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Yes, students with 45% marks in Class 12 are eligible to apply. Nazareth College of Arts and Science requires a minimum of 40% aggregate marks from a recognised board for admission to the BA programme. Meeting this criterion makes such students eligible to proceed with the application process.

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Yes, the BA English course at Nazareth College of Arts and Science incorporates several practical components such as project work, summer internships, and industrial training. These hands-on experiences complement the theoretical curriculum, allowing students to apply their knowledge in real-world settings. This approach helps prepare NCAS students for professional challenges and enhances their employability after graduation.

${\displaystyle \int 2x^2+e^x}dx$

$\begin{array}{l}=2·{\displaystyle \int x^2}dx+{\displaystyle \int e^x}dx\\ =\frac{2·x^3}{3}+e^x+\; C\end{array}$

$\begin{array}{l}=a.{\displaystyle \int x^2.}dx+b{\displaystyle \int x}.dx+c{\displaystyle \int 1.dx}\\ =\frac{a·x^3}{3}+b\frac{x^2}{2}+cx+d.\end{array}$

Among AAPC coding certifications, the Certified Professional Coder (CPC) is the most popular choice. Considered one of the most reputable certifications in the healthcare industry, the CPC demonstrates an individual's ability to accurately code medical procedures and diagnoses for insurance claims. One becomes CPC-certified by passing an exam that tests one's knowledge of medical terminology, anatomy, and coding regulations. CPC-certified professionals are among the highest-paid in this field, earning around $56,000 per year, 17% higher than the industry standard, suggests AAPC.

$\begin{array}{l}\int x^2-\frac{x^2}{x^2}dx\\ ={\displaystyle \int x^2}–1dx={\displaystyle \int x^2}dx–{\displaystyle \int 1dx}\end{array}$

$=\frac{x^3}{3}-x+C$

= $\begin{array}{l} {\displaystyle \int 4e^{3x}dx}+{\displaystyle \int 1dx}\\ \frac{4·e^{3x}}{3}+x+C\end{array}$

$\frac{d}{dx}\left(-\frac{1}{2}cos2x-\frac{4}{3}{e}^{3x}\right)=sin2x-4e^{3x}$

Therefore, an anti-derivative of $\left(sin2x-4e^{3x}\right)is-\frac{1}{2}cos2x-\frac{4}{3}{e}^{3x}$

$\frac{dx}{}{(ax+b)}^3=3a{(ax+b)}^2$

${\left(ax+b\right)}^2=\frac{1}{3a}.\frac{a}{dx}{(ax+b)}^3$

${\left(ax+b\right)}^2=\frac{d}{dx}\left(\frac{1}{3a}{(ax+b)}^3\right)$

Therefore, an anti-derivative of ${(ax+b)}^{3}is\frac{1}{3a}(ax+b){}^3$

$\begin{array}{l}\frac{d}{dx}\left(e^{2}x\right)=2e^{2x}\\ e^{2x}=\frac{1}{2}-\frac{d}{dx}\left(e^{2x}\right)\\ e^{2x}=\frac{d}{dx}\left(\frac{1}{2}{e}^{2x}\right)\end{array}$

Therefore, an anti-derivative of $e^{2x}is\frac{1}{2}{e}^{2x}$

Yes, admission is open for BA LLB (Hons) at National Law University Kochi for the academic year 2025. Admissions to the five year BA LLB (Hons) Degree Programme (Choice Based Credit & Semester) are made through the Common Law Admission Test (CLAT). CLAT 2025 registration began on July 15, 2024. The application process for CLAT Exam 2025 was in online mode only. Candidates could fill the application for CLAT 2025 on or before October 22, 2024.To register for CLAT 2025, candidates needed a valid email ID and phone number.

$\begin{array}{l}\frac{dx}{}sin3x=3cos3x \\ cos3x=\frac{1}{3}dx\left(sin3x\right) \\ cos3x= \frac{d}{dx}\left(\frac{1}{3}sin3x\right)\end{array}$

Therefore, an anti-derivative of $cos3xis\frac{1}{3}sin3x$

$\begin{array}{l}\frac{d}{dx}cos2x=–2sin2x \\ sin2x=–\frac{1}{2}\frac{d}{dx}\left(cos2x\right) \\ sin2x =\frac{d}{dx}\left(\frac{1}{2}cos2x\right)\end{array}$

Therefore, an anti-derivative of $sin2xis-\frac{1}{2}cos2x$

Students must verify the details given on the hall ticket. They must inform the school authorities, if any errors are found in the AP Inter hall ticket. School authoroities will help you in getting the new hall ticket without any mistakes. 

To evaluate if the BA programme at Nazareth College of Arts and Science suits their goals, students should consider factors such as the specialisation offered, curriculum relevance, faculty qualifications, internship and placement support, tuition fees, and overall student reviews.