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elena-14-01-66 [18.8K]
2 years ago
13

Solve for x help plz

Mathematics
1 answer:
Alex17521 [72]2 years ago
5 0

Answer:

x = 6√2

Step-by-step explanation:

by ratio of sides for similar triangles

x/24 = 3/x

cross multiply

x² = 72

x = √72 = √36√2 = 6√2

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What is the difference between bernoulii equation and riccati equation
melisa1 [442]
The Bernoulli equation is almost identical to the standard linear ODE.

y'=P(x)y+Q(x)y^n

Compare to the basic linear ODE,

y'=P(x)y+Q(x)

Meanwhile, the Riccati equation takes the form

y'=P(x)+Q(x)y+R(x)y^2

which in special cases is of Bernoulli type if P(x)=0, and linear if R(x)=0. But in general each type takes a different method to solve. From now on, I'll abbreviate the coefficient functions as P,Q,R for brevity.

For Bernoulli equations, the standard approach is to write

y'=Py+Qy^n
y^{-n}y'=Py^{1-n}+Q

and substitute v=y^{1-n}. This makes v'=(1-n)y^{-n}y', so the ODE is rewritten as

\dfrac1{1-n}v'=Pv+Q

and the equation is now linear in v.

The Riccati equation, on the other hand, requires a different substitution. Set v=Ry, so that v'=R'y+Ry'=R'\dfrac vR+Ry'. Then you have

y'=P+Qy+Ry^2
\dfrac{v'-R'\dfrac vR}R=P+Q\dfrac vR+R\dfrac{v^2}{R^2}
v'=PR+\left(Q+\dfrac{R'}R\right)v+v^2

Next, setting v=\dfrac{u'}u, so that v'=\dfrac{uu''-(u')^2}{u^2}, allows you to write this as a linear second-order equation. You have

\dfrac{uu''-(u')^2}{u^2}=PR+\left(Q+\dfrac{R'}R\right)\dfrac{u'}u+\dfrac{(u')^2}{u^2}
u''-\left(Q+\dfrac{R'}R\right)u'+PRu=0
u''+Su'+Tu=0

where S=-\left(Q+\dfrac{R'}R\right) and T=PR.
3 0
3 years ago
Tonya went out to a restaurant for lunch. she tipped 12% of her bill, which brought the sum of the lunch bill plus the tip to $2
Morgarella [4.7K]
112% of original=28

percent measn parts out of 100
112%=112/100=1.12

'of' means multiply

112% of original=28 means
1.12 times original=28
divide both sides by 1.12
original=25

original bill was $25
4 0
3 years ago
Can u help me from 1-3 SHOWING all the work also please
Artist 52 [7]
The first question is this: the smallest square is square A, and that is 9 units. and square E is two times that, and so on.

Square A's side length is 9 units and the area is 81.
Square E's side length is 18 and the area is 324.
Square C's side length is 27 and the area is 729.
Square B's side length is 36 and the area is 1,296.
Square D's side length is 45 and the area is 2,025
7 0
2 years ago
A house costs 30, 00, 000 rupees. A buyer is given a 10% discount. How much does the buyer save?
VashaNatasha [74]

Answer:

Money of house after 10% discount = $2700000

Buyer save = $30,00,00

Step-by-step explanation:

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10% of $30.00.000 = $30,00,00

Money of house after 10% discount = $30.00.000 - $30.00.00  

Money of house after 10% discount = $2700000

Buyer save = $30,00,00

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3 years ago
What element(s) is/are necessary for a geometric proof?
Nonamiya [84]
<span>a series of logical statement</span>
7 0
3 years ago
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