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Elina [12.6K]
2 years ago
11

Choose the multiplication problem that correctly shows partial products. A) A B) B C) C

Mathematics
2 answers:
Kipish [7]2 years ago
6 0

Answer:

B

Step-by-step explanation:

82

5

--

5 x 2 = 0 (carry 1)

5 x 8 + 1 = 1 (carry 4 to bottom)

TiliK225 [7]2 years ago
3 0

Answer:

B) B

Step-by-step explanation:

       In this case, the first partial product will be 2 * 5 which is 10. The only option that shows this is option B, so this is our answer.

       We can also check the answers as a whole,

2 * 5 = 10

80 * 5= 400

400 + 1 = 410

       Again, only option B gives us this. This is means that option B is our answer.

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Put the differential equation 9ty+ety′=yt2+81 into the form y′+p(t)y=g(t) and find p(t) and g(t). p(t)= help (formulas) g(t)= he
alexgriva [62]

Answer:

p(t) = \frac{9t^{3} + 729t  - 1}{e^{t}(t^{2} + 81) }

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And

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Step-by-step explanation:

Given that,

The differential equation is -

9ty + e^{t}y' = \frac{y}{t^{2} + 81 }

e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t  - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t  - 1}{e^{t}(t^{2} + 81) } ]y = 0

By comparing with y′+p(t)y=g(t), we get

p(t) = \frac{9t^{3} + 729t  - 1}{e^{t}(t^{2} + 81) }

g(t) = 0

And

The differential equation 9ty + e^{t}y' = \frac{y}{t^{2} + 81 } is  linear and homogeneous.

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