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marysya [2.9K]
2 years ago
5

Please helpppp tyyy so much

Mathematics
2 answers:
SIZIF [17.4K]2 years ago
5 0

Answer:

`d

Step-by-step explanation:

you would have to add the dimes and quarters

ExtremeBDS [4]2 years ago
4 0

Answer:

a

Step-by-step explanation:

d standss for dimes so q stands for quarters

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Show that (2xy3 + cos x)dx + (3x2 y2 − sin y)dy = 0 is exact, and find the solution. Find c if y(0) = π
Licemer1 [7]

We're looking for a solution of the form F(x,y)=C. By the chain rule, this solution should have total differential

\mathrm dF=\dfrac{\partial F}{\partial x}\,\mathrm dx+\dfrac{\partial F}{\partial y}\,\mathrm dy=0

and the equation is exact if the mixed second-order partial derivatives of Fare equal, i.e. \frac{\partial^2F}{\partial x\partial y}=\dfrac{\partial^2F}{\partial y\partial x}.

The given ODE is exact, since

\dfrac{\partial(2xy^3+\cos x)}{\partial y}=6xy^2

\dfrac{\partial(3x^2y^2-\sin y)}{\partial x}=6xy^2

Then

\dfrac{\partial F}{\partial x}=2xy^3+\cos x\implies F(x,y)=x^2y^3+\sin x+f(y)

\dfrac{\partial F}{\partial y}=3x^2y^2-\sin y=3x^2y^2+\dfrac{\mathrm df}{\mathrm dy}

\dfrac{\mathrm df}{\mathrm dy}=-\sin y\implies f(y)=\cos y+C

\implies x^2y^3+\sin x+\cos y=C

With y(0)=\pi, we get

\cos\pi=C\implies C=-1

\implies\boxed{x^2y^3+\sin x+\cos y=-1}

6 0
3 years ago
Determine the slope (9,2) and (3,-8)
Oxana [17]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 9 &,& 2~) 
%  (c,d)
&&(~ 3 &,& -8~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-2}{3-9}\implies \cfrac{-10}{-6}\implies \cfrac{5}{3}
7 0
3 years ago
Brody deposited $500 into an account that earns 4.2% interest compounded annually. He makes no additional deposits and no withdr
Flauer [41]
The total interest will be $167

5 0
3 years ago
I do not understand theses... Please help!
oee [108]
Y = x + 1
y = 2x - 1

basically we r going to sub in one y for another
x + 1 = 2x - 1
1 + 1 = 2x - x
2 = x

now we sub 2 in for x in either of the original equations to find y
y = x + 1
y = 2 + 1
y = 3

so ur solution is (2,3)

5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
Nadya [2.5K]

Answer: B

<u>Step-by-step explanation:</u>

  x³ - 3x²  + 16x - 48 = 0

→ x²(x - 3)   + 16(x - 3) = 0

→ (x² + 16) (x - 3) = 0

→ (x² - (-16)) (x - 3) = 0

→ (x - 4i)(x + 4i)(x - 3) = 0

→ x - 4i = 0    x + 4i = 0   x - 3 = 0

→  x = 4i          x = -4i        x = 3

2 imaginary roots         and 1 real root

6 0
3 years ago
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