Answer:
Step-by-step explanation:
The given equation 5y'' + 3y' - 2y =0 can be written as
Solving for complementary function we have Roots of 
as follows
Thus the complementary function becomes
y=
where
are calculated roots
thus solution becomes
Now to solve for the coefficients we use the given boundary conditions
hence the solution becomes
Answer:
There are 5 terms in the given expression.
Answer:
The enlarged height of the photo must be 682 inches
Step-by-step explanation:
A customer wants to enlarge the image by 22 times
Hence, the scale factor = +22
Now, the current height of the photo = 31 inches
Therefore, to find the enlarged height : we need to multiply the scale factor of the required image by the current height of the photo.
Hence, Enlarged Height = 22 × 31
= 682 inches
So, The enlarged height of the photo must be 682 inches
Answer:
Possibility that the students selected are both girls = 31.25%
Step-by-step explanation:
It is given that
A science class have 5 girls and 3 boys in 7th grade
And 2 girls and 2 boys in the 8th grade
In 7th grade total students = 8
In 8th grade total students = 4
Total possibilities = 8 x 4 = 32
The teacher randomly selects a 7th grade and an 8th grade
The number ways a girl selected from 7th grade = 5c1 = 5
The number ways a girl selected from 8th grade = 2c1 = 2
Total possibilities = 5 x 2 = 10
Probability that the students selected are both girls =10 /32 = 31.25%
