MTH101 Final Term MCQs

FINALTERM EXAMINATION 2009 (Session - 1)

Calculus & Analytical Geometry-I · Gulshan Ali · (Hafizabad) · UPDATED VERSION · Exclusive thanks to Mahar Azahar (Lodhran)

Q1. ( Marks: 1 )

x If f is a twice differentiable function at a stationary point and f ''(x0 ) > 0

x then f has relative …………. At

1. Minima
2. Maxima
3. None of these

Q2. ( Marks: 1 )

x If f is a twice differentiable function at a stationary point and f ''(x0 ) < 0

x then f has relative …………. At

1. Minima
2. Maxima
3. None of these

Q3. ( Marks: 1 )

lim sin 2x = − − − − −

x→0 x

1. 2
2. 4

d ((c) {h(x)}) =

dx

1. 0

d (h(x))

1. dx

d (h(cx))

1. dx

Q8. ( Marks: 1 )

Suppose that f and g are differentiable functions of x then

d [ f ][g] =

dx

[ f ′][g] −[ f ][g′] g 2 [ f ′][g′]

[ f ′][g ] + [ f ][g′]

[ f ′][g ] − [ f ][g′]

Q9. ( Marks: 1 )

d [xn ] = nxn−1 dx The power rule,

1. An integer
2. A rational number
3. An irrational number
4. All of the above

holds if n is

Q10. ( Marks: 1 )

Let a function f be defined on an interval, and let x1 and x2 denotes two

distinct points in that interval. If f (x1 ) = f (x2 ) for all points x1 and x2 then c d (h(x)) dx which of the following statement is correct? f is a decreasing function f is an increasing function

1. f is a constant function

Q11. ( Marks: 1 )

f ′ (x) < 0 If on an open interval (a,b) then which of the following statement is correct? f is concave up on (a, b).

1. f is concave down on (a, b)

f is linear on (a, b).

Q12. ( Marks: 1 )

n

What does 'n' represent in Riemann Sum

1. No. of Circles
2. No. of Rectangles
3. No. of Loops
4. No. of Squares

Σ f (x k =1 k )∆ xk

Q13. ( Marks: 1 )

If f is continuous function such that f then has on

1. maximum value but no minimum
2. minimum value but no maximum

lim x→−∞ f (x) = +∞ and lim x→+∞ f (x) = +∞

1. both maximum and minimum value

Q14. ( Marks: 1 )

t x2

The expression

1. t
2. x
3. 2

∫ dx

, represents a function of :

1. Both t and x