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:
Step-by-step explanation:
You need to give all the fractions a common denominator so you can compare the numerators.
The least common multiple of 5, 8, 16, 4, 3 is 240.
⅖ = 96/240
⅞ = 210/240
15/16 = 225/240
¾ = 180/240
⅜ = 90/240
⅓ = 80/240
The only numerator between 96 and 210 is 180.
180/240 = ¾
⅖ < ¾ < ⅞
He / she didn’t drop down the 2 after subtracting 19 from 242, instead he / she dropped down a 0.
Answer:
Perosnally i think it is not a solution but let me check that for you!
Step-by-step explanation: