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antiseptic1488 [7]
3 years ago
13

Find the general solution for the differential equation (dy)/(dx) + 3y = 18 Y=

Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0

Answer:

y=-e^{-3x-c_1}+6

Step-by-step explanation:

\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6

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Please help ASAP I’m confused<br><br> I WILL GIVE BRAINLIEST
neonofarm [45]

Answer: x=4.7434

Step-by-step explanation:

Use the pythagorean theorem a^{2} +b^{2} =c^{2}

plug in and solve

x^{2} +3x^{2} =(3\sqrt{10}) ^{2}

4x^{2} =90

x^{2} =22.5

x=4.7424

if you need to solve for the sides

3x = 3(4.7434) = 14.2302

7 0
3 years ago
What’s the answer to (7−4n)⋅6
stealth61 [152]
42 - 24n
I think and I hope this helps
3 0
3 years ago
Read 2 more answers
The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to cr
podryga [215]

Question:

a. A = (2πr)(r)

b. A = (2πr)(2r)

c. A =\frac{1}{2} (2\pi r)(r)

d. A =\frac{1}{2} (2\pi r)(2r)

Answer:

The correct option is A =\frac{1}{2} (2\pi r)(r)

Step-by-step explanation:

The formula for the area, A of a parallelogram = base, b × height, h

Therefore, since the base dimension is approximately half the perimeter of a circle, we have;

Base, b = 2·π·r × 1/2

Where the height of the parallelogram, as shown in the diagram is approximately the radius of the circle, we have;

Height, h = r

Therefore, the approximate area, A of the parallelogram is given by the following relation;

A = b × h =  2·π·r × 1/2 × r Which is the same as A = \frac{1}{2} (2\pi r)(r).

4 0
3 years ago
A golfer needs to know how tall a tree is to chip a ball over the tree onto the green in a golf match. his caddie knows that he
Inga [223]
The height of the trre will be given by:
tan θ=(opposite)/(adjacent)

θ=52°
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opposite = height, h, of the tree
thus
tan 52=h/10
hence solving for h we get:
h=10tan52
h=12.799~12.8 ft

7 0
3 years ago
What the answer? find the value of x
Agata [3.3K]

Answer:

x=5

Step-by-step explanation:

The line goes through the point (5,7) which is when y=7 so x=5

8 0
2 years ago
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