Construct a computer program in Java that is able to find a zero of the following example function f(x) sin(x+0.2) 1.0 0.5 1.0-05 0.5 1.0 1.5 2.0 2.5 -0.5 You are to find a point on the x-axis where the value of flx) is very close to zero. You will use the bisection method to start until the interval is less than 0.5 in width. Then figure out how to use Newton's method to continue from that point until method using the bisection and Newton's method. f(x) is less that 1.0 e-9 in absolute value. In other words, develop a hybrid Construct a computer program in Java that is able to find a zero of the following example function f(x) sin(x+0.2) 1.0 0.5 1.0-05 0.5 1.0 1.5 2.0 2.5 -0.5 You are to find a point on the x-axis where the value of flx) is very close to zero. You will use the bisection method to start until the interval is less than 0.5 in width. Then figure out how to use Newton's method to continue from that point until method using the bisection and Newton's method. f(x) is less that 1.0 e-9 in absolute value. In other words, develop a hybrid