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MCA NIMCET Previous Year Questions (PYQs)

MCA NIMCET Maxima And Minima PYQ

MCA NIMCET PYQ
Suppose that the temperature at a point (x,y), on a metal plate is $T(x,y)=4x^2-4xy+y^2$, 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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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2022 PYQ

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MCA NIMCET PYQ
A particle is at rest at the origin. It moves along the x −axis with an acceleration $x-x^2$ , 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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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2022 PYQ

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MCA NIMCET PYQ
Consider the function $$f(x)=\begin{cases}{-{x}^3+3{x}^2+1,} & {if\, x\leq2} \\ {\cos x,} & {if\, 2{\lt}x\leq4} \\ {{e}^{-x},} & {if\, x{\gt}4}\end{cases}$$  Which of the following statements about f(x) is true:





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2024 PYQ

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MCA NIMCET PYQ
The function $f(x)=\frac{x}{1+x\tan x}$ , $0\leq x\leq\frac{\pi}{2}$ is maximum when 





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

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MCA NIMCET PYQ
The maximum value of 4 sin2 x + 3 cos2 x + sin(x/2) + cos(x/2) is





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2017 PYQ

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





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2017 PYQ

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MCA NIMCET PYQ
A condition that $x^{3} + ax^{2} + bx + c$ may have no extremum is





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2014 PYQ

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MCA NIMCET PYQ
If  , then x = 0 is





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2020 PYQ

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MCA NIMCET PYQ
Two non-negative numbers whose sum is 9 and the product of the one number and square of the other number is maximum, are





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2014 PYQ

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