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$P\left(E_1/E_2\right)=\frac{1}{2},\Rightarrow \frac{P\left(E_1\cap E_2\right)}{P\left(E_2\right)}=\frac{1}{2}$ f

$P\left(E_2/E_1\right)=\frac{3}{4}$ $P\left(E_1\right)=\frac{1}{6}$

$P\left(E_1\cap E_2\right)=\frac{1}{8}$ $P\left(E_2\right)=\frac{1}{4}$

$P\left(E_1\cup E_2\right)=\frac{1}{6}+\frac{1}{4}-\frac{1}{8}=\frac{4+6-3}{24}=\frac{7}{24}$

Yes, currently, admissions are open at Shivaay Institute of Hospitality Management. SIHM admissions are currently open for all courses. Candidates are selected for courses based on merit. Aspirants can apply online. Interested candidates meeting the eligibility criteria can fill out the form. 

The institute has not released the course-wise placements as of yet. Check out the information on the overall SRM Easwari Engineering College placements 2023-2025 from the table below:

SIHM admits students based on merit. The institute offers BVoc, BSc, MHM, etc. courses. Shivaay Institute of Hospitality Management admits students based on merit. To get admission at SIHM, candidates must meet the eligibility criteria set by the college. 

The institution has been providing good placements. For more information on the overall SRM Easwari Engineering College placements 2023-2025, refer to the table below:

The SRM Easwari Engineering College has not released the BTech placements as of yet. For more information on key takeaways for the SRM Easwari Engineering College placements 2023-2025, refer to the table below:

  $f\left(x\right)+f\text{'}\left(x\right)+f\text{'}\text{'}\left(x\right)=x^5+64$

$\underset{x\to 1}{lim}\frac{f\left(x\right)}{x-1}\left(\frac{f\left(1\right)}{0}\right)f\left(1\right)=0$

Let f(x) = x⁵ + ax⁴ + bx³ + cx² + dx + e

f(1) = 0 Þ 1 + a + b + c + d + e = 0

  $\Rightarrow x^5+\left(a+5\right)x^4+\left(b+4a+20\right)x^3+\left(c+3b+12a\right)x^2+\left(d+2c+6b\right)x+e+d+2c=x^5+64$

Þ e + d + 2c = 64

b + 4a + 20 = 0                 c – 1 – a – b = 64

c + 3b + 12a = 0

d + 2c + 6b = 0                 a + b – c = -65

1 + a + b + c + d + e = 0   13a + 4b = -65

b + 4c = -20 × 4

-3a = 15 a = -5

$\begin{array}{l}f\left(x\right)=x^5-5x^4+60x^2-120x+64\\ f\text{'}\left(x\right)=5x^4-20x^3+12x-120\\ f\text{'}\left(1\right)=5-20+120-120=-15\end{array}$

The SRM Easwari Engineering College has been providing excellent placement opportunities. For more information the overall SRM Easwari Engineering College placements 2023-2025, refer to the table below:

Shivaay Institute of Hospitality Management admissions 2025 are open online. Since the admission is open, candidates can apply. To get admission to the Shivaay Institute of Hospitality Management, candidates must meet the eligibility criteria set by the college. The application process at the SIHM is conducted online.

In total, over 800 recruiters took part during the SRM Easwari Engineering College placements 2025: Check out the table for more details:

${\overrightarrow{b}}_1\times {\overrightarrow{b}}_2=\left|\begin{array}{ccc}\hfill \widehat{i}\hfill & \hfill \widehat{j}\hfill & \hfill \widehat{k}\hfill \\ \hfill 1\hfill & \hfill -a\hfill & \hfill 0\hfill \\ \hfill 1\hfill & \hfill -1\hfill & \hfill 1\hfill \end{array}\right|$ = $-a\widehat{i}-\widehat{j}+\left(a-1\right)\widehat{k}$

${\overrightarrow{a}}_1-{\overrightarrow{a}}_2=-\widehat{i}+\widehat{j}+\widehat{k}$

Shortest distance = $\left|\frac{\left({\overrightarrow{a}}_1-{\overrightarrow{a}}_2\right).\left({\overrightarrow{b}}_1\times {\overrightarrow{b}}_2\right)}{\left|{\overrightarrow{b}}_1\times {\overrightarrow{b}}_2\right|}\right|$

$=\frac{2\left(a-1\right)}{\sqrt[]{a^2+1+{\left(a+1\right)}^2}}=\sqrt[]{\frac{2}{3}}=\frac{4{\left(a-1\right)}^2}{a^2+1+{\left(a-1\right)}^2}=\frac{2}{3}$

$12{\left(a-1\right)}^2=2\left(a^2+1\right)+2{\left(a-1\right)}^2$

$10{\left(a-1\right)}^2=2\left(a^2+1\right)$

$5a^2-10a+5=a^2+1\Rightarrow 4a^2-10a+4=0$

$2a^2-5a+2=0$

$\left(2a-1\right)\left(a-2\right)=0$

$\therefore a=\frac{1}{2},2$

The University of Minnesota, Twin Cities is the #1 ranked university in the state of Minnesota, per the latest Shiksha Popularity Ranking. The institute ranks among the top 50 universities in the US, securing a national rank #35, while also securing a global rank #125, per the latest Shiksha rankings.

Mayo Clinic College of Medicine & Science ranks #2 in Minnesota, and University of St Thomas rounds off the top 3 universities in Minnesota.

$t_n=\frac{1}{2^n.3^{11-n}}={\left(\frac{1}{3}\right)}^{11}.{\left(\frac{3}{2}\right)}^n$

$S_{10}={\left(\frac{1}{3}\right)}^{11}.\frac{\left(\frac{3}{2}\right).\left({\left(\frac{3}{2}\right)}^{10}-1\right)}{\frac{3}{2}-1}$

$=\frac{1}{3^{10}}.\frac{3^{10}-2^{10}}{2^{10}}$

$=1{+}^{10}{C}_1.2^1{+}^{10}{C}_2.2^2+....{+}^{10}{C}_9.2^9$

k = 21 + 6m -> R = 3

The SRM Easwari Engineering College has released the overall placements for 2025 but the branch-wise packages are yet to be released. For more information on the overall SRM Easwari Engineering College placements 2023-25, refer to the table below:

In the National Universities category by U.S. News & World Report, the University of Southern California ranks at #27 in 2025. Whereas, according to Times Higher Education (THE) rankings, this university ranks at #30 in 2025. This shows that this university ranks among the Top 50 Universities in the U.S.

During the SRM Easwari Engineering College placements 2025, more than 800 students got placed overall. Check out the table below for reference:

$R_2={\displaystyle \underset{0}{\overset{1}{\int }}\left(x-x^3\right)dx={\left(\frac{x^2}{2}-\frac{x^4}{4}\right)}_0^1}=\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

$R_1={\displaystyle \underset{0}{\overset{\frac{1}{4}}{\int }}\left(\sqrt[]{x}-2x\right)dx={\left(\frac{2x^{3/2}}{3}-x^2\right)}_0^{\frac{1}{4}}}=\frac{1}{12}-\frac{1}{16}$

$=\frac{4-3}{48}=\frac{1}{48}$

$R_1+R_2={{\displaystyle \underset{0}{\overset{1}{\int }}\left(\sqrt[]{x}-x^3\right)dx=\left(\frac{2x^{3/2}}{3}-\frac{x^4}{4}\right)}}_0^1=\frac{2}{3}-\frac{1}{4}=\frac{5}{12}$

$\frac{R_1+R_2}{R_1}=1+\frac{R_2}{R_1}=\frac{\frac{5}{12}}{\frac{1}{48}}=20$ $\therefore \frac{R_2}{R_1}=19$

 

The SRM Easwari Engineering College has had a strong record when it comes to placements for MBA. Refer to the table below for more placement details:

The University of Leeds is one of the top universities for international students in the United States. University of Leeds placement rate stands at is 91%, and the graduates are employed within 6 months of graduation. As per unofficial sources, the average graduate salary of the University of Leeds is GBP 28,000 (INR 32.74 L), each year. Leeds University graduates are working for top companies such as EY, Amazon, Sky, Aramco, UCL, Google, and more. Leeds University graduates are highly skilled in Marketing, Strategy, Strategic Planning, Sales, Business Development, and others.