Answer:
Step-by-step explanation:
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
Hi there!
Your question is:
For 8 days of very hot weather, the water level in a lake dropped 3 inches per day. on the ninth day, storms raised the level 6 inches. Write and find the value of an expression for the change in the water level of the lake during these 9 days.Here is my answer:
If the water level drops 3 inches per day for eight days, it would have gone down a total of 24 inches over those 8 days. Now, the rain storm added 9 inches of water back to the lake. 24 - 9 = 15.
Summary:
8 x 3 = 24
-24 + 9 = -15.
I hope this helped you, and dont hesitate to ask me for anymore help if you need it.
Stay Crazzzzzy! xD
Answer:
x = 3
Step-by-step explanation:
For them to be congruent, both sides need to be of equal length. Set them equal to each other and you get 5x-1=3x+5, which equals to 2x=6, so x=3
7m - 3n
m = 3, n = 2
Replace m and n with the appropriate numbers:
7(3) - 3(2)
Multiply both sides:
21 - 6
Subtract:
21-6 = 15