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NIMCET Previous Year Questions (PYQs)

NIMCET Maxima And Minima PYQ


NIMCET PYQ 2022
Suppose that the temperature at a point (x,y), on a metal plate is T(x,y)=4x24xy+y2, An ant, walking on the plate, traverses a circle of radius 5 centered at the origin. What is the highest temperature encountered by the ant?





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NIMCET PYQ 2022
A particle is at rest at the origin. It moves along the x −axis with an acceleration xx2 , where x is the distance of the particle at time t. The particle next comes to rest after it has covered a distance





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NIMCET PYQ 2024
Consider the function f(x)={x3+3x2+1,ifx2cosx,if2<x4ex,ifx>4
  Which of the following statements about f(x) is true:





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NIMCET PYQ 2021
The function f(x)=x1+xtanx , 0xπ2 is maximum when 





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NIMCET PYQ 2017
The maximum value of 4 sinx + 3 cosx + sin(x/2) + cos(x/2) is





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NIMCET PYQ 2017
The critical point and nature for the function f(x, y) = x2 –2x + 2y2 + 4y – 2 is





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NIMCET PYQ 2020
If  , then x = 0 is





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