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 $f\left(x\right)=x{e}^{x\left(1-x\right)}$

$f\text{'}\left(x\right)=-e^{x\left(1-x\right)}\left(2x+1\right)\left(x-1\right)$

$f\left(x\right)is\uparrow in\left(\frac{-1}{2},-1\right)$

International students who plan to study abroad in Canada must show min bank balance worth CAD 22,895 as of Sep 1, 2025.

This figure has increased from previous one which stood at CAD 20,635 as a result of the Mark Carney led Canadian government's effort to reduce the number of illegal immigrants in the country.

Candidates need to have passed the 10+2 examination to be eligible to participate in the counselling process of Andhra Pradesh LAWCET. General category candidates securing 42 marks will be eligible to register for the counselling. Refer to the following table to understand the eligibility:

The eligibility criteria for M.Tech course at RGUKT (IIIT Basara): Rajiv Gandhi University of Knowledge Technologies requires the candidates to complete graduation from an recognised university/institute in the required field. Candidates must fulfil this eligibiloty criteria in order to apply for admission at the university. 

Note : n should be given as a natural number:

$f\left(x\right)=\{\begin{array}{l}\begin{array}{ccc}\hfill \frac{-sin\left(x-1\right)}{x-1}\hfill & \hfill ,\hfill & \hfill x<-1\hfill \\ \hfill -\left(sin2+1\right)\hfill & \hfill ,\hfill & \hfill x=-1\hfill \\ \hfill cos2\pi x\hfill & \hfill ,\hfill & \hfill -1<x<1\hfill \end{array}\\ 1,x=1\end{array}$

$\frac{-sin\left(x-1\right)}{x-1},x>1$

f (x) is discontinuous at x = 1 and x = 1

Christ University is a good university in Bangalore city. The university is accessbible through diff. modes of transportation. Students who arrive at the Kempegowda International Airport can take a drive of 1 hr 20 min. Students can also opt for rail travel & reach the campus at Hosur Road by arriving at the KSR Bengaluru City Junction & taking a short half-an-hour drive.

 $f\left(0\right)+3+\lambda +4=14$

$\therefore f\left(0\right)=7-\lambda =c$

$f\left(1\right)=a+b+c=3$ ……. (i)

$f\left(3\right)=9a+3b+c=4$ …… (ii)

$f\left(-2\right)=4a-2b+c=\lambda$ …. (iii)

(ii) – (iii)

$a+b=\frac{4-\lambda }{5},$ put in equation (i)

$6\lambda =24\lambda =4$

The highest placement package recorded at People's University in 2023 was INR 24.37 LPA. While this is not specific to the BTech course alone, it reflects the university's growing reputation in attracting top recruiters across various programmes.

As of now, there is no official placement report available for the 2025 BTech batch at People's University. However, based on previous trends across all programmes, the university has shown a consistent record of positive placements, with reputable companies participating in recruitment drives.

Given that $A^T=A,B^T=-B$

(A) $C=A^4-B^4$

$=A^4-B^4=C$

(B)C = AB – BA

$=B^T{A}^T-A^T{B}^T=-BA+AB=C$

(C) $C=B^5-A^5$

$C^T={\left(B^5-A^5\right)}^T={\left(B^5\right)}^T-{\left(A^5\right)}^T=-B^5-A^5$

(D)C = AB + BA

= BA – AB = C

$\therefore$ option is true

The CII Chennai application process is conducted online on the official website of the institute. Candidates who meet the eligibility criteria have to submit the CII application form before the deadline. Students may apply for two programmes under Option 1 & Option 2, e.g. MBA (Logistics Management) and MBA (Supply Chain Management) respectively. Subject to meeting the eligibility criteria, aspirants will be called for the Selection process for Option 1. If the candidate is called for the Selection process for Option 2, it implies that the aspirant is not meeting the eligibility criteria of Option 1.

Christ University, beginning as Christ College in 1966, has grown to support various affiliated colleges and schools under it. Further, the university also has set up two separate campus locations at Bannerghatta and Kengari. Below-mentioned are the prominent schools under Christ University:

University of Arizona has a rich alumni network all over the world. Check some of the notable alumni of Uni of Arizona mentioned below

• Kourtney Kardashian
• Kate Walsh
• David Foster Wallace
• Linda McCartney
• Temple
• Gilbert Arenas
• Aaron Gordon
• Caroline Rhea
• Woody Johnson

 $a=\frac{-1}{{\alpha }^2}-\frac{1}{{\beta }^2}-2,b=\frac{1}{{\alpha }^2}+\frac{1}{{\beta }^2}+1+\frac{1}{{\alpha }^2{\beta }^2}$

$6x^2+17x+7=0,x=\frac{-7}{3},x=\frac{-1}{2}$ are roots

Both roots, real and negative

CII School of Logistics Chennai admissions are primarily entrance-based. Candidates who meet the course-specific eligibility criteria can apply for admission to the CII School of Logistics Chennai courses. Candidates must pass Class 10, 12 and graduation, obtaining a minimum of 50% aggregate.