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4 years ago

General solution to differential equation dy/dx=100x+xy

1 answer:

8 0

Dy/dx - xy = 100x

this a first order linear differential equation which can be solved using an integrating factor.

I. F. = e^INT(-xdx) = e^(-1/x^2)

now multiply each term by the IF to solve it

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PQR is reflected over the x-axis. What are the coordinates of Q’?

Brut [27]

Answer:

I don't think that there is a way to know without a graph. Sorry.

Step-by-step explanation:

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3 years ago

Simplify the expression given below x^2 + x-2

tamaranim1 [39]

X^2+x-2
Pls mark brainliest

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3 years ago

What is the point slope form of a line with slope 3 that contains the point (2, 1)

Rudik [331]

Answer:

y - 1 = 3(x - 2)

y - 1 = 3x - 6

y = 3x - 5

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3 years ago

Read 2 more answers

The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. A

anygoal [31]

Answer:

The 90% confidence interval for the mean usage of electricity is between 17.4 kwH and 17.6 kwH

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645*\frac{2.4}{\sqrt{796}} = 0.14$

The lower end of the interval is the mean subtracted by M. So 17.5 - 0.14 = 17.4 kwH

The upper end of the interval is M added to the mean. So 17.5 + 0.14 = 17.6 kwH

The 90% confidence interval for the mean usage of electricity is between 17.4 kwH and 17.6 kwH

4 0

3 years ago

The width of a rectangle is 4 units shorter than three-fourths the length; x. Write an expression that represents the perimeter

qaws [65]

The expression that represents the perimeter of the rectangle is 4x² + 14x - 3 = 0

<h3>How to determine the expression</h3>

The formula for perimeter of a rectangle is given as;

Perimeter = 2 ( length + width)

Let the length of the rectangle be x

Width of the rectangle be y

From the information given, we have that;

y = 4 - 3/4x

Make into linear equation

y = 16x - 3 / 4x

Now, let's substitute the variables into the formula

Perimeter = 2 ( $\frac{16x -3 }{4x} + x$ )

Find the LCM of the bracket

Perimeter = $2(\frac{16x - 3 + 4x^2}{4x} )$

Perimeter = $\frac{4x^2 + 16x - 3}{2x}$

2x = 4x² + 16x - 3

Collect like terms

4x² + 16x - 2x - 3 = 0

4x² + 14x - 3 = 0

Thus, the expression that represents the perimeter of the rectangle is 4x² + 14x - 3 = 0

Learn more about a rectangle here:

brainly.com/question/25292087

#SPJ1

6 0

2 years ago