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A circular plate expands uniformly under the influence of heat. If it's radius increases from 10.5 cm to 10.75 cm, then find an approximate change in the area and the approximate percentage change in the area.

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The correct Answer is:
`=0.4975%`
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PREMIERS PUBLISHERS-DIFFERENTIALS AND PARTIAL DERIVATIVES-PROBLEMS FOR PRACTICE
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  2. The percentage error of the seventh root of 700 is approximate how man...

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  3. If u = log ((x ^(2) y + y ^(2) x)/(xy)) then x (del u)/( del x) + y (...

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  4. If z =e^((x +y)/(x -y)) then x (del xz)/(del x) + y (del z)/(dely)=

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  5. If w(x,y) =x^(y), x gt 0, then (del w)/(del x) is equal to

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  6. If u= y sin x then (del^(2)u)/(del x del y)=

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  7. If u = (1)/(root 3 (x^(3) + y ^(2))) then x (del u)/(del x) + (del u )...

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  8. If f (x,y) =e ^(xy) then (del^(2)f)/(delx dely) at (1,1) is:

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  9. A cube of side is without the top. If the edge length varies from x (0...

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  10. If u=f(y/x), then x(del u)/(del x) + y(del u)/(del y)=

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  11. If x = r cos theta, u = r sin theta then (del theta)/(del x) is:

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  12. If f (x,y) =x ^(2) + xy+y ^(2),x =t ,y=t ^(2) then (df )/(dt)=

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  13. If f (x) =(1)/(x +1) then its differentiate is given by :

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  14. If u (x,y) =x ^(2) + 2xy-y ^(2) then (del u)/(del x) + (delu)/(del y) ...

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  15. Linear approximation of f (x) = 2x^(2) + 3x at x =1 is:

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  16. The approximate value of sqrt (9.2) is:

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  17. If the absolute error while calculating the absolute error in volume o...

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  18. lim ((x,y) to(1,0))(x ^(2) + y ^(2))/(x - 2y ) is :

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  19. f (x,y)=sin ^(-1) ((x)/(y)) + tan ^(-1) ((y)/(x)) is homogeneous funct...

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  20. A function f (x,y) is said to be harmonic if (del^(2)f)/(del x ^(2)) +...

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  21. If f (x,y) =e ^(2x+3y) find 3f(x) (0,0) - 2f(y) (0,0):

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