Answer:
y=2e^(−x)cosx−e^(−x)sinx
Satisfies the equation
Step-by-step explanation:
Answer:
y=2e^(−x)cosx−e^(−x)sinx
y = e^(-x)[2cosx - sinx]
y': product law
y' = -e^(-x)[2cosx - sinx] + e^(-x)[-2sinx - cosx]
y' = -e^(-x)[2cosx - sinx + 2sinx + cosx]
y' = -e^(-x)[3cosx + sinx]
y" = e^(-x)[3cosx + sinx] - e^(-x)[-3sinx + cosx]
y" = e^(-x)[3cosx - cosx + sinx + 3sinx]
y" = e^(-x)[2cosx + 4sinx]
y" + 2y' + 2y
e^(-x)[2cosx + 4sinx] - 2e^(-x)[3cosx + sinx] +2e^(-x)[2cosx - sinx]
e^(-x)[4sinx - 2sinx - 2sinx + 2cosx - 6 cosx + 4cosx]
= e^(-x) × 0
= 0
Answer: -5 -1/2 .25 3/4 2 10
Step-by-step explanation:
Solving this involves basic arithmetic.
The number is -10
Let the number that is a product with 6 be x.
This product is the same as 40 less than twice that same number.
Thus; 6x = 2x - 40
Rearranging, we have;
6x -2x = -40
4x = -40
x = -40/4
x = -10
Read more at; brainly.com/question/24621972
The height of the box is 3.5in or 3 1/2in