Answer:
Step-by-step explanation:
Answer:
a) y-8 = (y₀-8) , b) 2y -5 = (2y₀-5)
Explanation:
To solve these equations the method of direct integration is the easiest.
a) the given equation is
dy / dt = and -8
dy / y-8 = dt
We change variables
y-8 = u
dy = du
We replace and integrate
∫ du / u = ∫ dt
Ln (y-8) = t
We evaluate at the lower limits t = 0 for y = y₀
ln (y-8) - ln (y₀-8) = t-0
Let's simplify the equation
ln (y-8 / y₀-8) = t
y-8 / y₀-8 =
y-8 = (y₀-8)
b) the equation is
dy / dt = 2y -5
u = 2y -5
du = 2 dy
du / 2u = dt
We integrate
½ Ln (2y-5) = t
We evaluate at the limits
½ [ln (2y-5) - ln (2y₀-5)] = t
Ln (2y-5 / 2y₀-5) = 2t
2y -5 = (2y₀-5)
c) the equation is very similar to the previous one
u = 2y -10
du = 2 dy
∫ du / 2u = dt
ln (2y-10) = 2t
We evaluate
ln (2y-10) –ln (2y₀-10) = 2t
2y-10 = (2y₀-10)
Tara was right terrence was close but he put the(.) in the wrong spot the correct answer is 243.984 but terrence put 2439.84
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Answer: 2nd answer
Step-by-step explanation:
Kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections.
Answer:
Step-by-step explanation:
The calculation of the value of p minimizes is shown below:-
We will assume the probability of coming heads be p
p(H) = p
p(T) = 1 - P
Now, H and T are only outcomes of flipping a coin
So,
P(TTH) = (1 - P) = (1 - P) (1 - P) P
= (1 + P^2 - 2 P) P
= P^3 - 2P^2 + P
In order to less N,TTH
we need to increase P(TTH)
The equation will be
3P^2 - 4P + 1 = 0
(3P - 1) (P - 1) = 0
P = 1 and 1 ÷ 3
For P(TTH) to be maximum
= 6P - 4
and
(6P - 4) is negative which is for
