The school bus driver drove 90 minutes at a constant speed of 40mph. He then drove another 90 minutes at 70mph until school bus
1 answer:
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Answer:
Step-by-step explanation:
The original equation is . We propose that the solution of this equations is of the form
. Then, by replacing the derivatives we get the following
Since we want a non trival solution, it must happen that A is different from zero. Also, the exponential function is always positive, then it must happen that
Recall that the roots of a polynomial of the form are given by the formula
In our case a = 121, b = 110 and c = -24. Using the formula we get the solutions
So, in this case, the general solution is
a) In the first case, we are given that y(0) = 1 and y'(0) = 0. By differentiating the general solution and replacing t by 0 we get the equations
(or equivalently
By replacing the second equation in the first one, we get which implies that
.
So
b) By using y(0) =0 and y'(0)=1 we get the equations
(or equivalently
By solving this system, the solution is
Then
c)
The Wronskian of the solutions is calculated as the determinant of the following matrix
By plugging the values of and
We can check this by using Abel's theorem. Given a second degree differential equation of the form y''+p(x)y'+q(x)y the wronskian is given by
In this case, by dividing the equation by 121 we get that p(x) = 10/11. So the wronskian is
Note that this function is always positive, and thus, never zero. So is a fundamental set of solutions.
Answer:
Step-by-step explanation:
The water density is approximately 1 gram per cubic centimeter, which means that 1 gram of water occupies a volume of a cubic centimeter. Hence, 2.179 grams occupies a volume of 2.179 cubic centimeters.
Let assume volume occupied by the water has a cube-like shape, whose side has the following measure:
Check : brainly.com/question/5023362
To see what are the factors use, we write each of the numbers, as product of prime factors, as shown in the picture
As we can see, the 4 factors used to produce the numbers in the list are {2, 3, 5, 7}
Answer: {2, 3, 5, 7}
To see what are the factors use, we write each of the numbers, as product of prime factors, as shown in the picture
As we can see, the 4 factors used to produce the numbers in the list are {2, 3, 5, 7}
Answer: {2, 3, 5, 7}