State and prove Taylor's theorem for f(x,y)
State the necessary condition for the extreme value.
Under what condition the critical point (a,b) will be saddle point ?
Define Continuity of a function f(x,y) at a point (a,b) ?
State and prove the sufficient condition for the maximum value of the function f (x,y)
State Taylor's theorem and hence obtain Macluarin's expansion in simplified form
State and prove sufficient condition for differentiability of the function f(x,y).
Find the rectangle of perimeter 12cm which has maximum area.
Define simultaneous limit of a function f(x,y) as (x,y) → (a,b)
State and prove mean value theorem for the function f(x,y).
Write the condition for critical point (a,b) to become function f(x,y) minimum.
State sufficient condition for differentiability of a function f(x,y) at a point (a,b)
What are the different types of fits? Explain
what is heat treatment and why is it done?
describe briefly the different cold drawing processes?