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Trava [24]
3 years ago
12

Find dy/dx implicitly and find the largest interval of the form −a < y < a or 0 < y < a such that y is a differentia

ble function of x. cos y = x
Mathematics
1 answer:
mylen [45]3 years ago
6 0

Answer:

dy/dx = -1/√(1 - x²)

For 0 < y < π

Step-by-step explanation:

Given the function cos y = x

-siny dy = dx

-siny dy/dx = 1

dy/dx = -1/siny (equation 1)

But cos²y + sin²y = 1

=> sin²y = 1 - cos²y

=> siny = √(1 - cos²y) (equation 2)

Again, we know that

cosy = x

=> cos²y = x² (equation 3)

Using (equation 3) in (equation 2), we have

siny = √(1 - x²) (equation 4)

Finally, using (equation 4) in (equation 1), we have

dy/dx = -1/√(1 - x²)

The largest interval is when

√(1 - x²) = 0

=> 1 - x² = 0

=> x² = 1

=> x = ±1

So, the interval is

-1 < x < 1

arccos(1) < y < arxcos(-1)

= 0 < y < π

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Answer:

it depends what level math you are in, there are two answers, if it asks for two answers then the two answers are 2 and -2 if it only asks for one answer then put 2

Step-by-step explanation:

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2 years ago
11) Which shows another way to write 6%?<br> A) 6<br> B) -6<br> C) 0.06<br> D) six tenths
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Step-by-step explanation:

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Answer this please. Give a great answer
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275

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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 <span>é 25, portanto
x + y = 25

Agora tratamos do dinheiro.
Come</span>ça com <span>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 s</span>ão 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.

<span>x + y = 25</span>
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
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