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2 years ago

Use the laplace transform to solve the given initial-value problem. y' + y = (t − 1), y(0) = 3

1 answer:

5 0

In mathematics, the Laplace transform, named after its discoverer Pierre Simon Laplace, transforms a function of real variables (usually in the time domain) into a function of complex variables (in the time domain). is the integral transform that Complex frequency domain, also called S-area or S-plane).

Learn more about Laplace transform here brainly.com/question/17062586

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A 15-m2 wooded area has the following: 30 ferns, 150 grass plants, and 6 oak trees. What is the population density per m2 of eac

swat32

Answer:

See the procedure

Step-by-step explanation:

we know that

To find the population density per m² of each of the above species, divide the amount of each species by the total area

<em>Ferns</em>

$\frac{30}{15}=2\frac{ferns}{m^{2}}$

<em>Grass plants</em>

$\frac{150}{15}=10\frac{grass\ plants}{m^{2}}$

<em>Oaks Trees</em>

$\frac{6}{15}=0.4\frac{oaks\ trees}{m^{2}}$

8 0

3 years ago

Buying a $36,000 new hybrid SUV with $3000 paid up front and the rest borrowed at 4.2%

Studentka2010 [4]

From the calculations, the total amount paid for the SUV is $43,708.

<h3>What is compound interest?</h3>

The term compound interest has to do with an interest that is charged in both the principal and the interest.

In this case, the amount that was borrowed is $36,000 - $3000 = $33,000. Using the formula;

A = P(1 + r/n)^nt

P = $33,000

r = 4.2%

n = 52

t = 5 years

A = 33,000(1 + 0.042/52)^(52 * 5)

A = $40,708

Total amount paid = $40,708 + $3000 = $43,708

Learn more about compound interest:brainly.com/question/14295570?

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3 0

2 years ago

What is the equation of a line that is perpendicular to y = 3x -2 and passes

White raven [17]

Answer:

A. y=-1/3x+10

Step-by-step explanation:

Perpendicular gradients(slopes) are negative reciprocals so

m=-1/3 then use the point (6,8) to find the equation of the line

y=mx+b

8=(-1/3)(6)+b

8=-2+b

b=10

y=-1/3x+10

7 0

2 years ago

Write the fact family. for 6, 4, 24

GarryVolchara [31]

$4 \times 6 = 24 \\ 6 \times 4 = 24 \\ 24 \div 6 = 4 \\ 24 \div 4 = 6$
That's it :3

8 0

3 years ago

Read 2 more answers

N-

pogonyaev

Answer:

The answer is (0, 2)

Step-by-step explanation:

Ive also had this question and viewed iver it and said it was right this was some time ago but im glad to help :)

6 0

3 years ago