MTH301 Midterm Solved MCQs with References by Ali Shah

ASSALAM O ALAIKUM · All Dear fellows · ALL IN ONE MTH301 Calculus II · Midterm solved papers · From Sahiwal · BSCS 4th semester · Remember me in your prayers · Spring 2010 · MTH301- Calculus II (Session - 3)

1. Every real number corresponds to ____________ on the co-ordinate line.

Infinite number of points

Two points (one positive and one negative)

A unique point

2. There is one-to-one correspondence between the set of points on co-ordinate line and __________.

Set of natural numbers

Q3. Which of the following is associated to each point of three dimensional space?

An ordered pair

An ordered triple

4. All axes are positive in __________octant.

First

Second

Fourth

Eighth

5. The spherical co-ordinates of a point are 3, .What are its cylindrical co-ordinates?

,0

3 cos , 3sin ,0

3sin , 3 cos

3, ,0

6. Suppose f x y xy y where x t and y t . Which one of the following is true?

df t dt = −

df t t dt = −

df t dt =

df t t dt = −

7. Let w f x y z and x g r s y h r s z t r s then by chain rule w

r

w x w y w z

x r y r z r w x w y w z

r r r r r r

w x x w y y w z z

x r s y r s z r s

w r w r w r

r x r y r z

8. Magnitude of vector is 2, magnitude of vector is 3and angle between them when placed tail

to tail is 45 degrees. What is

4. 5

6.2

5. 1
6. 2
7. Is the function ,x y f continuous at origin? If not, why?

,x y f is continuous at origin

0,0 f is not defined

0,0 f is defined but

0,0 lim

x y f x y does not exist

0,0 f is defined and

0,0 lim

x y f x y exist but these two numbers are not equal.

10. Is the function f x y continuous at origin? If not, Why?

f x y is continuous at origin

0,0 f is not defined

0,0 f is defined but

0,0 lim

x y f x y does not exist

0,0 f is defined and

0,0 lim

x y f x y exist but these two numbers are not equal.

Q11. Let R be a closed region in two dimensional space. What does the double integral over R calculates?

Area of R

Radius of inscribed circle in R.

Distance between two endpoints of R.