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# MTH301_Calculus II Aignment No.1 Semester Spring 2013 Solution and Discussion Due Date: 14 May, 2013

MTH301 (SPRING 2013)

Total marks: 0

Lecture # 1 to 8

Due date: May 14, 2013

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• Assignment # 1 is non-graded. Remaining questions are for your practice only therefore, you do not need to send the solution of non-graded questions.
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• This is an individual assignment, not group assignment, so keep in mind that you are supposed to submityour own, self made & different assignment even if you discuss the questions with your class fellows. All similar assignments (even with some meaningless modifications) will be awarded zero marks and no excuse will be accepted. This is your responsibility to keep your assignment safe from others.
• Solve the assignment on MS word document and upload your word (.doc) files only

Question # 1:

The distance between the two points  and is 3. Find the value of.

Question # 2

A vector V is inclined at equal acute angles to Ox, Oy and Oz. If the magnitude of V is 6 units, find V.

Question # 3

Find the Natural domain and the range of the following functions:

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### Replies to This Discussion

Distance between two points Definition:
The distance between two points on the three dimension of the xyz-plane can be calculated using the distance formula.

Distance between two points(3 dimension) Formula::

Distance between two points:

where
(x1, y1, z1)  (x2, y2, z2) are any two points on the cartesian plane.

Distance between two points Example
Find the distance between the points (1, 2, 3), (1, 3, 2).

x1 = 1, y1 = 2, z1 = 3 and
x2 = 1, y2 = 3, z2 = 2

Substitute in the formula as :

The above example will clearly illustrates how to calculate the Distance between two points on three dimension manually.

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o Thank u Jee

sweet doll gud keep it up & thanks ..

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Question No 1 :
The distance between the two points   and  is 3. Find the value of .

squaring on both sides

a-3=0              ;      a-3=0
a=3                         a=3

Question No 2 :
A vector V is inclined at equal acute angles to Ox, Oy and Oz. If the magnitude of V is 6 units, find V.

let V is inclined at each axis , then
l=m=n=cosa
Since
l2+m2+n2=1
cos2a+cos2a+cos2a=1
3cos2a=1
cos2a-1/3

In a is acute

Question No 3:
Find the Natural domain and the range of the following functions:
1)
2)
3)

Question No 4:
If  and , then find the value of .

Thank you tariq bhai

Assignment # 1 is non-graded. Remaining questions are for your practice only therefore, you do not need to send the solution of non-graded questions.

jee farhan is lie is assginment ko submit karwane ki zarorat nai hai

koi 3 question he kara dai

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