Answer:
Show that if for some where , then by Rolle's Theorem for some . However, no such exists since for all .
Note that Rolle's Theorem alone does not give the exact value of the root. Neither does this theorem guarantee that a root exists in this interval.
Step-by-step explanation:
The function is continuous and differentiable over . By Rolle's Theorem. if for some where , then there would exist such that .
Assume by contradiction does have more than one roots over . Let and be (two of the) roots, such that . Notice that just as Rolle's Theorem requires. Thus- by Rolle's Theorem- there would exist such that .
However, no such could exist. Notice that , which is a parabola opening upwards. The only zeros of are and .
However, neither nor are included in the open interval . Additionally, , meaning that is a subset of the open interval . Thus, neither zero would be in the subset . In other words, there is no such that . Contradiction.
Hence, has at most one root over the interval .
Your answer would be 49,868.
They are the same because 1/3 is 1 divide 3 is equal to 0.33333333 which is like forever 3 so it would be 0.33
Complete question is;
The lengths of two sides of a right triangle ABC are given.
Find the length of the missing side.
b = 16 ft and c = 30 ft
Answer:
25.377 ft
Step-by-step explanation:
From online sources, c is the hypotenuse of the triangle.
Thus, we can use pythagoras theorem to solve for the other side of the right angle triangle.
c² = a² + b²
Where a is the length of the missing side.
Thus;
30² = a² + 16²
a² + 256 = 900
a² = 900 - 256
a² = 644
a = √644
a = 25.377 ft