What is the value of x?
2 answers:
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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
Answer:
d) 0.798
Step-by-step explanation:
Since we know that an exponential function is in form: , where,
a= Initial value,
b = For growth b is in form (1+r), where r is rate in decimal form.
b = For decay or regression b is less than 1 and in form (1-r), where r is rate in decimal form.
Upon looking at our given choices we can see that options a, b and c are in form 1+r, while choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.