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.
Answer:
2.174 hours
Step-by-step explanation:
Let the number of hours be represented as:
x
The price of Stock A at 9 A.M. was $12.79 Since then, the price has been increasing at the rate of $0.11 each hour.
$12.79 + $0.11 × x
12.79 + 0.11x
At noon the price of Stock B was $13.29 It begins to decrease at the rate of $0.12 each hour.
$13.29 - $0.12× x
13.29 - 0.12x
Equating both equations together
Stock A = Stock B
12.79 + 0.11x = 13.29 - 0.12x
Collecting like terms
0.11x + 0.12x = 13.29 - 12.79
0.23x = 0.5
x = 0.5/0.23
x = 2.1739130435 hours
x = Approximately = 2.174 hours
If the two rates continue, the number of hours that the prices of the two stocks will be the same is 2.174 hours
Answer:
Yes
Step-by-Step
Z-scores are also known as standardized scores. They are scores that have been given a common standard
Step-by-step explanation:
it ia 76.92 is the percentage for 10/13
Hello there,
So to find the area of anything, it's b x h and if the base of the tile is 12 you just divide 48 by 12.
48/12= 4
So the height of the tile is 4 inches
Hope this helped you!
