Please I’m really bad at these

KengaRu [80]

Answer with Step-by-step explanation:

The given differential euation is

$\frac{dy}{dx}=(y-5)(y+5)\\\\\frac{dy}{(y-5)(y+5)}=dx\\\\(\frac{A}{y-5}+\frac{B}{y+5})dy=dx\\\\\frac{1}{100}\cdot (\frac{10}{y-5}-\frac{10}{y+5})dy=dx\\\\\frac{1}{100}\cdot \int (\frac{10}{y-5}-\frac{10}{y+5})dy=\int dx\\\\10[ln(y-5)-ln(y+5)]=100x+10c\\\\ln(\frac{y-5}{y+5})=10x+c\\\\\frac{y-5}{y+5}=ke^{10x}$

where

'k' is constant of integration whose value is obtained by the given condition that y(2)=0\\

$\frac{0-5}{0+5}=ke^{20}\\\\k=\frac{-1}{e^{20}}\\\\\therefore k=-e^{-20}$

Thus the solution of the differential becomes

$\frac{y-5}{y+5}=e^{10x-20}$

5 0

3 years ago

Read 2 more answers

This year, you owed $6,414.95 in federal income tax. if you are taxed at a net rate of 17%, what was your taxable income for thi

nydimaria [60]

The taxable income for this year will be $37,735. Then the correct option is D.

<h3>What is the percentage?</h3>

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

This year, you owed $6,414.95 in federal income tax.

If you are taxed at a net rate of 17%.

Then the taxable income for this year will be given by

$\rm Taxable\ income = \dfrac{6414.96}{0.17}\\\\Taxable\ income = 37735.05 \approx 37735$

More about the percentage link is given below.

brainly.com/question/8011401

7 0

3 years ago

Read 2 more answers

Find the values of x and y that maximize the objective function P=3x+2y for the graph. What is the maximum value?

AURORKA [14]

Answer:

(9, 0)

Step-by-step explanation:

Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).

Substitute (0, 8) in the objective function.

We get P = 3(0) + 2(8) = 16

Now for (x , y) = (5, 4)

P = 3(5) + 2(4) = 15 + 8 = 23

At (9, 0) we get P = 3(9) + 2(0) = 27.

Clearly, we have the maximum value at (9, 0).

And the maximum value is 27.

3 0

3 years ago

Estimate a 15% tip on a dinner bill of $49.71 by first rounding the bill amount to the nearest ten dollars.

Anna71 [15]

Answer:

$ 7.50

Step-by-step explanation:

50 ----- 100%

x ------ 15%

x=50*15/100= 7.5

5 0

4 years ago

Travis has 9 1/3 lb of dried beans he will pour an equal amount of beans into 5 sacks how many pounds of beans will be in each s

pentagon [3]

Answer:

Step-by-step explanation:

9 1/3 is the same as 28/3 i got that by multiplying 9(3)=27 after that add 1 which equals 28 so that would make 28/3 after this just divide (28/3)/5 (btw the ilttle dash means to divide looks like this ( / ) after that) it gives you 1.86666667 if you have a calculator just hit math enter enter

5 0

3 years ago