The correct question is:
Determine whether the given function is a solution to the given differential equation. y = cosx + x^8; d²y/dx² + y = x^8 + 56x^6
Step-by-step explanation:
Given the differential equation
d²y/dx² + y = x^8 + 56x^6.
Suppose y = cosx + x^8 is a solution, then differentiating y twice, and adding it to itself, must give the value on the right hand side of the differential equation.
Let us differentiate y twice
y = cosx + x^8
dy/dx = -sinx + 8x^7
d²y/dx² = -cosx + 56x^6
Now,
d²y/dx² + y = -cosx + 56x^6 + cosx + x^8
= 56x^6 + x^8
Therefore,
d²y/dx² + y = x^8 + 56x^6
Which shows that y = cosx + x^8 is a solution to the differential equation.
Yes the answer is c. z=3 or z=-9
Answer:
The number of pools clean per hour is 1.5
Step-by-step explanation:
Given as :
The number of pools clean in 8 hours = 12
The number of pools clean in 7.5 hours = 9
Let The number of pools they clean per hours = x
I.e x = 
+ 
Or, x = 
Or, x = 
∴ x = 
I.e x = 1.5
Hence The number of pools clean per hour is 1.5 Answer
Honestly, this would depend how many miles they hiked all together. then you divide it by 3. Until you have the total amount, you don't get a correct answer.
