MTH101 Midterm Solved Paper 5

MIDTERM EXAMINATION Spring 2009 · Calculus & Analytical Geometry-I · MIDTERM SOLVED PAPERS (PAPER #5)

Q1. The set {…,-4,-3,-2,-1,0,1,2,3,4,..} is know as set of ………….. (1 marks)

1. Natural numbers
2. Integers
3. Whole numbers
4. None of these

Q2. The (1 marks)

domain of the function 2)( 4) h x x x is

,2) (2,4) (4,

,2} {2,4} {4,

,2.5) (2.5,4.5) (4.5,

1. All of these are incorrect

Q3. If (1 marks)

the lim x a f x L then the inequality L f x L ε ε holds in any subset of the interval

a a a a δ δ

1, ) 1) a a a a

a a a a ε ε

1. None of these

Q4. L (1 marks)

f x L ε ε Can be written as

f x L ε

f x L ε

f x L ε

1. None of these

Q5. 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

1. Continuous at c
2. Continuous from left at c
3. Continuous from right at c
4. None of these

Q6. d (1 marks)

sex dx

sin 1 sin x x

sin 1 sin x x

Q1. sin x

1. None of these

Q7. logb ac = −−−−−− (1 marks)

log log b b a c log log a c b b

log a c b

1. None of these

Q8. log (1 marks)

r b a = −−−−−−

logb a r

logb r a

loga b r

1. None of these

Q9. If f (1 marks)

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

1. None of these
2. Concave up
3. Concave down
4. Closed

Q10. If (1 marks)

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

then f has relative …………. At 0x

1. Minima
2. Maxima
3. None of these

Q11. A line is called a tangent line to the circle if it meets the circle at precisely (1 marks)

1. One point
2. Two points
3. Infinite points
4. None of these

Q12. The equation (1 marks)

4) 1) x y represents a circle having center at ……….. and radius ................