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:
Step-by-step explanation:
Given that a group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below.
Data set is as ollows:
70 79 38 63 44 23 62 61 67 50 61 70 94 87 65

H0: mu = 60 sec
Ha: mu not equals 60 sec
Mean diff = 2.27

Test statistic = 2.27/SE =0.4815
p value =0.6376
Since p>0.05, we accept null hypothesis
i.e. there is statistical evidence to say that students are reasonably good at estimating one minute
X=15
Y=3
2(15)=30
3(3)=9
30+9=39
Answer:
4: 32a^5 5: 2a / bc^2
Step-by-step explanation:
4. (2a)^3 / (2a)^-2
= (2a)^3 * (2a)^2
= 8a^3 * 4a^2
= 32a^5
5. 10a^7 b^9 c^6 / 5a^6 b^10 c^8
= 2a^7 b^9 c^6 / a^6 b^10 c^8
= 2a / bc^2
9 is a factor of 9 and 18 and many more number