1
KCET 2021
MCQ (Single Correct Answer)
+1
-0

The cost and revenue functions of a product are given by $$c(x)=20 x+4000$$ and $$R(x)=60 x+2000$$ respectively, where $$\mathrm{x}$$ is the number of items produced and sold. The value of $$x$$ to earn profit is

A
> 50
B
> 60
C
> 80
D
> 40
2
KCET 2021
MCQ (Single Correct Answer)
+1
-0

A particle starts form rest and its angular displacement (in radians) is given by $$\theta=\frac{t^2}{20}+\frac{t}{5}$$. If the angular velocity at the end of $$t=4$$ is $$k$$, then the value of $$5 k$$ is

A
0.6
B
5
C
5k
D
3
3
KCET 2021
MCQ (Single Correct Answer)
+1
-0

The function $$f(x)=x^2-2 x$$ is strictly decreasing in the interval

A
$$(-\infty, 1)$$
B
$$(1, \infty)$$
C
$$R$$
D
$$(-\infty, \infty)$$
4
KCET 2021
MCQ (Single Correct Answer)
+1
-0

The maximum slope of the curve $$y=-x^3+3 x^2+2 x-27$$ is

A
1
B
23
C
5
D
$$-$$23
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