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Syllabus: Limits, Continuity, and Differentiability, Maxima and minima, Mean value theorem, Integration.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}&\textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 1 &1&1&1&1&1&0&1&1&1&0&0.9&1
\\\hline\textbf{2 Marks Count} & 0 &0&0&0&0&0&1&0&0&0&0&0.1&1
\\\hline\textbf{Total Marks} & 1 &1&1&1&1&1&2&1&1&1&\bf{1}&\bf{1.1}&\bf{2}\\\hline
\end{array}}}$$

Recent questions in Calculus

0 votes
1 answer
482
Consider the funciton $M$ defined as follows:$M(n) = \begin{cases} n-10 & \text{ if } n 100 \\ M(M(n+11)) & \text{ if } n \leq 100 \end{cases}$Compute the following$: M(...
2 votes
2 answers
483
Consider the funciton $M$ defined as follows:$M(n) = \begin{cases} n-10 & \text{ if } n 100 \\ M(M(n+11)) & \text{ if } n \leq 100 \end{cases}$Compute the following$: M(...
0 votes
0 answers
485
Correct Answer?
0 votes
1 answer
487
0 votes
1 answer
488
$\lim_{x\rightarrow \pi } (1+\cos x)/\tan ^{2}x$
0 votes
0 answers
490
0 votes
1 answer
491
0 votes
0 answers
492
Qus 1Qus 2
0 votes
1 answer
493
3 votes
1 answer
494
Find the inverse function of the following=f(x)=2∙3x+9x log3⁡((√(x+1))+1) log3⁡((√(x+1))-1) log3⁡((√(x-1))+1) log3⁡((√(x+1))-2)
2 votes
3 answers
495
What is value of $\lim_{x\rightarrow 0, Y\rightarrow 0}\frac{xY}{x^2+Y^2}$1 -10Does not exist
2 votes
1 answer
496
2 votes
1 answer
497
15 votes
5 answers
499
The equation $7x^{7}+14x^{6}+12x^{5}+3x^{4}+12x^{3}+10x^{2}+5x+7=0$ hasAll complex rootsAt least one real rootFour pairs of imaginary rootsNone of the above
1 votes
2 answers
500
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