To solve the equation [tex]\(3^x = 2^{-x} + 4\)[/tex] using successive approximation, we can follow an iterative approach. Here are the values of [tex]\(x \)[/tex] after each iteration:
1 iteration: [tex]\(x = 1.464973520717927\)[/tex]
2 iterations: [tex]\(x = 1.3407698088600604\)[/tex]
3 iterations: [tex]\(x = 1.3475402553084932\)[/tex]
Therefore, the correct values to select from the drop-down menus are:
1 iteration: [tex]\(x = 1.464973520717927\)[/tex]
2 iterations: [tex]\(x = 1.3407698088600604\)[/tex]
3 iterations: [tex]\(x = 1.3475402553084932\)[/tex]
