Share £300 in the ratio 5:7

Mathematics

1 answer:

PtichkaEL [24]3 years ago

4 0

5+7 = 12

300/12 = 25

25*5 = 125

25*7 = 175

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(1+x^2)dy/dx+2xy-4x^2=0 bu using Bernoulli's Equation

erastovalidia [21]

Not of Bernoulli type, but still linear.

$(1+x^2)\dfrac{\mathrm dy}{\mathrm dx}+2xy=4x^2$

There's no need to find an integrating factor, since the left hand side already represents a derivative:

$\dfrac{\mathrm d}{\mathrm dx}[(1+x^2)y]=(1+x^2)\dfrac{\mathrm dy}{\mathrm dx}+2xy$

So, you have

$\dfrac{\mathrm d}{\mathrm dx}[(1+x^2)y]=4x^2$

and integrating both sides with respect to $x$ yields

$(1+x^2)y=\displaystyle\int4x^2\,\mathrm dx$
$(1+x^2)y=\dfrac43x^3+C$
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3 years ago

Solve For Each Variable

Monica [59]

6r + 7 = 13 + 7r
6r + 7 - 7r = 13
6r - 7r = 13 - 7
-r = 6
r = -6

13 - 14x = 1 - x
13 = 1 - x + 14x
13 - 1 = -x + 14x
12 = 13x
x = 12/13

2(x+7) + x = -20
2x + 14 + x = -20
2x + x = -20 - 14
3x = -34
x = -34/3

-8 - x = x - 4x
-8 = x - 4x + x
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3 years ago

Write the following Arithmetic Sequence using an Explicit Formula: a1 = 14 ,an = an-1 – 6 A.) an = 6 – 14(n – 1)

yan [13]

The explicit formula for the sequence is an = 14-6(n-1)

<h3>Arithmetic sequence</h3>

This are sequence that has. a common difference that is the difference between the preceding and sthe explicit formula for the sequence is an = 14-6(n-1) is equal.

Given the following

a1 = 14

an = an-1 - 6

The nth term of the sequence is expressed as:

An = a+(n-1)d

an = 14+(n-1)(-6)

an = 14 -6n + 6

an = 14-6(n-1)

Hence the explicit formula for the sequence is an = 14-6(n-1)

Learn more on arithmetic sequence here: brainly.com/question/503167

#SPJ1

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