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3 years ago

10q + 8 - 9q + 12 = 35. q = ?

Mathematics

2 answers:

valina [46]3 years ago

7 0

10q + 8 - 9q + 12 = 35

combine like terms

q + 20 = 35

subtract 20 from both sides

q = 15

Luda [366]3 years ago

4 0

do u need to show work

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Step-by-step explanation:

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From the question we are told that

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Generally the goal of this solution is to prove that the implicit solution of the differential equation above is $ln(x^2 + 11) + csc(y) = C.$

First Step

Differentiate the solution with respect to x

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=> $0 = \frac{2x}{ x^2 + 11} + [-\frac{cos(y)}{ sin(y) }* \frac{1}{sin(y)} ]\frac{dy}{dx}$

=> $0 = \frac{2x}{ x^2 + 11} + [-\frac{cos(y)}{ sin^2(y) }]\frac{dy}{dx}$

multiply through by $sin^2(y)$ , $x^2 + 11$ , $dx$

=> $2 x (sin^2(y) dx + [-cos(y) (x^2 + 11)]dy = 0$

Looking at the equation obtained we see that it is equivalent to the differential equation hence the implicit solution of $2x sin^2(y) dx - (x^2 + 11) cos(y) dy = 0$ is $ln(x^2 + 11) + csc(y) = C.$

Step-by-step explanation:

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