MGT101 Final Term Past Paper 14

FINALTERM EXAMINATION Spring 2009 MTH101- Calculus And Analytical Geometry (Session - 1)

Q1. If f is a twice differentiable function at a stationary point (1 marks)

0x and f x then f

has relative …………. At 0x

1. Minima
2. Maxima
3. None of these

Q2. If f is a twice differentiable function at a stationary point (1 marks)

0x and f x then f

has relative …………. At 0x

1. Minima
2. Maxima
3. None of these

Q3. sin 2 (1 marks)

lim x x

x

1. 2
2. 4
3. 1

Q4. ln (1 marks)

lim 1 x x

x

1. 1
2. 0
3. e
4. None of these

Q5. (tan (1 marks)

d x dx

1. sec x

sec x sec co x

sec co x

Q6. If (1 marks)

xy  then dy dx 

1. 0

x

x

x

Q7. Consider a function ( ) (1 marks)

h x and a constant c then

d c h x dx

1. 0

d h x dx d h cx dx d c h x dx

Q8. Suppose that f and (1 marks)

g are differentiable functions of x then d f g dx

f g f g g f g

f g f g

f g f g

Q9. The power rule, (1 marks)

n n d x nx dx holds if n is __________

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

Q10. Let a function f be defined on an interval, and let (1 marks)

1x and 2x denotes two distinct

points in that interval. If f x f x for all points 1x and 2x then which of the

following statement is correct?

1. f is a decreasing function
2. f is an increasing function
3. f is a constant function

Q11. If (1 marks)

f x on an open interval (a,b) then which of the following statement is correct?

1. f is concave up on (a, b).
2. f is concave down on (a, b)
3. f is linear on (a, b).