Register

Recent questions tagged calculus

0 votes
0 answers
41
GATE2014-1-1
$\underset{x \to \infty}{\lim} \bigg( \dfrac{x+\sin x}{x} \bigg)$ equals to $- \infty$ $0$ $1$ $\infty$
$\underset{x \to \infty}{\lim} \bigg( \dfrac{x+\sin x}{x} \bigg)$ equals to$- \infty$$0$$1$$\infty$
0 votes
0 answers
44
GATE Civil 2013 | Question: 28
The solution for $\int_0^{\pi/6} \cos^4 3 \theta \sin^3 6 \theta \: d \theta$ is $0 \\$ $\dfrac{1}{15} \\$ $1 \\$ $\dfrac{8}{3}$
The solution for $\int_0^{\pi/6} \cos^4 3 \theta \sin^3 6 \theta \: d \theta$ is$0 \\$$\dfrac{1}{15} \\$$1 \\$$\dfrac{8}{3}$
0 votes
0 answers
45
GATE Civil 2012 | Question: 29
For the parallelogram OPQR shown in the sketch, $\overrightarrow{OP}=a \hat{i}+b \hat{j}$ and $\overrightarrow{OR}=c \hat{i} +d \hat{j}$. The area of the parallelogram is $ad-bc$ $ac+bd$ $ad+bc$ $ab-cd$
For the parallelogram OPQR shown in the sketch, $\overrightarrow{OP}=a \hat{i}+b \hat{j}$ and $\overrightarrow{OR}=c \hat{i} +d \hat{j}$. The area of the parallelogram is...
0 votes
0 answers
46
GATE Civil 2012 | Question: 3
The infinite series $1+x+\dfrac{x^2}{2!}+\dfrac{x^3}{3!}+\dfrac{x^4}{4!} + \dots $ corresponds to $\sec x$ $e^x$ $\cos x$ $1+\sin^2x$
The infinite series $1+x+\dfrac{x^2}{2!}+\dfrac{x^3}{3!}+\dfrac{x^4}{4!} + \dots $ corresponds to$\sec x$$e^x$$\cos x$$1+\sin^2x$
0 votes
0 answers
48
GATE2018 CE-1: 26
The value of the integral $\int_0^{\pi} x \cos^2 x \: dx$ is $\pi^2/8$ $\pi^2/4$ $\pi^2/2$ $\pi^2$
The value of the integral $\int_0^{\pi} x \cos^2 x \: dx$ is$\pi^2/8$$\pi^2/4$$\pi^2/2$$\pi^2$
0 votes
0 answers
49
GATE2018 CE-1: 3
At the point $x= 0$, the function $f(x) = x^3$ has local maximum local minimum both local maximum and minimum neither local maximum nor local minimum
At the point $x= 0$, the function $f(x) = x^3$ haslocal maximumlocal minimumboth local maximum and minimumneither local maximum nor local minimum
Page: