Answer: The average rate of change of Jack's investment from the third year to the fifth year is $6.43
Step-by-step explanation:
The function that defines the value of his investment after x years,
Putting the value of x as 3 and 5, we can get the value of his investment after 3 years and 5 years respectively.
Plug in 3 for y
8(3)^2-(3)-8
8(9)-3-8
72-3-8 = 61
Answer: 5/4x
Step-by-step explanation:
To solve this you'll need to use the slope formula which is
Y2 - Y1 over
X1 - X2
You already have two points so that's what we'll use.
(4, 7) (12, 17)
17 - 7
12 - 4 = 10/8
10/8 can be simplified further to 5/4
<span>let:
X = the distance of the bottom of the ladder from the wall at any time
dX/dt = rate of travel of the bottom of the ladder = 1.1 ft/sec
A = the angle of the ladder with the ground at anytime
dA/dt = rate of change of the angle in radians per second
X = 10 cos A
dX/dt= -10 sin A dA/dt = 1.1
dA/dt = -1.1/(10 sinA)
When X = 6; cosA = 6/10; sinA = 8/10
Therefore:
dA/dt = -1.1/(10 x 0.8) = -0.1375 radiant per second. </span>
