Identify the correct option(s):
A. A modulus function is continuous at every point in its domain. B. A modulus function may or may not be continuous at every point in its domain. C. Every rational function is continuous in its domain. D. If a function $f$ is differentiable at a point then it is also continuous at that point. E. If a function $f$ is continuous at a point then it is also differentiable at that point.
Choose the correct answer from the options given below:
Previous 10 Questions — CUET UG 2022 Applied Mathematics
Nearest first
1
2
3
4
5
6
7
8
9
10
If $A=\begin{bmatrix}2 & 1 & 0 \\ 3 & 1 & 2 \\ 0 & 4 & -1\end{bmatrix}$, then $|adj(A)|$ is equal to:
Topic: CUET UG 2022 Applied Mathematics
If
$A=\begin{bmatrix}
\cos\alpha & \sin\alpha \\
-\sin\alpha & \cos\alpha
\end{bmatrix}$
then:
Topic: CUET UG 2022 Applied Mathematics
Match List I with List II List I List II A. The range of $\sin^{-1}x$ is I. $\left[-\frac{\pi}{2},\…
Topic: CUET UG 2022 Applied Mathematics
$\tan^{-1}\left[2\sin\left\{2\cos^{-1}\left(\frac{\sqrt{3}}{2}\right)\right\}\right]$
Topic: CUET UG 2022 Applied Mathematics
Match List I with List II List I List II A.
$R={(x,y)\mid x \text{ and } y \text{ are students of the sa…
Topic: CUET UG 2022 Applied Mathematics
A cable network provider in a small town has $500$ subscribers and he used to collect Rs. $300$ per month from each sub…
Topic: CUET UG 2022 Applied Mathematics
What is increase in charges per subscriber that yields maximum revenue?
Topic: CUET UG 2022 Applied Mathematics
A cable network provider in a small town has $500$ subscribers and he used to collect Rs. $300$ per month from each sub…
Topic: CUET UG 2022 Applied Mathematics
Based on the above information, total revenue $R$ (in Rs.) is given by:
Topic: CUET UG 2022 Applied Mathematics
A cable network provider in a small town has $500$ subscribers and he used to collect Rs. $300$ per month from each sub…
Topic: CUET UG 2022 Applied Mathematics
Next 10 Questions — CUET UG 2022 Applied Mathematics
Ascending by ID
1
2
3
4
5
6
7
8
9
10
If
$f(x)=
\begin{cases}
\frac{\sqrt{1-\cos2x}}{x\sqrt2}, & x\ne0 \\
k, & x=0
\end{cases}$
then the value of $k$ will …
Topic: CUET UG 2022 Applied Mathematics
If $y=\log(\sec e^{x^2})$, then $\frac{dy}{dx}=$
Topic: CUET UG 2022 Applied Mathematics
If $y = e^{\log(\sin^{-1}(x))} + e^{\log(\cos^{-1}(x))},\; 0 < x < 1$ then
Topic: CUET UG 2022 Applied Mathematics
Match List I with List II List I List II A. $\int \frac{1}{x+\sqrt{x}}\,dx$I. $2\sqrt{x}+C$ B…
Topic: CUET UG 2022 Applied Mathematics
The order of the differential equation whose general solution is $y = e^x (a\cos x + b\sin x)$, where $a$ an…
Topic: CUET UG 2022 Applied Mathematics
$\frac{d}{dx}\left[\int_{0}^{2a} f(\sin 2x)\,dx\right] =$
Topic: CUET UG 2022 Applied Mathematics
$\int \tan x(\sec x - \tan x)\,dx =$
Topic: CUET UG 2022 Applied Mathematics
If $\cos\alpha,\cos\beta,\cos\gamma$ are the direction cosines of vector $\vec a$, then value of
$\cos 2\alpha + \cos …
Topic: CUET UG 2022 Applied Mathematics
The value of$\mathbf{i}\cdot(\mathbf{j}\times\mathbf{k})+\mathbf{j}\cdot(\mathbf{i}\times\mathbf{k})+\mathbf{k}\cdot(\m…
Topic: CUET UG 2022 Applied Mathematics
The corner points of the feasible region for an L.P.P are$(2,0),(7,0),(4,5),(0,3)$and$z=2x+3y$is the objective function…
Topic: CUET UG 2022 Applied Mathematics
