MTH101 Midterm Solved Mega File

MTH101 Calaulus And Analytical Geometry All Midterm Solved Papers In One File

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

1. 2.71
2. 10
3. 5
4. None of these

Q2. A line (1 marks)

x x f if f x or f x 0x

1. Horizontal asymptotes
2. None of these
3. Vertical asymptotes

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

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

Q4. 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

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

1. None of these

Q6. A (1 marks)

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

1. Horizontal asymptotes
2. None of these
3. Vertical asymptotes

Q7. If (1 marks)

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

1. Minima
2. Maxima
3. None of these

Q11. 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

Q12. If f (1 marks)

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).

Q13. Let (1 marks)

2 ) y x x . Which of the following is correct?

(37)( 2 ) dy x x dx 