1
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The maximum value of $$f(x)=\frac{x}{1+4 x+x^2}$$ is

A
$$1 / 4$$
B
$$1 / 5$$
C
$$1 / 6$$
D
$$1 / 7$$
2
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The minimum value of $$f(x)=x+\frac{4}{x+2}$$ is

A
$$-$$1
B
$$-$$2
C
1
D
2
3
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The condition that $$f(x)=a x^3+b x^2+c x+d$$ has no extreme value is

A
$$b^2-4 a c$$
B
$$b^2=3 a c$$
C
$$b^2<3 a c$$
D
$$b^2>3 a c$$
4
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Assertion (A) If $$I_n=\int \cot ^n x d x$$, then $$I_6+I_4=\frac{-\cot ^5 x}{5}$$

Reason (R) $$\int \cot ^n x d x=\frac{-\cot ^{n-1} x}{n} -\int \cot ^{n-2} x d x$$

A
A is false, R is false
B
A is true, R is true
C
A is true, R is false
D
A is false, R is true
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