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

If $$I_n=\int \tan ^n x d x$$, and $$I_0+I_1+2 I_2+2 I_3+2 I_4 +I_5+I_6=\sum_\limits{k=1}^n \frac{\tan ^k x}{k}$$, then $$n=$$

A
6
B
5
C
4
D
3
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