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$\left\{\left(x+2\right)e^{\frac{y+1}{x+2}}+\left(y+1\right)\right\}dx=\left(x+2\right)dy.$              

  $\Rightarrow \frac{dy}{dx}=e^{\left(\frac{y+1}{x+2}\right)}+\left(\frac{y+1}{x+2}\right)-\left(i\right)$

(1) -> $v+\left(x+2\right)\frac{dv}{dx}=e^v+v.$  

$\Rightarrow \frac{dv}{e^v}=\frac{dx}{x+2}$ Integrating both side

Let $e^{e-2/3}=a\Rightarrow 0<\left|\frac{x+2}{3}\right|<a$  

$\therefore a=-3a-2\&\beta =3a-2$              

$\Rightarrow \left|\alpha +\beta \right|=4$               

As we all know that like charges repel each other. This means that there must be a repulsive electromagnetic force between positively charged protons. However, the nuclear force is said to be 100 times stronger than electromagnetic force which makes it strong enough to hold protons together within a nucleus. This nuclear force is much stronger than coulomb force at short ranges.

The United Group of Institutions, Greater Noida BBA tuition fees is INR 2.2 lakh. While, BBA tuition fees at SGIT School of Management is INR 1.8 lakh. Considering this, the SGIT BBA fees is slightly less in comparison to UGI Noida. However, during the college selection, candidates are encouraged to consider other factors as well. Some other crucial parameters are placement package, faculty, location, etc. Furthermore, the candidates are informed that the given fee is as per the official website/ sanctioning body. It is still subject to revision and hence, is indicative.

$f\left(x\right)=[\begin{array}{l}3\left(1-\frac{\left|x\right|}{2}\right);\left|x\right|\le 2\\ 0;\left|x\right|>2\end{array}$

$\therefore g\left(x\right)=f\left(x+2\right)-f\left(x-2\right)[\begin{array}{l}0x<-4\\ 3\left(1-\frac{\left|x-2\right|}{2}\right)-4\le x\le 0\\ -3\left(1-\frac{\left|x-2\right|}{2}\right)0<x\le 4\\ 0x>4.\end{array}$

g(x) is continuous every where but not differentiable

at x = -4, -2, 2 and 4

$\therefore n=0\&m=4\Rightarrow n+m=4$

Primus B School offers an MBA for 2 years in full-time mode. It is worth pursuing the respective course, considering the facilities provided alongside the course. The Institute offers placement assistance along with scholarship facilities for the students. Various industry collaborations and partnerships helps in securing placement and internship right after graduation. Admission to the respective course is offered on the basis of minimum aggregate of graduation.

There are nearly 55 institutes in Greater Noida that offers a BBA programme. At United Group of Institutions, Greater Noida, BBA is a three-year course offered in a full-time mode. The selection in this UG course is based on IPU CET scores. Besides, the eligibility criteria must be fulfilled. Some other college options in Greater Noida for a BBA programme are:

• Galgotias University
• GL Bajaj Institute of Management
• Lloyd Business School
• Bennett University, etc.

Cross product will represent a vector perpendicular to both the vector.

Dir. Of Motion of P : $=\left(\widehat{i}+\widehat{j}\right)\times \left(\widehat{j}\times \widehat{k}\right)$ $\stackrel{}{}\stackrel{}{}\stackrel{}{}\stackrel{}{}$

= $\widehat{k}-\widehat{j}+\widehat{i}$ $\stackrel{}{}\stackrel{}{}$

Dir. Of Motion of Q = $\left(\widehat{i}+\widehat{j}\right)\times \left(-\widehat{i}+\widehat{j}\right)$ $\stackrel{}{}\stackrel{}{}\stackrel{}{}\stackrel{}{}$

$=2\widehat{k}$

$cos\theta =\frac{\overrightarrow{a}.\overrightarrow{b}}{ab}=\frac{2}{2\sqrt[]{3}}=\frac{1}{\sqrt[]{3}}\Rightarrow \theta =co{s}^{-1}\left(\frac{1}{\sqrt[]{3}}\right)$

The important entrance exams for admission to the BBA programme at UIM, Karnavati University are CUET/ UGAT/ KUAT. Applicants need to qualify in at least one of these exams with a valid scorecard. Performance in these exams plays a significant role in shortlisting candidates for the next stages of the admission process.

For 90 mA in zener diode, current in R should be greater than 90 mA.

$\frac{45}{R}=90\times 10^{-3}\Rightarrow R=\frac{45}{90\times 10^{-3}}=500\Omega$

The BDS course at Manipal College of Dental Sciences, Mangalore is a 5 year program. Out of these 5 years, 4 years are spent to cover the Manipal College of Dental Sciences, Mangalore syllabus while the leftover year is spent on internships. Candidates are advised to visit the official website of Manipal College of Dental Sciences, Mangalore and checkthe BDS curriculum for their respective year.

Yes, the BBA admission process at UIM, Karnavati University for 2025 is open. Interested candidates should start preparing and keep track of important updates related to CUET/ UGAT/ KUAT, as these entrance exams are mandatory for selection. Staying informed about deadlines will help ensure a smooth and timely application process.

No, UGI Greater Noida BBA aspirants also need to have a valid IPU CET score for selection. The cutoff list/ closing rank for admission is announced as per the entrance test scores only. UGI Noida BBA cutoff varies every year as it is based on number of applicants, their IPU CET scores, seat intake, and more. 

Candidates seeking admission to the certificate and BVoc programme can enrol for admission with Class 12 marks. Candidates must complete Class 12 to enrol for various courses. The college offers more than 10 certificate courses. Zee Institute of Creative Art admissions are based on merit.

$i=\frac{\epsilon }{R+r}$

$v_R=\frac{\epsilon R}{R+r}$

$\frac{1.25=\frac{\epsilon \left(5\right)}{5+r}}{1=\frac{\epsilon \left(2\right)}{2+r}}$

r = 1

Using above equ : $\epsilon =\frac{3}{2}=\frac{15}{10}V$

Energy density (u) = $\frac{1}{2}\times \sigma \times \epsilon =\frac{1}{2}\times Y\epsilon \times \epsilon =\frac{1}{2}{\epsilon }^{2}Y$ $\frac{}{}\frac{}{}\frac{}{}{}^{}$

$\Rightarrow energystored/m^2=\frac{1}{2}{\epsilon }^{2}YA$

Strain $\left(\epsilon \right)=\frac{\Delta \mathcal{l}}{{\mathcal{l}}_0}=\alpha \Delta T=10^{-5}\times 10=10^{-4}$ $\frac{}{{}_{}}{}^{}{}^{}$

$\Rightarrow energystored/m^2=\frac{1}{2}\times 10^{-8}\times 10^{11}\times 10^{-2}=5$

The bag has 25-paise, 50-paise and 1 -rupee coins in the ratio 8 : 2 : 7. Now this is the ratio of the number of coins while the total value of the coins has been given. So we first need to convert coins into value.

Let the coins be 8x, 2x and 7x respectively.

8x coins of 1/4 rupee each = value is Rs. 2x.

2x coins of 1/2 rupee each = value is Rs. x.

7x coins of 1 rupee each = value is Rs. 7x.

Now

2x + x + 7x = 770

10x = 770 x = 77

Number of 25 paise and 50 coins = 10 x = 770 coins