MTH301 Midterm Past Paper Fall 2010

MTH301 MID FALL 2010

Suppose xy f x y x e . Which one of the following is correct?

xy xy f x e x ye x

xy f x ye x

xy xy f x e x e x

xy f x e x

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. None of these

What is the distance between points (3, 2, 4) and (6, 10, -1)?

-------------------- planes intersect at right angle to form three dimensional space.

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

Set of real numbers

Set of integers

Set of natural numbers

Set of rational numbers

xx yy xy f f and f x y and let

xx yy xy D f x y f x y f x y

If D = then ---------------

f has relative maximum at x y

f has relative minimum at x y

f has saddle point at x y Let i , j and k be unit vectors in the direction of x-axis, y-axis and z-axis respectively.

Suppose that a i j k . What is the magnitude of vector a

A straight line is --------------- geometric figure.

One-dimensional Two-dimensional

Three-dimensional

Dimensionless

{( , )/0 4},

(6

R If R x y x and y then

x xy dA

(6 x xy dydx

(6 x xy dxdy

(6 x xy dxdy

(6 x xy dxdy