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:
B
Step-by-step explanation:
Euler's formula for polyhedra states that
F + V - E = 2
(F is faces, V is vertices and E is edges )
Here F = 6 and E = 12, thus
6 + V - 12 = 2, that is
V - 6 = 2 ( add 6 to both sides )
V = 8 → B
Answer A : 2.4.
Take 4 x 3 =12 then 12:5 = 2.4
The answer to this would be:
h= 10
Answer:
AA similarities
Step-by-step explanation:
FG //KJ
FHG=JHK
others by alternate angles