Question

2) A real root of the equation xsinx + cosx = 0 near x = 0 using Newton
Raphson Method is
a) 3.8333
b)2.8233
c) 4.2333
d]8.2333​

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

The correct answer is option (b)2.8233.

Explanation:

• A real root of the equation xsinx + cosx = 0 near x = 0 using Newton Raphson Method is 2.8233.
• The Newton-Raphson method (also known as Newton's method) is a way to quickly find a good approximation for the root of a real-valued function 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.
• The Newton-Raphson method, or Newton Method, is a powerful technique for solving equations numerically. Like so much of the differential calculus, it is based on the simple idea of linear approximation.
• The Newton Method, properly used, usually homes in on a root with devastating efficiency.