MTH101 Midterm Solved Paper Fall 2009 Set 2

MIDTERM EXAMINATION Fall 2009

MTH101- Calculus And Analytical Geometry Time: 60 min Marks: 42

Q1. The base of the natural logarithm is (1 marks)

2.71

10

5

Q2. A line (1 marks)

x x f if f x or f x 0x

Q3. If a function satisfies the conditions (1 marks)

f(c) is defined lim x c f x

Exists lim x c f x f c

Then the function is said to be

Continuous at c
Continuous from left at c
Continuous from right at c

Q4. If f (1 marks)

x < on an open interval (a,b) then f is --------------- on (a,b )

Concave up
Concave down
Closed

Q5. Suppose that (1 marks)

f and g are differentiable function of x then d f dx g

g f f g g

g f f g g

g f f g g

Q6. A (1 marks)

line x x f if f x or f x 0x

Q7. If (1 marks)

y x then dy dx =

1
-1

x

x

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. If (1 marks)

x y then dy dx =

x y

x y

y x

y x

Q10. If f is a twice differentiable function at a stationary point (1 marks)

0x and f x then f

has relative …………. At 0x

Minima
Maxima

Q11. If (1 marks)

f is a twice differentiable function at a stationary point 0x and f x then f has

relative …………. At 0x

Minima
Maxima