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To solve the equation 2sinx = x by Newton-Raphson method, the initial guess was chosen to be x = 2.0. Consider x in radian only. The value of x (in radian) obtained after one iteration will be closest to
- a)– 8.101
- b)1.901
- c)2.099
- d)12.101
Correct answer is option 'B'. Can you explain this answer?
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To solve the equation 2sinx = x by Newton-Raphson method, the initial ...
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To solve the equation 2sinx = x by Newton-Raphson method, the initial ...
1.5708
b) 2.1699
c) 2.1834
d) 2.1863
Solution:
Given equation is 2sinx = x
Let f(x) = 2sinx - x
Using Newton-Raphson method, we have
x1 = x0 - f(x0)/f'(x0)
f(x) = 2sinx - x
f'(x) = 2cosx - 1
x0 = 2.0
f(x0) = 2sin(2.0) - 2.0 = -0.95892
f'(x0) = 2cos(2.0) - 1 = -0.83229
x1 = 2.0 - (-0.95892)/(-0.83229) = 2.1699
Therefore, the answer is (b) 2.1699.
b) 2.1699
c) 2.1834
d) 2.1863
Solution:
Given equation is 2sinx = x
Let f(x) = 2sinx - x
Using Newton-Raphson method, we have
x1 = x0 - f(x0)/f'(x0)
f(x) = 2sinx - x
f'(x) = 2cosx - 1
x0 = 2.0
f(x0) = 2sin(2.0) - 2.0 = -0.95892
f'(x0) = 2cos(2.0) - 1 = -0.83229
x1 = 2.0 - (-0.95892)/(-0.83229) = 2.1699
Therefore, the answer is (b) 2.1699.
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To solve the equation 2sinx = x by Newton-Raphson method, the initial guess was chosen tobe x = 2.0. Consider x in radian only. The value of x (in radian) obtained after one iteration willbe closest toa)– 8.101b)1.901c)2.099d)12.101Correct answer is option 'B'. Can you explain this answer?
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To solve the equation 2sinx = x by Newton-Raphson method, the initial guess was chosen tobe x = 2.0. Consider x in radian only. The value of x (in radian) obtained after one iteration willbe closest toa)– 8.101b)1.901c)2.099d)12.101Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about To solve the equation 2sinx = x by Newton-Raphson method, the initial guess was chosen tobe x = 2.0. Consider x in radian only. The value of x (in radian) obtained after one iteration willbe closest toa)– 8.101b)1.901c)2.099d)12.101Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To solve the equation 2sinx = x by Newton-Raphson method, the initial guess was chosen tobe x = 2.0. Consider x in radian only. The value of x (in radian) obtained after one iteration willbe closest toa)– 8.101b)1.901c)2.099d)12.101Correct answer is option 'B'. Can you explain this answer?.
To solve the equation 2sinx = x by Newton-Raphson method, the initial guess was chosen tobe x = 2.0. Consider x in radian only. The value of x (in radian) obtained after one iteration willbe closest toa)– 8.101b)1.901c)2.099d)12.101Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about To solve the equation 2sinx = x by Newton-Raphson method, the initial guess was chosen tobe x = 2.0. Consider x in radian only. The value of x (in radian) obtained after one iteration willbe closest toa)– 8.101b)1.901c)2.099d)12.101Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To solve the equation 2sinx = x by Newton-Raphson method, the initial guess was chosen tobe x = 2.0. Consider x in radian only. The value of x (in radian) obtained after one iteration willbe closest toa)– 8.101b)1.901c)2.099d)12.101Correct answer is option 'B'. Can you explain this answer?.
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