Question

01. Solve the following transcendental equation using Newton's Rhapson's Method. Cos x - 3x + 1 = 0.​

Answer 1

Explanation:

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Answer 2

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Explanation:

The Newton-Raphson method is a way to quickly find a good approximation for the root of a real-valued

function  like f ( x ) = 0 f(x) = 0 f(x)=0.

It uses the idea that a continuous and differentiable function can be approximated by a straight line tangent to it.

Step 1: Find points a and b such that a<b and f(a)⋅f(b)<0.

Step-2: Take the interval [a,b] and find next value x0=a+b2

Step-3: Find f(x0) and f′(x0) x1=x0-f(x0)f′(x0)

Step-4: If f(x1)=0 then x1 is an exact root, else x0=x1