Answer:
yes
Step-by-step explanation:
We are given that a Cauchy Euler's equation
where t is not equal to zero
We are given that two solutions of given Cauchy Euler's equation are t,t ln t
We have to find the solutions are independent or dependent.
To find the solutions are independent or dependent we use wronskain

If wrosnkian is not equal to zero then solutions are dependent and if wronskian is zero then the set of solution is independent.
Let 


where t is not equal to zero.
Hence,the wronskian is not equal to zero .Therefore, the set of solutions is independent.
Hence, the set {t , tln t} form a fundamental set of solutions for given equation.
Answer:

Step-by-step explanation:
simplified is 
Answer:
The total length of Valerie’s walls is (2.5 × 4) + (21.25 × 3) + 32.
The total length of Seth’s walls is 3.5 + (22.75 × 2) + 58.
To find the expression for the perimeter of the house, add Valerie’s expression to Seth’s:
(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58.
Step-by-step explanation:
its the platho answer so change it a bit
Answer:
Step-by-step explanation:
the problem is, there is no problem ;)
Answer:
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

The mean time for the component failure is 2500 hours.
This means that 
What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?
The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations