Answer:
Step-by-step explanation:
area of square=8²=64 m²
radius of each circular arc at the corner=8/2=4 m
area of four circular arcs=4×1/4 ×π×4²=16 π m²
area of shaded region=64-16π=16(4-π)≈13.73 m²
Answer:
Step-by-step explanation:
Answer:
$340
Step-by-step explanation:
The pool is 5 yards wide by 10 yards long, so adding the deck will make the total area 7 yards wide by 12 yards long, or ...
(7 yd)·(12 yd) = 84 yd^2
The pool itself is ...
(5 yd)·(10 yd) = 50 yd^2
so the area of the deck is ...
84 yd^2 -50 yd^2 = 34 yd^2
Wood for each of those square yards costs $10, so the total cost is ...
($10/yd^2)·(34 yd^2) = $340
For a function (fn) to be odd:
f(x) = - f(-x)
For a fn to be even:
f(x) = f(-x)
For a fn to be neither even nor odd
f(x) != f(-x) [No Relation]
(-x)^n = x^n for n -> even
(-x)^n = -x^n for n -> odd
In your example:
f(x) = -4x^3 + 4x
f(-x) = -4 (-x)^3 + 4 (-x)^1 ( 3 and 1 are odd powers )
f(-x) = 4x^3 - 4x (take -1 common to do the check)
f(-x) = -( -4x^3 + 4x ) = - f(x) [between the bracket was the original fn]
f(x) = - f(-x)
so the function is odd also called symmetric about the origin
