MTH301 Midterm Quiz

Mth301 275+ MIDTERMMCQS · Searching file for grand quiz · Create by ORANGE MONKEY TEAM

OCTANT

First octant (+, +, +) Formed by positive sides of the three axis.

Second octant (-, +, +) Formed by –ve x-axis and positive y and z-axis.

Third octant (-, -, +) Formed by –ve x and y axis with positive z-axis.

Fourth octant (+, -, +) Formed by +ve x and z axis and –ve y-axis.

Fifth octant (+, +, -) Formed by +ve x and y axis with -ve z-axis.

Sixth octant (-, +, -) Formed by –ve x and z axis with positive y-axis.

Seventh octant (-, -, -) Formed by –ve sides of three axis.

Eighth octant (+, -, -) Formed by - ve y and z-axis with +ve x-axis.

Quadrant

First quadrant (+, +)

Second quadrant (+, -)

Third quadrant (-, -)

Fourth quadrant (-, +)

1. Every point in three dimensional space can be described by ------

• coordinates

Three

Q2. What are the direction cosines for the line joining the points (1, 3, 2) and (7, -2, 3)?

and

3. The angles which a line makes with positive x ,y and z-axis are known as ------------ Direction angles Plane parallel to xz-plane
4. Domain of the function f (x, y, z)= x y z is Entire 3D-Space
5. Suppose f (x, y) = xy− 2y where x2 = +3t 1 and y = 2t. Which one of the follo wing is true? df t t dt = −
6. For a function f (x, y, z) , the equation ∂∂22xf +∂∂22yf +∂∂22zf =0 is known as ----------- -- Laplace’s Equation (Ali)
7. Magnitude of vector a → is 2, magnitude of vectorb is 3 and angle between them when placed tail to tail is 45 degrees. What is a b
8. 2

Q8. Let R be a closed region in two dimensional space. What does the double integral over R calculates?

9. Two surfaces are said to be orthogonal at a point of their intersection if their normal at that point are ---------

10.

11. does the double integral over R calculates?