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

1

If $y=\left(\frac{1}{x}\right)^x$, then value of $e^e\left(\frac{d^2 y}{dx^2}\right)_{x=e}$ is:

Topic: CUET UG 2022 Applied Mathematics

2

The number of all possible matrices of order $2 \times 2$ with each entry $0$ or $1$ is:

Topic: CUET UG 2022 Applied Mathematics

3

Let A and B be two non-zero square matrices and AB and BA both are defined. It means

Topic: CUET UG 2022 Applied Mathematics

4

If $A=\begin{bmatrix}2 & -3 \\ 3 & 5\end{bmatrix}$, then which of the following statements are correct?A. A is …

Topic: CUET UG 2022 Applied Mathematics

1

$\int \frac{dx}{x(x^5+3)}$ is equal to

Topic: CUET UG 2022 Applied Mathematics

2

If $\int \frac{x^3}{x+1},dx=q(x)-\log|x+1|+C$ then $q(x)$ is equal to:

Topic: CUET UG 2022 Applied Mathematics

3

$\int_{-1}^{1}(|x-2|+|x|),dx=$

Topic: CUET UG 2022 Applied Mathematics

4

If $a$ and $b$ are order and degree of differential equation $y''+(y')^2+2y=0$, then value of $2a+6b$ is:

Topic: CUET UG 2022 Applied Mathematics

5

The solution of the differential equation $xdy-ydx=0$ represent family of

Topic: CUET UG 2022 Applied Mathematics

6

For differential equation $y e^{\frac{x}{y}},dx=(x e^{\frac{x}{y}}+y^2),dy$, $y(0)=1$, the value of $x(e)$ is equal t…

Topic: CUET UG 2022 Applied Mathematics

7

$\int_{-1}^{1} e^{|x|},dx=$

Topic: CUET UG 2022 Applied Mathematics

8

For two events $A, B$$P(A\cup B)=\frac{7}{12}, ; P(A)=\frac{5}{12}, ; P(B)=\frac{3}{12}$Then $P(A\cap B)=$

Topic: CUET UG 2022 Applied Mathematics

9

The probability distribution of $X$ is: x 01 2 3 4  p(X= x) 0.12k k k…

Topic: CUET UG 2022 Applied Mathematics

10

The number at unit place of number $17^{123}$ is:

Topic: CUET UG 2022 Applied Mathematics