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3 years ago

Estimate 76.216+66.36 by first rounding each number to the nearest whole number.

Mathematics

1 answer:

xeze [42]3 years ago

6 0

Answer:

142

Step-by-step explanation:

Round the numbers to their nearest WHOLE NUMBER.

$76.216=76\\66.36=66$

Then ADD

$76+66=142$

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Show that ( 2xy4 + 1/ (x + y2) ) dx + ( 4x2 y3 + 2y/ (x + y2) ) dy = 0 is exact, and find the solution. Find c if y(1) = 2.

fredd [130]

$\dfrac{\partial\left(2xy^4+\frac1{x+y^2}\right)}{\partial y}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

$\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

so the ODE is indeed exact and there is a solution of the form $F(x,y)=C$ . We have

$\dfrac{\partial F}{\partial x}=2xy^4+\dfrac1{x+y^2}\implies F(x,y)=x^2y^4+\ln(x+y^2)+f(y)$

$\dfrac{\partial F}{\partial y}=4x^2y^3+\dfrac{2y}{x+y^2}=4x^2y^3+\dfrac{2y}{x+y^2}+f'(y)$

$f'(y)=0\implies f(y)=C$

$\implies F(x,y)=x^2y^3+\ln(x+y^2)=C$

With $y(1)=2$ , we have

$8+\ln9=C$

$\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}$

8 0

3 years ago

Which of the following is the graph of (x + 3)2 + (y - 1)2 = 9? A B с 2. 2 2 2 4 -2 4 2 -2 2 2 4 2.

Zarrin [17]

The third one is the correct graph for the equation

hope it helps !!

5 0

3 years ago

Quando existe, dizemos que a solução de um sistema de equações lineares é o conjunto ordenado de números que satisfaz todas as e

QveST [7]

X representa o numero das suas respostas certas.
y represnta o numero das suas respostas erradas.
O total de perguntas é 25, portanto
x + y = 25

Agora tratamos do dinheiro.
Começa com R$ 500,00
Pelas x respostas certas, recebe 200x.
Pelas y respostas errads perde 150y.
O total de dineheiro inicial mais os ganhos menos as perdas são iguais a
R$ 600,00, portanto
500 + 200x - 150y = 600
200x - 150y = 100
20x - 15y = 10

Temos um sistema de duas equações com duas variaveis.

x + y = 25
20x - 15y = 10

15x + 15y = 375
+ 20x - 15y = 10
---------------------------
 35x = 385
 x = 11

x + y = 25

11 + y = 25

y = 14

Resposta: Errou 14 perguntas.

5 0

3 years ago

Vedmedyk [2.9K]

9514 1404 393

Answer:

-25 dollars per month

Step-by-step explanation:

It is convenient to compute the rate of change using points where the graph crosses grid intersections. A couple of these are ...

(months, dollars) = (1, 675) and (4, 600)

Using the slope formula, we have ...

m = (y2 -y1)/(x2 -x1)

m = (600 -675)/(4 -1) = -75/3 = -25 . . . . . dollars/month

8 0

3 years ago

PLEASE HELP!!! This was due today

Inessa [10]

Answer:

IDK

Step-by-step explanation:

IDK

5 0

3 years ago

Read 2 more answers