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ira [324]
3 years ago
13

Evaluate 2^3x-1 for x = 1.

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
5 0

Answer:

4

Step-by-step explanation:

sammy [17]3 years ago
3 0

Answer:

this don't make any sense bro

Step-by-step explanation:

what is the number in between 2 3

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Chen can jump rope 60 times a minute at that rate how many jumps can he make in 9 minutes
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What percent of 60 is 12? Show your work.
Semmy [17]
Percent formula : is/of = %/100
is = 12
of = 60
% = x
now we sub

12/60 = x/100
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0.20(60) = 12
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so 20% of 60 is 12
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A one-parameter family of solutions of the DE P' = P( 1 - P) is given below. P = c1et/1 + c1et Does any solution curve pass thro
topjm [15]

Answer:

a. The curve P(t) = -\frac{6e^t}{5-6e^t} passes through the point (0, 6)

b. No solution of the curve P(t) passes through the point (0, 1)

Step-by-step explanation:

Consider the family of the solution of DE P' = P(1 - P) is P = \frac{c_1e^t}{1 + c_1e^t}

a. If any solution passes through the point (0, 6), then there is c_1 such that the point (0, 6) satisfies the solution P = \frac{c_1e^t}{1 + c_1e^t}

Substitute t = 0, P = 6 in P = \frac{c_1e^t}{1 + c_1e^t} and then solve the equation to obtain c_1

P(t) = \frac{c_1e^t}{1 + c_1e^t}\\P(0) = \frac{c_1e^0}{1+c_1e^0}\\ 6 = \frac{c_1}{1 + c_1}\\ c_1 =  -\frac{6}{5}

Therefore, the curve P(t) = -\frac{6e^t}{5 - 6e^t} passes through the point (0, 6)

b.  If any solution passes through the point(0, 1), then there is c_1 such that the point (0, 1) satisfies the solution P = \frac{c_1e^t}{1+c_1e^t}

P(t) = \frac{c_1e^t}{1 + c_1e^t}\\ P(0) = \frac{c_1e^0}{1 + c_1e^0}\\ 1 = \frac{c_1}{1+c_1} \\1 + c_1 = c_1

this is not possible

Hence, there is no curve P(t) that exists which passes through the point (0, 1)

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