The experimental probability that Alexander wins tennis match is 0.21 or 21/100
1 answer:
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Answer:
The general solution of the equation is y = + 5
Step-by-step explanation:
Since the differential equation is given as y'(t) = 3y -5
The differential equation is re-written as
dy/dt = 3y - 5
separating the variables, we have
dy/(3y - 5) = dt
dy/(3y - 5) = dt
integrating both sides, we have
∫dy/(3y - 5) = ∫dt
∫3dy/[3(3y - 5)] = ∫dt
(1/3)∫3dy/(3y - 5) = ∫dt
(1/3)㏑(3y - 5) = t + C
㏑(3y - 5) = 3t + 3C
taking exponents of both sides, we have
exp[㏑(3y - 5)] = exp(3t + 3C)
3y - 5 =
3y - 5 =
3y = + 5
dividing through by 3, we have
y = + 5
So, the general solution of the equation is y = + 5
Answer:
y = 16
Step-by-step explanation:
Use the given points to find the values of a and b
Using (0, 16), then
16 = a (
= 1 ), thus
a = 16
y = 16
Using (2, 400), then
400 = 16b² ( divide both sides by 16 )
b² = 25 ( take the square root of both sides )
b = = 5
Thus
y = 16 × ← exponential function