2(x-2)=x^2(1+x) has .......
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- If x= r cos theta, y = r sin theta, then (del r)/(del x)=
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