If A =\(\left( \begin{matrix} 1 \\ 2 \\ 3 \end{matrix} \right) \) then the rank of AA^T is ________.

(a)

0

(b)

1

(c)

2

(d)

3

ഽ\(\frac { { 2x }^{ 3 } }{ 4+{ x }^{ 4 } } \)dx is _______.

(a)

\(log\left| 4+{ x }^{ 4 } \right| +c\)

(b)

\(\frac { 1 }{ 2 } log\left| 4+{ x }^{ 4 } \right| +c\)

(c)

\(\frac { 1 }{4 } log\left| 4+{ x }^{ 4 } \right| +c\)

(d)

\(log\left| \frac { { 2x }^{ 3 } }{ { 4+x }^{ 4 } } \right| +c\)

If MR and MC denotes the marginal revenue and marginal cost functions, then the profit functions is ________.

(a)

P = ഽ(MR − MC) dx + k

(b)

P = ഽ(MR + MC) dx + k

(c)

P = ഽ(MR)(MC)dx + k

(d)

P = ഽ(R −C)dx + k

If y = cx + c− c³ then its differential equation is ______.

(a)

\(y=\frac { dy }{ dx } +\frac { dy }{ dx } -{ \left( \frac { dy }{ dx } \right) }^{ 3 }\)

(b)

\(y={ \left( \frac { dy }{ dx } \right) }^{ 3 }=x\frac { dy }{ dx } -\frac { dy }{ dx } \)

(c)

\(\frac { dy }{ dx } +y={ \left( \frac { dy }{ dx } \right) }^{ 3 }-x\frac { dy }{ dx } \)

(d)

\(\frac { { d }^{ 3 }y }{ d{ x }^{ 3 } } =0\)

If m and n are positive integers then Δ^mΔⁿf(x) = _______.

(a)

Δ^m+nf (x)

(b)

Δ^mf(x)

(c)

Δⁿf (x)

(d)

Δ^m-nf (x)

The two methods of interpolation are ______________

(a)

Forward & backward interpolation

(b)

graphical method & forward interpolation

(c)

graphical method & backward interpolation

(d)

graphical method & algebraic method

A formula or equation used to represent the probability distribution of a continuous random variable is called ________.

(a)

probability distribution

(b)

distribution function

(c)

probability density function

(d)

mathematical expectation

Variance of the random variable. X is 4, Its mean is 2. Then E(X²) is _________

(a)

2

(b)

4

(c)

6

(d)

8

The parameters of the normal distribution \(f(x)=\left(\frac{1}{\sqrt{72 \pi}}\right)\)\(\frac{e^{-(x-10)^{2}}}{72}\) –∞ <  x  <  ∞ ________.

(a)

(10,6)

(b)

(10,36)

(c)

(6,10)

(d)

(36,10)

A _______is one where each item in the universe has an equal chance of known opportunity of being selected.

(a)

Parameter

(b)

random sample

(c)

statistic

(d)

entire data