Graph the line with the equation y = 1/6x-5 PLEASE HELP
1 answer:
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Given expression : .
We need to apply power property of logs to rewrite it.
According to log rule of exponents:
If we compare given expression with the rule the exponent part is f, base is 6.
Therefore, we need to bring exponent f in front of log.
Therefore, .
Answer:
Step-by-step explanation:
You have the following differential equation:
This equation can be written as:
where
If the differential equation is exact, it is necessary the following:
Then, you evaluate the partial derivatives:
The partial derivatives are equal, then, the differential equation is exact.
In order to obtain the solution of the equation you first integrate M or N:
(1)
Next, you derive the last equation respect to t:
however, the last derivative must be equal to M. From there you can calculate g(t):
Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:
where C is the constant of integration