Determine whether the given differential equation is separable. StartFraction dy Over dx EndFraction plus 2 sine (x minus y )equ
1 answer:
Answer:
so whether the given equation is separable or not
the given equation is not separable because the argument inside the function is dependent on both x and y
even though we use the formula to open the sin(A-B) we would still get the function dependent on both x and y and the equation would get complicated so instead use any other method.
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Answer:
<em>Exponential decay function</em>
Step-by-step explanation:
The given table represents some function between x and y:
x - 3 - 6 - 9 - 12
y - 2401 - 343 - 49 - 7
We are required to find if it's exponential growth, decay, or neither.
An exponential function is identified because each term is calculated as the previous term multiplied by a constant factor.
The linear relationship is identified because each term is calculated as the previous term plus a constant difference.
Note the values of x grow three by three and the values of y are constantly divided by 7 or multiplied by 1/7.
There is a common factor and not a common difference. Since the common factor is less than 1, the function is exponential decay.
Bonus: The exponential function is:
Answer:
0.1502 = 15.02% probability that exactly 13 of them use their smartphones in meetings or classes
Step-by-step explanation:
For each adult smartphone users, there are only two possible outcomes. Either they use the phone in meetings or classes, or they do not. The probability of an adult using the phone in these settings is independent of any other adult. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
58% use them in meetings or classes
This means that
20 adult smartphone users are randomly selected
This means that
Find the probability that exactly 13 of them use their smartphones in meetings or classes.
This is . So
0.1502 = 15.02% probability that exactly 13 of them use their smartphones in meetings or classes