\(\int { { 3 }^{ x+2 } } \) dx = ______________ +c

(a)

\(\frac { { 3 }^{ x } }{ log3 } \)

(b)

\(\frac { 9\left( { 3 }^{ x } \right) }{ log3 } \)

(c)

\(\frac { 3.{ 3 }^{ x } }{ log3 } \)

(d)

\(\frac { { 3 }^{ x } }{ 9log3 } \)

The area of the region bounded by the curve y² = 2y - x and the y-axis _____ sq. units

(a)

\(\frac{4}{3}\)

(b)

\(\frac{2}{3}\)

(c)

4

(d)

\(\frac{16}{3}\)

The differential equation formed by eliminating A and B from y = e^x (A cos x + B sin x) is _____________

(a)

y₂+y₁= 0

(b)

y₂-y₁ = 0

(c)

y₂-2y₁+2y = 0

(d)

y₂-2y₁-2y = 0

Δ(f(x) + g(x)) = ________

(a)

Δf(x) + Δg(x)

(b)

f(x) ± Δg(x)

(c)

f(x) Δ g(x)

(d)

g(x). Δf(x)

V(4X + 3) is _________

(a)

7

(b)

16V(X)

(c)

4V(X)

(d)

19

If f(x) = kx(1-x), 0< x < 1 is a p.d.f. then the value of k is ________.

(a)

\(\frac{1}{5}\)

(b)

\(\frac{2}{5}\)

(c)

\(\frac{3}{5}\)

(d)

6

In case of normal distribution, skewness is ___________

(a)

1

(b)

0

(c)

2

(d)

3

Which of the following statements is true?

(a)

point estimate gives a range of value

(b)

sampling is done only to estimate a statistic

(c)

sampling is done to estimate the population parameter

(d)

sampling is not possible for an infinite population

In a line of best fit y = 5.8 (x - 1994) + 41.6, the value of y when x = 1997 is _____

(a)

50

(b)

54

(c)

59

(d)

60

The given data is a balanced transportation problem

Then total demand
 

(a)

7 + 9 + 18

(b)

9 + 7 + 10 + 8

(c)

15+ 15 + 4

(d)

10+ 10+ 14