Consider the following equation. cos x = x3 (a) Prove that the equation has at least one real root. f(x) = cos x − x3 is continu
ous on the interval [0, 1], f(0) = 0, and f(1) = cos 1 − 1 ≈ −0.46 0. Since 0 −0.46, there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation cos x − x3 = , or cos x = x3, in the interval (0, 1). (b) Use your calculator to find an interval of length 0.01 that contains a root.
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Answer:
So,converting 150 mile per hour into miles per second we get 0.0416 miles per second
Step-by-step explanation:
Given:
Helicopter files at: 150 miles per hour
Required:
We need to convert 150 miles per hour to miles per second
Solution:
We know that,
So, 150 mile per hour will be: (We will be dividing 150 by 3600 to get miles per second)
So,converting 150 mile per hour into miles per second we get 0.0416 miles per second