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To apply for BCom at Radha Govind University, visit the official website, click “Online Admission, ” register with your details, and log in using credentials sent via SMS/email. Upload Class 10 and 12 marksheets, a photo, ID proof, pay the application fee, and submit the form. Ensure all steps are completed accurately for successful application.

  $\overrightarrow{a}\times \overrightarrow{b}=\left|\begin{array}{ccc}\hfill \widehat{i}\hfill & \hfill \widehat{j}\hfill & \hfill \widehat{k}\hfill \\ \hfill \alpha \hfill & \hfill 1\hfill & \hfill \beta \hfill \\ \hfill 3\hfill & \hfill -5\hfill & \hfill 4\hfill \end{array}\right|=\left(4+5\beta \right)\widehat{i}+\left(3\beta -4\alpha \right)\widehat{j}+\left(-5\alpha -3\right)\widehat{k}$                

Compare with  $\overrightarrow{a}\times \overrightarrow{b}=-\widehat{i}+9\widehat{j}+12\widehat{k}$  

b = -1, a = -3

Projection of  $\overrightarrow{b}-2\overrightarrow{a}on\overrightarrow{b}+\overrightarrow{a}$  

$=\frac{\left(\overrightarrow{b}-2\overrightarrow{a}\right).\left(\overrightarrow{b}+\overrightarrow{a}\right)}{\left|\overrightarrow{b}+\overrightarrow{a}\right|}$   

When we talk about elastic materials, we're referring to those that really show off their elasticity. Think of natural rubber, synthetic polymers, including spandex (also known as Lycra) and nylon, and even metals such as spring steel when they're within their elastic limits. These materials are quite resilient. They can store potential energy and bounce back to their original shape after being stretched or compressed. This behaviour is determined by the Hooke's Law.

tangent at (2t², 4t) is ty = x + 2t²,

It passes through (5, 7)

$2t^2-7t+5=0\Rightarrow t=1,\frac{5}{2}$                

$P\left(2t^2,4t\right)$ will be (2, 4), $\left(\frac{25}{2},0\right)$  

Seat allocation into MBA courses at Mahatma Jyoti Rao Phoole University are done after the final committe has rendered its decision on the admission of the applicants. The decision of the committee is rendered after the candidates have appeared for the personal interview round. To confirm the seat allottment made to the candidate, the admission fees for Mahatma Jyoti Rao Phoole University MBA courses must be paid.

Phrases are an important part of writing because they add flow, clarity, and emotion to a sentence. Here is how they can improve their writing:

• Can make writing appear more conversational and natural
• Improves clarity and makes the sentences precise
• They help connect ideas smoothly
• Can add style and expressions
• Phrases can help one say the same idea in a number of ways. For example: Instead of repeating “I think”, one can say “It seems to me…”, “In my opinion…”, “From my perspective…”

The entry tests organized by Calcutta University, including CUEE, are of average difficulty. Tests like WBJEE or CAT that are required for professional courses are competitive in nature. Syllabus-based and previous paper preparation assists in clearing the entry. Calcutta University provides equitable testing to suitable candidates.

The university has not officially announced the last date to apply for the BCom course yet. However, students can expect the application window to close very soon. Therefore, eligible candidates are strongly advised to apply as early as possible to avoid missing the opportunity. Keep checking the official website for timely updates.

Elastic energy is stored in objects that can deform. They have several applications, including springs in vehicle suspension systems and wind-up clocks. This potential energy, present in items like stretched rubber bands, trampolines, and an archer's bow, is converted to kinetic energy upon release.

$\frac{dy}{dx}-y=x,$  linear differential equation.

IF = e^-x

$y.e^{-x}={\displaystyle \int x{e}^{-x}dx=-e^{-x}\left(x+1\right)+C}$                

$y=-\left(x+1\right)+C.e^x$                

$y_2\left(x\right)=-\left(x+1\right)+2e^x$                

y₂ > y₁, no solution.

Yes, admissions for the BCom programme at Radha Govind University are currently open. Students who have passed Class 12 and meet the eligibility criteria should apply without delay. Since seats may fill quickly, it's important to complete the application process soon by visiting the university's official website.

GEMS B School, Coimbatore admission chances depend based on multiple parameters. Students can get into the courses offered at the institute provided they satisfy the admission criteria for the desired programme. Further, as selections are based on the online admission test conducted by the institute, it is important that students clear that as well. Eligible students can get into the institute with the right amount of preparation and strategy.

In simple language, a Phrase is a group of words that work together as a single unit in a sentence. It does not contain a subject and a verb. It communicates a concept but is not a full sentence. Phrases are used in everyday English. They make the sentences richer by giving the words context, clarity, and details.

Example of a Phrase is given below:

• It is nice of you to say so
• How old are you?
• It is next to the bank
• Have a nice day
• How can I help you?
• Keep up the good work!

Yes, JCECE the official exam conducting body for Jharkhand ANM/GNM exam 2025 has released the answer key on the official website on July 29, 2025. Candidates can also check and download the Jharkhand ANM/GNM answer key 2025 through the direct link provided below:

Jharkhand ANM 2025 Answer Key: DOWNLOAD NOW

Jharkhand GNM 2025 Answer Key: DOWNLOAD NOW

The Jharkhand ANM/GNM answer key was released to help candidates know their predictive scores before the result is announced. Candidates can check their performance through the Jharkhand ANM/GNM answer key which has been released seperately for the ANM and GNM course. 

You may get direct admission in Calcutta University's UG courses with 75% in Class 12 if the selection criteria is merit-based only. For admission to courses, such as BBA, BFA, BMS, etc., students are selected on merit basis and can apply online. However, this does not apply to all the courses since the university also accepts entrance-based admissions to few courses. 

${\left(x+2\sqrt[]{3}\right)}^2+y^2=4^2$                

$y^2=8\left(x+\frac{1}{2}\right)$

Point of intersection are (0, 2) and (0, -2)

  $2{\displaystyle \underset{0}{\overset{2}{\int }}\left[\left(\sqrt[]{16-y^2}-2\sqrt[]{3}\right)-\frac{\left(y^2-4\right)}{8}\right]dy}$              

  $=\frac{1}{3}\left(8\pi +4-12\sqrt[]{3}\right)$

Candidates looking for admission must complete at least Class 12. For BTech course admission, students are selected based on Class 12 with a 50% aggregate. To enroll for the UG course admission at Calcutta University, candidates are selected based on merit or entrance exam scores. 

Yes, Calcutta University does accept entrance exam scores for admission in the various courses offered. These include- WBJEE for BTech, CAT/MAT/XAT, etc. for MBA. Various other exams are accepted for different courses. 

Yes, students must pay additional charges apart from the INR 24,000 tuition fee. These include an admission form fee of INR 500, a registration fee of INR 500, and admission and other charges totaling INR 2,500. Additionally, an examination fee of INR 700 is applicable for every semester during the course.