A) Prove that the question has atleast one real root. b) Use yuour calculator to find an interval length .01 that contains a root. cos x= x^3 Solution To prove that the equation has a real root: Transform the equation to y = cos(x) - x^3 Graph the equation. Find some number where y is negative. Find another number where it is positive. In between, there must be a point where y = 0..

1. A) Prove that the question has atleast one real root.
b) Use yuour calculator to find an interval length .01 that contains a root.
cos x= x^3
Solution
To prove that the equation has a real root: Transform the equation to y = cos(x) -
x^3 Graph the equation. Find some number where y is negative. Find another number where it is
positive. In between, there must be a point where y = 0.