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ryzh [129]
3 years ago
9

(a) Use Euler's method with step size 0.2 to estimate y(1.4), where y(x) is the solution of the initial-value problem y' = 3x −

3xy, y(1) = 0. (Round your answer to four decimal places.) y(1.4) =

Mathematics
1 answer:
Archy [21]3 years ago
5 0

Answer:

Step-by-step explanation:

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The next numbers are 32 and -64 the pattern multiplies by -2
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Use the drawing tools to form the correct answers on the graph. Draw the lines representing the vertical and horizontal asymptot
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vertical asymptote X=-1

horizontal asymptote Y=2

Step-by-step explanation:

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3 years ago
Write the equation of the line that passes through the points (- 5, 1) and (2, 0) . Put your answer in fully reduced slope inter
Doss [256]

Answer:

y=-1/7x + 12/7

Step-by-step explanation:

Start by finding the slope

m=(1-0)/(-5-2)

m=-1/7

next plug the slope and the point (-5,1) into point slope formula

y-y1=m(x-x1)

y1=1

x1= -5

m=-1/7

y- 1 = -1/7(x - -5)

y-1=-1/7(x+5)

Distribute -1/7 first

y- 1=-1/7x + 5/7

Add 1 on both sides, but since its a fraction add 7/7

y=-1/7x + (5/7+7/7)

y=-1/7x+12/7

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3 years ago
The distance a car has traveled can be represented by the equation d = 1.4m, where d represents the distance in miles and m repr
ValentinkaMS [17]

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It is the velocity of the car, the speed.

5 0
3 years ago
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial
GREYUIT [131]

Answer:

P(0) = 7,917

Step-by-step explanation:

The population of the community is given by the following formula:

P(t) = P(0)(1+r)^{t}

In which P(0) is the initial population and r is the growth rate.

The initial population P0 has doubled in 5 years.

This means that

P(5) = 2P(0)

Which lets us find r.

P(t) = P(0)(1+r)^{t}

2P(0) = P(0)(1+r)^{5}

(1+r)^{5} = 2

Applying the 5th root to both sides

1+r = 1.1487

r = 0.1487

So

P(t) = P(0)(1.1487)^{t}

Suppose it is known that the population is 12,000 after 3 years.

With this, we find P(0)

P(t) = P(0)(1.1487)^{t}

12000 = P(0)(1.1487)^{3}

1.5157P(0) = 12000

P(0) = \frac{12000}{1.5157}

P(0) = 7917

4 0
3 years ago
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