1
MHT CET 2021 21th September Evening Shift
+2
-0

The function $$f(x)=\log (1+x)-\frac{2 x}{2+x}$$ is increasing on

A
$$(-\infty, \infty)$$
B
$$(-5, \infty)$$
C
$$(-\infty, 0)$$
D
$$(-1, \infty)$$
2
MHT CET 2021 21th September Morning Shift
+2
-0

A body at an unknown temperature is placed in a room which is held at a constant temperature of $$30^{\circ} \mathrm{F}$$. If after 10 minutes the temperature of the body is $$0^{\circ} \mathrm{F}$$ and after 20 minutes the temperature of the body is $$15^{\circ} \mathrm{F}$$, then the expression for the temperature of the body at any time $$\mathrm{t}$$ is

A
$$\mathrm{T}=-60 \mathrm{e}^{-0.069 \mathrm{t}}-30$$
B
$$\mathrm{T}=-60 \mathrm{e}^{-0.03010 \mathrm{t}}+30$$
C
$$\mathrm{T}=60 \mathrm{e}^{-0.069 t}+30$$
D
$$\mathrm{T}=60 \mathrm{e}^{-0.069 \mathrm{t}}-30$$
3
MHT CET 2021 21th September Morning Shift
+2
-0

A stone is thrown into a quite lake and the waves formed move in circles. If the radius of a circular wave increases at the rate of 4 cm/sec, then the rate of increase in its area, at the instant when its radius is 10 cm, is _________ cm$$^2$$/sec.

A
80 $$\pi$$
B
10 $$\pi$$
C
8 $$\pi$$
D
40 $$\pi$$
4
MHT CET 2021 21th September Morning Shift
+2
-0

The function $$f(x)=\cot ^{-1} x+x$$ is increasing in the interval.

A
$$(-\infty, \infty)$$
B
$$(0,3)$$
C
$$(1, \infty)$$
D
$$(-1, \infty)$$
MHT CET Subjects
Physics
Mechanics
Optics
Electromagnetism
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Calculus
Coordinate Geometry
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