The average rate of change for the function f(x) can be calculated from the following equation

By applying the last formula on the given equations
(1) the first function f
from the table f(3π/2) = -2 and f(2π) = 0
∴ The average rate of f =

(2) the second function g(x)
from the graph g(3π/2) = -2 and g(2π) = 0
∴ The average rate of g =

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h =
By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>
So, the correct answer is option <span>
C) h(x)</span>
Answer:
45
Step-by-step explanation:
They add up to 90, so 90 - 45 = 45 degrees
Answer:
x=1,13
Step-by-step explanation:
(x – 7)^2 = 36
Take the square root of each side
sqrt((x – 7)^2) = sqrt(36)
x-7 = ±6
x-7 = 6 x-7 =-6
Add 7 to all sides
x-7+7 = 6+7 x-7+7 = -6+7
x = 13 x=1
Answer:
2232.48 meters
Step-by-step explanation:
From the diagram:
Radius of semicircle = 74
Length of straightway on each side = 1000
The length of school track :
Straightway on each side = 2 * 1000 m = 2000m
Length of semicircle = πr/2
Length of both semicircle = 2 * 3.142 * 74 /2 = 232.47785
Total Length = ( 2000 + 232.47785) = 2232.48 meters