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Recent questions and answers in Calculus
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GATE2017 EC2: 26
The values of the integrals $\int_{0}^{1}\left ( \int_{0}^{1}\frac{xy}{(x+y)^3}dy \right )dx$ and $\int_{0}^{1}\left ( \int_{0}^{1}\frac{xy}{(x+y)^3}dx \right )dy$ are same and equal to $0.5$ same and equal to $0.5$ $0.5$ and $0.5$, respectively $0.5$ and $0.5$, respectively
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Nov 23, 2017
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gate2017ec2
integrals
calculus
engineeringmathematics
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GATE2017 EC1: 26
Let $f(x)=e^{x+x^{2}}$ for real $x$ . From among the following, choose the Taylor series approximation of $f(x)$ around $x=0$, which includes all powers of $x$ less than or equal to $3$. $1 + x + x^{2} + x^{3} $ $1 + x +\frac{3}{2} x^{2} + x^{3} $ $1 + x +\frac{3}{2} x^{2} + \frac{7}{6}x^{3} $ $1 + x +3 x^{2} + 7x^{3} $
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Nov 17, 2017
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gate2017ec1
taylorseries
calculus
engineeringmathematics
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GATE2017 EC1: 9
A bar of Gallium Arsenide (GaAs) is doped with silicon such that the silicon atoms occupy Gallium and Arsenic sites in the GaAs crystal. Which one of the following statements is true? Silicon atoms act as $p$type dopants in Arsenic sites and $n$type ... in Arsenic sites as well as Gallium sites Silicon atoms act as $n$type dopants in Arsenic sites as well as Gallium sites
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Nov 17, 2017
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Calculus
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gate2017ec1
volumeintegrals
calculus
engineeringmathematics
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