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Define neighbourhood of a point in a plane
State the necessary condition for the extreme value.
Define Continuity of a function f(x,y) at a point (a,b) ?
Differentiate pure and applied Mathematics
if the length of the cycloid is 4 times the diameter of a rotating circle, then the area under the arch traced out by that cycloid is how many times the area of therotating circle?
What is the integral value of sec(square)x, with upper limit 180/4 and lower limit 0 ?
What is the total angular distance in degrees over a sphere?
The members a,b,12 forma geometric progression and the nos a,b,9 form an arithmetic progression. find the value of a+b
State the working rule to determine extreme value of the function f(x,y)
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If you start with 1 bacterium and double the number every 15 minutes, how many bacteria will you have at the end of 3 hours and 45 minutes?
State and prove sufficient condition for differentiability of the function f(x,y).
If c = a/b; a-1 = c, what is the relation between a and b?
Using an x- y coordinate axis, a parabola is represented by the equation x2 = 6y. The vertex of this parabola is at what coordinate point.
Cite an example from life to explain the aesthetic value of Mathematics
