## Aspire's Library

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## NIMCET Previous Year Questions (PYQs)

#### NIMCET Maxima And Minima PYQ

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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#### Solution

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

NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

#### Solution

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

NIMCET Previous Year PYQNIMCET NIMCET 2021 PYQ

#### Solution

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

NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

#### Solution

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

NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

#### Solution

NIMCET PYQ
If , then x = 0 is

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Online Test Series, 