Question

4. Find the positive root of the equation 3x+sinx-e' using Regula Falsi method and correct upto 4 decimal places.
a) 0.4604
b) 0.4306
C) 0.3604
d) 0.4304
O
a)
Ob)​

Answer 1

Answer:

Find the positive root of the equation 3x+sinx-ex using Regula Falsi method and correct upto 4 decimal places. Therefore, x1 becomes b to find the next point. Therefore, x2 becomes b to find the next point. Therefore, x3 becomes b to find the next point.

Answer 2

The positive root of the equation 3x+sinx-e' using Regula Falsi method:

Explanation:

• f(1) = 1.123189156
• Therefore, root lies between 0 and 1
• a = 0; f(a) = -1
• b = 1; f(b) = 1.123189156
• Substituting the values in the formula,
• x = bf(a)−af(b)/f(a)−f(b),
• By solving it, we get
• The positive root corrected to 4 decimal places is 0.3604.
• C) 0.3604 is the correct answer.