Answer:
C. 1.214
Step-by-step explanation:
P(t) = 2 + 5 tan⁻¹(t/2)
When P(t) = 6, the value of t is:
6 = 2 + 5 tan⁻¹(t/2)
4 = 5 tan⁻¹(t/2)
4/5 = tan⁻¹(t/2)
tan(4/5) = t/2
t = 2 tan(4/5)
t ≈ 2.059
The instantaneous rate of change of P(t) is dP/dt:
dP/dt = 5 / (1 + (t/2)²) × 1/2
dP/dt = 5 / (1 + t²/4) × 1/2
dP/dt = 20 / (4 + t²) × 1/2
dP/dt = 10 / (4 + t²)
At t = 2.059:
dP/dt ≈ 1.214
Here's a graph:
desmos.com/calculator/7leerprg4i
Answer:
59049 each term is the last multiplied by -3.
Answer: I gotta say forever 21, American eagle, rue21, and Aeropostale.
Step-by-step explanation:
Answer:
Millimeters per hour.
Step-by-step explanation:
Since its a water sprinkler, you would know that it doesn't cover miles of land, nor is it a food, so it isn't grams. Meters would seem like the right answer, but if you calculate meters to millimeters, you would see that meters are not covered in seconds. So the correct answer is millimeters per hour.
The answer is the point that does not have y equal to 7.
Note: (x, y) = (7, -1)
The point (7, -1) shows an x-value of 7 and a y-value of -1.
Answer: (7, -1).