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:
2x² - 11x + 15
Step-by-step explanation:
Find the area of the rectangle by multiplying the length and width together, using FOIL
(2x - 5)(x - 3)
Multiply the first terms:
(2x)(x) = 2x²
Multiply the first term in the parentheses by the last term in the second set of parentheses:
(2x)(-3) = -6x
Multiply the second term in the first set of parentheses by the first term in the second set:
(-5)(x) = -5x
Multiply the last terms:
(-5)(-3) = 15
Add these all together, then add like terms
2x² - 6x - 5x + 15
2x² - 11x + 15
So, the area of the rectangle is 2x² - 11x + 15
Answer:
Question 1: A,B,D,F
Queation2: the order is 2,3,1
Question3:A
Question4:A
Step-by-step explanation:
Answer:
The number is 5.
Step-by-step explanation:
Call the number n. Write the problem as an equation:
The number is 5.
