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Amanda [17]
3 years ago
5

Help me pls thankyouuuuuuu

Mathematics
2 answers:
torisob [31]3 years ago
8 0

Answer: 4\sqrt[3]{4}

Step-by-step explanation:

Ahat [919]3 years ago
7 0

hope it helps. ...........

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Find the equilibrium solutions of the ordinary differential equation
Mandarinka [93]

Answer:

\dfrac{1}{2}\dfrac{sin y}{cos^2y}+\dfrac{1}{4}ln[\dfrac{siny +1}{siny-1}]=\dfrac{x^3}{3}+c  

Step-by-step explanation:

given,

y' =  x² (cos y)³

solve the equation using variable separable method

\frac{\mathrm{d} y}{\mathrm{d} x} = x^2 cos^3y\\\dfrac{dy}{(cosy)^3}= x^2 dx\\\dfrac{cos\ y}{cos^4 y}\ dy = x^2 dx\\\int \dfrac{cos\ y}{(1-sin^2 y)^2}\ dy = \int x^2dx\\\int \dfrac{1}{(t^2-1)^2}\ dt = \dfrac{x^3}{3}+c

here sin y  = t     :  cos y = dt

\int(\dfrac{1}{2}{[\dfrac{1}{t-1}-\dfrac{1}{t+1}]}^2 = \dfrac{x^3}{3}+c\\\dfrac{1}{4}\int [\dfrac{1}{(t-1)^2}-\dfrac{1}{t-1}+\dfrac{1}{t-1}+\dfrac{1}{(t+1)^2}]= \dfrac{x^3}{3}+c  

\dfrac{1}{2}\dfrac{sin y}{cos^2y}+\dfrac{1}{4}ln[\dfrac{siny +1}{siny-1}]=\dfrac{x^3}{3}+c  

3 0
3 years ago
Jared made 4 bird houses in 3 days. How many days will Jered work to make 96 bird houses?
kykrilka [37]

Ratio: 4:3

96/4 bird houses shows the number to connect the ratios, you get 24. Then do 24 times 3 ( because of 3 days ) to get 72 days.

Answer: 72 days

8 0
4 years ago
Read 2 more answers
Can a triangle of 72/12 fit on the same line as 144/24
KiRa [710]

Answer: yes.

Step-by-step explanation: GCF.

8 0
3 years ago
Find the distance between the points. Round your answer to the nearest tenth. (6, -1) and (-2,-6)​
alexdok [17]

Answer:

9.433981

Step-by-step explanation:

d=(−2−6)2+(−6−(−1))2−−−−−−−−−−−−−−−−−−−−−√  

d=(−8)2+(−5)2−−−−−−−−−−−−√

d=64+25−−−−−−√

d=8–√9

d=9.433981

6 0
3 years ago
The heights of some sunflowers are shown below.
deff fn [24]

Answer:

2 sunflowers

Step-by-step explanation:

Number of sunflowers that are 7 feet tall = 4

Number of sunflowers that are 5 1/2 feet tall = 2

4 - 2 = 2

8 0
3 years ago
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