Let s(x) = x^2 - cos x. a prove that has exactly one root on the interval (0.5, 0.9]. b) use the bisection method starting with the interval (0.5, 0.9] to approximate the solution to within 0.001 . show a, b & midpt at each step. justify why the number of iterations performed is sufficient. c) determine the number of steps of the bisection method that would be necessary to guarantee an absolute error of less than 10 -". (note that n steps means that the nth midpoint is accepted as the approximation.)

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.