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$$\small{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline \textbf{Year}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum} \\\hline\textbf{1 Mark Count}&1&1&0&1&1&1&0&0.8&1 \\\hline\textbf{2 Marks Count}&0&0&1&0&0&0&0&0.2&1 \\\hline\textbf{Total Marks}&1&1&2&1&1&1&\bf{1}&\bf{1.2}&\bf{2}\\\hline \end{array}}}$$

# Recent questions in Calculus

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Plese explain me this series
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which of the following are differentiable at x=0 $X^{3}$ 2. | $X^{3}$ |
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For the function f(z) = $1/((z^{2})(e^{z}-1)), z=0$ is a pole of order (a) 1 (b) 2 (c ) 3 (d) None
The general solution of differential equation is $\frac{dy}{dx} = (1+y^2)(e^{-x^{2}}-2xtan^{-1}y)$
Somewhere I found that ( on Google i guess, don't remember the exact site ) $\left | f(x)\right |$ is always continuous . But $\left | \frac{1}{x-1}\right |$ is discontinuous at [email protected]x=1$. Why this happens ? 0 votes 1 answer 10 0 votes 0 answers 11 Find the nth derivative of the following y = x^3 sin 2x 0 votes 1 answer 12 Divide 75 into three parts such that their product is maximum. 0 votes 0 answers 13$\int_{1}^{∞}\frac{dx}{x^6+1}$2 votes 1 answer 14$\int x^7.e^{x^4}dx$How to do this? 0 votes 0 answers 15 1 vote 1 answer 16 Do read the comments from thebottom of the page :) 0 votes 0 answers 17 https://gateoverflow.in/2608/gate1995-1-21 IN THE GRAPH WHY TWO EQUATIONS ARE TAKEN MEANS HOW X=Y AND COSX TWO DIFFERENT THINGS ARE TAKEN TO GET INTERSECTION POINT. 0 votes 1 answer 18$\int_{0}^{1}\frac{x^{\alpha }-1}{logx}dx$where$\alpha>0$0 votes 0 answers 19$\int_{}^{}\frac{x dx}{\sqrt{x^4-1}}\$