Exam Details
| Subject | Mathematics-III | |
| Paper | ||
| Exam / Course | B.Tech Civi Engg. (BTCLEVI)/B.Tech Electronics And Communication Engg. (BTECVI) | |
| Department | School of Engineering & Technology (SOET) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | December, 2016 | |
| City, State | new delhi, |
Question Paper
No. of Printed Pages: 4 IBICE-0071
B.Tech. -VIEP -Computer Science Engg. (BTCSVI) I B.Tech. Electronics and Communication Engg. (BTECVI) I B.Tech. Electrical Engg. (BTELVI)
Term-End Examination 00363 December, 2016
BICE-007 MATHEMATICS-III
Time hours Maximum Marks: 70
Note: All questions are compulsory. Use of scientific calculator is permitted.
1. Answer all of the following: 2x7=14
Determine the analytic function whose real part is cos y -2xy sin y].
Evaluate Integral( 3z^2 z dz, where Mod(z =1.
2. Answer any two of the following: 2x7=14
The first four moments of a distribution about the value 4 of the variable are 17, -30 and 108. Find the moments about the origin. State whether the distribution is leptokurtic or platykurtic.
In a partially destroyed laboratory record for analysing correlation data, the following results are left
Variance x
Regression lines are 8x -10y 66
40x -18y 214.
Determine from the above information
the mean values of x and and
the coefficient of correlation between x and y.
A survey was conducted to find the supplies of the consumer durables for the market. It was found that the three major companies B and C have market share of 25% and 40% respectively out of which and are not up to the satisfaction. A consumer buys a product and is dissatisfied with it. What is the probability that it is from the company C
3. Answer any two of the following: 2x7=14
Compute the variance of the probability of the number of doublets in four throws of a pair of dice.
A manufacturer knows that the condensers, he makes contain on an average defectives. He packs them in boxes of 100. What is the probability that a box selected at random will contain 3 or more defective condensers? .
A sample of 100 dry cells tested to find the length of life, produced the following results:
X 12 hours, a 3 hours.
Assuming the data to be normally distributed, what percentage of the cells are expected to have life
more than 15 hours?
less than 6 hours
between 10 and 14 hours
4. Answer any two of the following: 2x7==14
By using Bisection method, find the root of the equation xe^x 1 up to three decimal places.
Find a root of the following equation using the Regula-Falsi method, correct to three decimal places:
x^3
By Newton-Raphson method, solve the following equation and find the real root:
x sinx cosx=0
5. Answer any two of the following: 2x7=14
Solve the following equations by Gauss-Seidel method
2x+y+4z 7
2z
4y 2z =5.
The velocity of a car which starts initially from rest at intervals of 2 minutes, is given as:
Time Velocity
(minutes) (km/hr)
2 22
4 30
6 27
8 18
10 7
12 0
Apply Simpson's 3/8 rule to find the distance covered by the car:
Given that dy dx 1 xy, 2. Use fourth order method to find y(0.2).
B.Tech. -VIEP -Computer Science Engg. (BTCSVI) I B.Tech. Electronics and Communication Engg. (BTECVI) I B.Tech. Electrical Engg. (BTELVI)
Term-End Examination 00363 December, 2016
BICE-007 MATHEMATICS-III
Time hours Maximum Marks: 70
Note: All questions are compulsory. Use of scientific calculator is permitted.
1. Answer all of the following: 2x7=14
Determine the analytic function whose real part is cos y -2xy sin y].
Evaluate Integral( 3z^2 z dz, where Mod(z =1.
2. Answer any two of the following: 2x7=14
The first four moments of a distribution about the value 4 of the variable are 17, -30 and 108. Find the moments about the origin. State whether the distribution is leptokurtic or platykurtic.
In a partially destroyed laboratory record for analysing correlation data, the following results are left
Variance x
Regression lines are 8x -10y 66
40x -18y 214.
Determine from the above information
the mean values of x and and
the coefficient of correlation between x and y.
A survey was conducted to find the supplies of the consumer durables for the market. It was found that the three major companies B and C have market share of 25% and 40% respectively out of which and are not up to the satisfaction. A consumer buys a product and is dissatisfied with it. What is the probability that it is from the company C
3. Answer any two of the following: 2x7=14
Compute the variance of the probability of the number of doublets in four throws of a pair of dice.
A manufacturer knows that the condensers, he makes contain on an average defectives. He packs them in boxes of 100. What is the probability that a box selected at random will contain 3 or more defective condensers? .
A sample of 100 dry cells tested to find the length of life, produced the following results:
X 12 hours, a 3 hours.
Assuming the data to be normally distributed, what percentage of the cells are expected to have life
more than 15 hours?
less than 6 hours
between 10 and 14 hours
4. Answer any two of the following: 2x7==14
By using Bisection method, find the root of the equation xe^x 1 up to three decimal places.
Find a root of the following equation using the Regula-Falsi method, correct to three decimal places:
x^3
By Newton-Raphson method, solve the following equation and find the real root:
x sinx cosx=0
5. Answer any two of the following: 2x7=14
Solve the following equations by Gauss-Seidel method
2x+y+4z 7
2z
4y 2z =5.
The velocity of a car which starts initially from rest at intervals of 2 minutes, is given as:
Time Velocity
(minutes) (km/hr)
2 22
4 30
6 27
8 18
10 7
12 0
Apply Simpson's 3/8 rule to find the distance covered by the car:
Given that dy dx 1 xy, 2. Use fourth order method to find y(0.2).
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