Step-by-step explanation:
arctan(x) is less than π/2 for x > 0. Therefore, if we say g(x) = 13 (π/2) / eˣ, then f(x) < g(x) for all values of x > 0.
g(x) = 13 (π/2) / eˣ
g(x) = 13π/2 · (1/e)ˣ
So g(x) is a geometric series where r = 1/e. Since |r| < 1, the series converges.
Since g(x) converges, the smaller f(x) also converges.
Answer:
The length of the rectangle is of 9 units.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



Area of a rectangle:
A rectangle has width
and length
. The area is the multiplication of these measures, that is:

The length of a rectangle is the sum of the width and one.
This means that
, or 
The area direct angle 72 units. What’s the length, in units, of the rectangle
We want to find the length. So



Quadratic equation with
. So



Since the length is a positive measure, the length of the rectangle is of 9 units.
Answer:
Distance = 54 miles (Approx)
Step-by-step explanation:
Given:
Co-ordinate of two point = (0.5,135) and (2,81)
Find:
Distance
Computation:
Distance = √(x1-x2)²+(y1-y2)²
Distance = √(2-0.5)²+(81-135)²
Distance = √2.25 + 2916
Distance = 54 miles (Approx)
Answer:
416 I believe.
Step-by-step explanation:
add 7 to 149
divide 156 by 3 to get 1/8 of total.
Get 52 and then multiply by 8 to get 416
Answer:
1,3,9
Gcf: 9
Step-by-step explanation: