MTH101 Quiz 3 2021 Set 2 by Attiq Kundi

MTH101 Spring (2021) · ATTIQ KUNDI · Quiz No.3 File

1. Forms of L ‘Hopital’s rule are ------.

Answer: All of the given/above

2. Length of the curve y= sin (x) from x= 0 to x = π is --------.

Answer: 1 cos a xdx

3. Distance between (3,-2) and (4, 0) using the distance formula is ---

Answer: None of these.

4. A ------- Function is a function that has continuous derivatives up to some desired order over some domain.

Answer: Smooth.

5. Arc length of the curve y=x from x =0 to x=2 is -------.

Answer: All of the above.

6. The volume V of a cylinder with base area A and height h is calculated by --

Answer: V= A h

7. Definite integral indicating the arc length of the curve y=x2 between x=0 and x=2 is -------.

Answer: None of these.

8. The value of ∫ -x dx --------.

Answer: None of these.

9. Evaluate

Q10. The value of lim …….. ?

Answer: 1. ln( lim ln( x z a x a e e

11. Find the area between y=z and y= -z (z- 4).
12. To get better approximation to actual area under a continuous curve over a closed intervals we have to increase -------.

Answer: Number of subintervals.

13. Arc length of the smooth curve x=g(y) for y=a, to y=b is -------.

Answer: ∫√

14. For a sequence { } if the difference between successive terms 1 0.

Answer: Non decreasing.

15. The value of lim lim cos x z e x

Answer: 2

16. The volume by the washer perpendicular to the x-axis is -----.

Answer: b

a f x g x dx

17. Distance formula is based on the ------.

Answer: Pythagoras theorem

18. Define integral indicating the arc length of the curve y=cos between x=0 and x= a is -------.

Answer: b

a f x g x dx