Answer
(a) dy/dt = 68 - 3.72t
(b) 64.28 m/s
Step-by-step explanation:
Given y = 68t - 1.86t²
The average speed describes the change in distance over time, represented by dy/dt.
To find dy/dt, we differentiate y with respect to t, resulting in:
dy/dt = 68 - 2(1.86)t
= 68 - 3.72t
(a) dy/dt = 68 - 3.72t
(b) To determine the speed at t = 1, input t = 1 into dy/dt.
dy/dt at t = 1 is:
68 - 3.72(1)
= 68 - 3.72
= 64.28
The speed at t = 1 amounts to 64.28 m/s
1 nanometer = 1 * 10^9 meters
therefore, 1 nanometer = 1 * 10^7 centimeters
375 nanometers = 3.75 * 10^5 centimeters
Answer:
The domain of f(x) indicates x > -2, meaning the range of f-1(x) will be y > -2
The range of f(x) identifies y > -1, thus the domain of f-1(x) is x > -1
Step-by-step explanation:
Answer: New square side length = 19 feet.
Step-by-step explanation:
Given that
Floor area = 228 square feet
Increasing the floor area by 50%
Our new area becomes
Thus, the side length of the new square will be
