Question

 Use Newton’s method to find all roots of the equation cor- rect to six decimal places.

3 cos x = x + 1

Answer 1

Step 1:

The equation is .

Consider the function .

Apply derivative on each side with respect to .

.

Newtons method:

Step 2:

Consider .

.

Step 3:

.

Solution :

The roots of the equation are,

.

.

.