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SEED 2026 Application is out for the B.Des Programme. The Application was started on August 01, 2025, and was open till November 30, 2025. Application for M.Des is out. The last date to fill the form is April 25, 2026.

f (t) = t³ – 6t² + 9t + 3

$\Rightarrow f\text{'}\left(t\right)=3t^2-12t+9=3\left(t-1\right)\left(t-3\right)$

$\therefore f\text{'}\left(t\right)=0\Rightarrow t=1,3$

$\Rightarrow f\left(1\right)=1,f\left(3\right)=-3$

$g\left(x\right)=\{\begin{array}{l}f\left(x\right),0\le x<1\\ 1,1\le x\le 3g\left(x\right)iscontinuous\\ 4-x,3<x\le 4\end{array}$

Hence g (x) is not differentiable at only x = 3.

The AEEE admit card 2026 for phase 1 exams was out on January 25. The admit card is generated after the slot booking is completed, and the candidates have to log in to the Amrita admission portal to doenload the admit card as soon as it is issued.

$\frac{1}{\alpha \left(\alpha +1\right)\left(\alpha +2\right)..........\left(\alpha +20\right)}=\frac{A_0}{\alpha }+\frac{A_1}{\alpha +1}+\frac{A_2}{\alpha +2}+......+\frac{A_{20}}{\alpha +20}$

Solving by partial fraction, we get

$A_{13}=\frac{-1}{14!7!},A_{14}=\frac{-1}{14!6!}and{A}_{15}=\frac{-1}{14!5!}$

$\therefore \frac{A_{14}+A_{15}}{A_{13}}=\frac{3}{10}\Rightarrow {\left(\frac{A_{14}+A_{15}}{A_{13}}\right)}^2={\left(\frac{3}{10}\right)}^2\Rightarrow 100{\left(\frac{A_{14}+A_{15}}{A_{13}}\right)}^2=9$

$\frac{log\left(\left(2x+5\right)\left(x+1\right)\right)}{log\left(x+1\right)}+\frac{log\left(x+1\right)}{log\left(2x+5\right)}-4=0\Rightarrow \frac{log\left(2x+5\right)}{log\left(x+1\right)}+\frac{log\left(x+1\right)}{log\left(2x+5\right)}-3=0$

$\Rightarrow x\in \left(-1,0\right)\cup \left(0,\infty \right)$

$\frac{log\left(2x+5\right)}{log\left(x+1\right)}=1\Rightarrow x=-4$ (not possible) and $\frac{log\left(2x+5\right)}{log\left(x+1\right)}=2\Rightarrow x=2$

Hence only one solution is possible.

${\displaystyle \int dy}={\displaystyle \int \frac{cos\left(\frac{1}{2}co{s}^{-1}\left(e^{-x}\right)\right)}{e^x\sqrt[]{1-{\left(e^{-x}\right)}^2}}}dxputcos2\theta =e^{-x}\Rightarrow -2sin2\theta d\theta =-e^{-x}dx$

$\therefore {\displaystyle \int dy}={\displaystyle \int \frac{2cos\theta sin2\theta d\theta }{\sqrt[]{1-co{s}^{2}2\theta }}\Rightarrow y=2sin\theta +c\Rightarrow y=-1,\theta =0,c=0}$

$\therefore y=2\sqrt[]{\frac{1-e^{-x}}{2}}-1at\left(\alpha ,0\right),e^{\alpha }=2$

$?\left|{\overrightarrow{v}}_1\right|=\left|{\overrightarrow{v}}_2\right|\Rightarrow p^2-p-2=0\Rightarrow p-1,2$ we take only p = 2 (p > 0)

$\therefore cos\theta =\frac{\overrightarrow{v_2}.\overrightarrow{v_2}}{\left|\overrightarrow{v_1}\right|\left|\overrightarrow{v_2}\right|}=\frac{4\sqrt[]{3}+3}{13}\Rightarrow tan\theta =\frac{6\sqrt[]{3}-2}{4\sqrt[]{3}+3}=\frac{\alpha \sqrt[]{3}-2}{4\sqrt[]{3}+3}\therefore \alpha =6$

$2NaB{H}_4+l_2\to 2Nal+H_2+B_2{H}_6$

Diborane is produced when NaBH₄ is reacted with I₂

Both boron atoms are sp³ hybridised & molecule is non-planar. Diborane as two bridged 3 centre-2-electron bonds.

The highest package for Aditya Global Business School BBA Placements reached upto 10 LPA. The Placement drives takes place annually. Popular recruiters in Aditya Global Business School Placements included Accenture, TCS, Reliance, HDFC Bank, etc. 

Bundelkhand University campus has all the infrastructure to facilitate academic, research, and extracurricular activities. On campus, there is a shopping complex, health centre, bank, post office, auditorium, 10 well-equipped seminar halls, faculty residential quarters, hostels for working women, teachers' transit hostel, etc. The hostel blocks of the university are well-maintained and equipped with all the basic amenities. It has a huge sports ground, an indoor stadium, and a gymnasium. 

The university also has both indoor and outdoor sports facilities for the students. It has one playground with a football and running track. BU has an indoor stadium with 4 badminton courts, table tennis, a volleyball court and a basketball court. The sports department of Bundelkhand University also provides professional sports training to the students and encourages them to participate in state, regional and national-level sports events.

The duration of Diploma course at Rustomjee Academy for Global Careers, Thane is two years. It is offered in various specialisations and in full-time mode. Admissions to this course are merit-based and the merit of Class 10 is accepted. Candidates must ensure fuflilling the eligibility criteria before applying for admission in Diploma course at Rustomjee Academy for Global Careers, Thane. 

For taking admission in Diploma course at Rustomjee Academy for Global Careers, Thane candiates are required to fulfil the minimum eligibility criteria, i.e., pass Class 10 from a recognised board. Additionally, they must submit the marksheet and certificate of Class 10 to apply for and confirm admission at the academy. Application forms are available on the official website of the academy. 

The PUBDET application fee is INR 500 + applicable bank service charges. It can be paid through Net Banking, Debit Card, Credit Card, or cash via Allahabad Bank e-challan.

NIFT Spot Counseling Seat Allotment Result was out on August 08, 2025. The admission fee payment for the seats starts from August 08, 2025, till August 10, 2025 (till 12:00 Midnight).

As per a pdf available on the official website of Bundelkhand University, the total hostel charge is INR 8,200. Refer to the table below to view the Bundelkhand University hostel fee considering other components:

Note: The above hostel fee is based on the 2019 PDF available on the website. The latest hostel fee might vary.