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vazorg [7]
3 years ago
15

Show that every member of the family of functions y = (6 ln(x) + C)/x , x > 0, is a solution of the differential equation x2y

' + xy = 6. (Simplify as much as possible.) y = 6 ln(x) + C x ⇒ y' = 6x · (1/x) − (6 ln(x) +C) x2 LHS = x2y' + xy = x2 · x2 + x · 6 ln(x) + C x = + 6 ln(x) + C = = RHS, so y is a solution of the differential equation.

Mathematics
1 answer:
mixer [17]3 years ago
8 0

Answer:

solution is attached in the picture below

Step-by-step explanation:

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A company is expanding its building area from 14,000 square feet to 17,640 square feet. What is the percentage increase of the a
natali 33 [55]

Answer:

its about 7.9% I think .... ............

6 0
3 years ago
A retailer (GameStop, Target, or other stores) will receive 23% of the sale price of a video game. If a retailer sells a video g
prohojiy [21]

Answer:

$13.80

Step-by-step explanation:

23% of 60 = .23 x 60

5 0
3 years ago
Find the area of the isosceles triangle. please help thanks
fiasKO [112]

Answer:

1080 m^2 Don't submit m^2 in your answer.

Step-by-step explanation:

Givens

The catch is to find h

To do that, use a^2 + b^2 = c^2

a b and c are in the same 1/2 triangle.

a = 48/2 = 24 m

b = h = ?

c = 51 meters

Solution

a^2 + b^2 = 51^2                      Substitute for b^2 = h^2

24^2 + h^2 = 51^2                   Expand 24^2 and 51^2

576 + h^2 = 2601                    Subtract 576 from both sides

h^2 = 2601 - 576

h^2 = 2025                              Take the square root of both sides

h = 45

Area

Area = 1/2 b * h

Area = 1/2 48 * 45

Area = 1080

Remark

Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.

To find the area, you need to use all of 48 because 48 is the full length of the base.

5 0
3 years ago
Select the correct inequality for the graph given
Kaylis [27]

Answer:

y<= 3x-1

Step-by-step explanation:

When it comes about inequalities, keep in mind the following

the < sign means that the regions is under whatever is to other side, and the > means that the region is above whatever is on the other side of the sign

So, we see for the graphic that there is a region below a line, this suggests us that there is a < sign implied

The other thing is that there is a convention in math, is the line is graphed using a dashed line, it meas that it is not part of the region, if the line is graphed using a solid line (a continued line) then the line is inside the region, hence there is a = sign implied.

So the answer is y<= 3x-1

4 0
3 years ago
Please help I don’t want to give up it’s getting hard
Svetradugi [14.3K]

Answer:

144 goes with 12, 36 goes with 6, 9 goes with 3, and 121 goes with 11.

Step-by-step explanation:

The second number stated in each phrase is time itself to create the first number. For example, 144. If we take the second number in the number phrase (12) and time it by itself (12 * 12) it equals 144. This applies to each number phrase.

6 0
3 years ago
Read 2 more answers
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