Chapter 5, Problem 9P

Find the smallest positive root of the function (x is in radians) $x^2\left|\text{cos }\sqrt{x}\right|=5$ using the false-position method. To locate the region in which the root lies, first plot this function for values of x between 0 and 5. Perform the computation until ${\epsilon }_a\text{ falls below }{\epsilon }_s=1\%$. Check your final answer by substituting it into the original function.