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SubjectTopicYearType

The following plot shows a function

y

which varies linearly with

x

. The value of the integral

I=\displaystyle{}\int_1^2 y d x

For

|x| \ll 1

\operatorname{coth}(x)

can be approximated as

\displaystyle{}\lim _{\theta \rightarrow 0} \frac{\sin (\theta / 2)}{\theta}

Which one of the following functions is strictly bounded?

For the function

e^{-x}

, the linear approximation around

x=2

\mathrm{X}=01110

and

\mathrm{Y}=11001

are two

5

-bit binary numbers represented in two's complement format. The sum of

\mathrm{X}

and

\mathrm{Y}

represented in two's complement format using

6

bits is

It is given that

X_{1}, X_{2}, \cdots ,X_{M}

are

M

non-zero, orthogonal vectors. The dimension of the vector space spanned by the

2 M

vectors

X_{1}, X_{2}, \cdots, X_{M},-X_{1},-X_{2}, \cdots,-X_{M}

Consider the function

f(x)=x^{2}-x-2

. The maximum value of

f(x)

in the closed interval

[-4,4]

The following binary values were applied to the

\mathrm{X}

and

\mathrm{Y}

inputs of the NAND latch shown in the figure in the sequence indicated below:

\mathrm{X}=0, \mathrm{Y}=1 ; \quad \mathrm{X}=0, \mathrm{Y}=0 ; \quad \mathrm{X}=1, \mathrm{Y}=1 \text{.}

The corresponding stable

\mathrm{P}, \mathrm{Q}

outputs will be

In delta modulation, the slope overload distortion can be reduced by

In the following scheme, if the spectrum

M(f)

m(t)

is as shown, then the spectrum

Y(f)

y(t)

will be