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Fall 2016, ASS
IGNMENT
PROGRAM-BCA(REVISED
FALL 2012)
SEMESTER-3
SUBJECT CODE &
NAME BCA3010 -COMPUTER ORIENTED NUMERICAL METHODS
CREDIT-4
BK ID-B1643
MAX. MARKS-60
Q1. Find the Taylors Series for 𝑓(𝑥) = 1/𝑥2about 𝑥0 = −1
Answer:
Solution: We know the Taylor’s series expansion
of function at
2. Use the Regula-Falsi method to compute a real
root of the equation x3 – 9x + 1 = 0, if the root lies between 2 and
4.
Answer:
Let f(x) = x3 – 9x + 1. Now f(2) = – 9 and f(4) =
29.
Since f(2) and f(4) are of opposite signs, the root of
f(x) = 0 lies between 2
and 4.
Take x1 = 2 and x2 = 4.
3. Solve by Gauss elimination method.
2x + y + 4z = 12
4x + 11y – z = 33
8x – 3y + 2z = 20
Answer:
The
augmented matrix of the
4. For the
approximate value of 
by simpson’s 1/3rd rule
by dividing 
into 6 equal parts
by simpson’s 1/3rd rule
by dividing into 6 equal parts
Solution.
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Solution:
Here
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a = 0,
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b =
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p
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n = 6,
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Q5. Use Picard’s
method of successive approximations to find y1,y2, y3 to the solution of the initial value problem 𝑦′
= 𝑑𝑦/𝑑𝑥=
𝑦, given that y =2 for x = 0. Use y3 to estimate the value of y
(0.8).
Solution.
Solution:
On
Q6. Solve x
y”+ y = 0, y ‘(1) = 0, y(2) = 1, h = ½
10
Solution.
Get fully solved assignment. Buy online from website
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plz drop a mail with your sub code
we will revert you within 2-3 hour or immediate
Charges rs
125/subject
if urgent then
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