Answer:
M = 1/0.000121 = 8264.5 years
Step-by-step explanation:
M = − k ∫∞₀ teᵏᵗdt
To obtain this mean life, we'll use integration by parts to integrate the function ∫ teᵏᵗdt
∫udv = uv - ∫ vdu
u = t
du/dt = 1
du = dt
∫ dv = ∫ eᵏᵗdt
v = eᵏᵗ/k
∫udv = ∫ teᵏᵗdt
uv = teᵏᵗ/k
∫ vdu = eᵏᵗ/k
∫ teᵏᵗdt = (teᵏᵗ/k) - ∫eᵏᵗ/k
But, ∫eᵏᵗ/k = (1/k) ∫eᵏᵗ = (1/k²) eᵏᵗ = eᵏᵗ/k²
∫ teᵏᵗdt = (teᵏᵗ/k) - eᵏᵗ/k²
The rest of the calculation is done on paper in the image attached to this question
Answer:
x = -1
, y = 1
Step-by-step explanation:
Solve the following system:
{5 x + 3 y = -2 | (equation 1)
3 x + 2 y = -1 | (equation 2)
Subtract 3/5 × (equation 1) from equation 2:
{5 x + 3 y = -2 | (equation 1)
0 x+y/5 = 1/5 | (equation 2)
Multiply equation 2 by 5:
{5 x + 3 y = -2 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{5 x+0 y = -5 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -1 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = -1
, y = 1
Answer:
2
Step-by-step explanation:
Answer:
9-3x=20
Step-by-step explanation:
It is the wordplay
if its 45 miles per hour then, 0.75 mile/minute.
