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Anarel [89]
3 years ago
6

calculate the surface of each 3D shape below then from the right, drag and drop the correct surface area calculation into the bo

x below with the corresponding shape​

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

thy

Step-by-step explanation:

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Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0
Leokris [45]

Substitute v(x)=-2x+y(x), so that \dfrac{\mathrm dv}{\mathrm dx}=-2+\dfrac{\mathrm dy}{\mathrm dx}. Then the ODE is equivalent to

\dfrac{\mathrm dv}{\mathrm dx}+2=v^2-7

which is separable as

\dfrac{\mathrm dv}{v^2-9}=\mathrm dx

Split the left side into partial fractions,

\dfrac1{v^2-9}=\dfrac16\left(\dfrac1{v-3}-\dfrac1{v+3}\right)

so that integrating both sides is trivial and we get

\dfrac{\ln|v-3|-\ln|v+3|}6=x+C

\ln\left|\dfrac{v-3}{v+3}\right|=6x+C

\dfrac{v-3}{v+3}=Ce^{6x}

\dfrac{v+3-6}{v+3}=1-\dfrac6{v+3}=Ce^{6x}

\dfrac6{v+3}=1-Ce^{6x}

v=\dfrac6{1-Ce^{6x}}-3

-2x+y=\dfrac6{1-Ce^{6x}}-3

y=2x+\dfrac6{1-Ce^{6x}}-3

Given the initial condition y(0)=0, we find

0=\dfrac6{1-C}-3\implies C=-1

so that the ODE has the particular solution,

\boxed{y=2x+\dfrac6{1+e^{6x}}-3}

5 0
3 years ago
Tanyss's house has 25 windows. Her brother has washed 22 of the windows. What percent of the windows has her brother washed?
AveGali [126]

Answer:

88

Step-by-step explanation:

7 0
3 years ago
HELP MEE PLEASE HELP
SOVA2 [1]

Answer:

42.75

Step-by-step explanation:

area of one piece, length x width:    3 x 4 3/4

                                                                14.25

area of 3 pieces:   14.25(3)= 42.75

8 0
2 years ago
Ask me by rounding each mixed number to the nearest whole number 11/18+6 1/10
Agata [3.3K]
The answer is below what the dude said
4 0
3 years ago
Let angle G be an acute angle and tan G = 0.43 . Use technology to approximate the measure of angle G to the nearest 10th of a d
klasskru [66]

We need to use the calculator, using the tan⁻¹ function:

\begin{gathered} \tan(G)=0.43 \\ \tan^{-1}(\tan(G))=\tan^{-1}(0.43) \\ G=\tan^{-1}(0.43) \end{gathered}

Using the calculator:

G=\tan^{-1}(0.43)=23.26770481

To the nearest tenth:

G=23.3º

6 0
1 year ago
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