Answer:
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Step-by-step explanation:
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.
It’s 21.9 hope this helps
Answer:
The difference in elevation between Laguna del Carbon and El Alto is 12,656 feet.
Step-by-step explanation:
Given that Laguna del carbon, a salt lake located in Argentina, lies 344 feet below sea level, while El Alto, Bolivia, is located approximately 13,000 feet above sea level, to determine what is the difference in elevation between Laguna del Carbon and El Alto, the following calculation must be performed:
13,000 - 344 = X
12.656 = X
Thus, the difference in elevation between Laguna del Carbon and El Alto is 12,656 feet.
