Recent questions tagged functions / GO Instrumentation

1 votes

1 answer

1

GATE IN 2023 | GA Question: 7
Ankita has to climb $5$ stairs starting at the ground, while respecting the following rules: At any stage, Ankita can move either one or two stairs up. At any stage, Ankita cannot move to a lower step. Let $F(N)$ denote the number of possible ways in which Ankita can reach the $N^{\text {th}}$ stair. For example, $F(1)=1, F(2)=2, F(3)=3$. The value of $F(5)$ is__________. $8$ $7$ $6$ $5$

Ankita has to climb $5$ stairs starting at the ground, while respecting the following rules:At any stage, Ankita can move either one or two stairs up.At any stage, Ankita...

admin

2.7k points

admin asked May 22, 2023

0 votes

0 answers

2

GATE IN 2021 | GA Question: 9
A function, $\lambda$, is defined by $\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2} , & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{matrix}\right.$ The value of the expression $\dfrac{\lambda \left ( -\left (- 3+2 \right ),\left ( -2+3 \right ) \right )}{\left ( -\left ( -2+1 \right ) \right )}$ is: $-1$ $0$ $\frac{16}{3}$ $16$

A function, $\lambda$, is defined by$\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2} , & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{...

Arjun

2.9k points

Arjun asked Feb 19, 2021

0 votes

0 answers

3

GATE2020: GA: 5
Define $[x]$ as the greatest integer less than or equal to $x$, for each $x \; \in \; [-\infty,\infty]$. If $y=[x],$ then area under $y$ for $x \; \in \; [1,4]$ is ____________. $1$ $3$ $4$ $6$

Define $[x]$ as the greatest integer less than or equal to $x$, for each $x \; \in \; [-\infty,\infty]$. If $y=[x],$ then area under $y$ for $x \; \in \; [1,4]$ is _____...

soujanyareddy13

2.7k points

soujanyareddy13 asked Nov 3, 2020

0 votes

0 answers

4

GATE2020: GA: 9
Select the graph that schematically represents $\text{BOTH} \;y=x^m$ and $y=x^{1/m}$ properly in the interval $0\leq x\leq 1$, for integer values of $m$, where $m>1$.

Select the graph that schematically represents $\text{BOTH} \;y=x^m$ and $y=x^{1/m}$ properly in the interval $0\leq x\leq 1$, for integer values of $m$, where $m>1$.

soujanyareddy13

2.7k points

soujanyareddy13 asked Nov 3, 2020

0 votes

0 answers

5

GATE2019 IN: 26
The curve y = f(x) is such that the tangent to the curve at every point (x,y) has a y-axis intercept c, given by c = -y. Then,f(x) is proportional to x$^{-1}$ x$^{2}$ x$^{3}$ x$^{4}$

The curve y = f(x) is such that the tangent to the curve at every point (x,y) has a y-axis intercept c, given by c = -y. Then,f(x) is proportional tox$^{-1}$x$^{2}$x$^{3}...

Arjun

2.9k points

Arjun asked Feb 10, 2019

0 votes

0 answers

6

GATE2012-1
If $x=\sqrt{-1},$ then the value of $x^x$ is $e^{-\pi/2}$ $e^{\pi/2}$ $x$ $1$

If $x=\sqrt{-1},$ then the value of $x^x$ is $e^{-\pi/2}$$e^{\pi/2}$$x$$1$

Milicevic3306

7.9k points

Milicevic3306 asked Mar 25, 2018

0 votes

0 answers

7

GATE2018-GA-3
For $0\leq{x}\leq{2\pi}$, $\sin x \text{ and } \cos x$ are both decreasing functions in the interval _________ . $\left(0,\dfrac{\pi}{2}\right)$ $\left(\dfrac{\pi}{2},\pi\right)$ $\left(\pi,\dfrac{3\pi}{2}\right)$ $\left(\dfrac{3\pi}{2},2\pi\right)$

For $0\leq{x}\leq{2\pi}$, $\sin x \text{ and } \cos x$ are both decreasing functions in the interval _________ .$\left(0,\dfrac{\pi}{2}\right)$$\left(\dfrac{\pi}{2},\pi\r...

gatecse

1.4k points

gatecse asked Feb 20, 2018