You would just do 34 multiplied by 47, equaling a total of 1,598 grapes, per day.
Answer:
C
Step-by-step explanation:
did it on edge
<h3>
Answer: (x,y) = (2,7)</h3>
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Explanation:
-x = y-9 turns into x = -y+9 when you multiply both sides by -1
Plug this into the first equation y - 2x = 3 to get the following
y - 2x = 3
y - 2( x ) = 3
y - 2(-y+9) = 3 ... replace x with -y+9
y + 2y - 18 = 3
3y - 18 = 3
3y = 3+18
3y = 21
y = 21/3
y = 7
Which then tells us,
x = -y+9
x = -7+9
x = 2
So x = 2 and y = 7 pair up to get the solution (x,y) = (2,7)
Answer:
y = e^(2x) cos 3x is a explicit solution of y'' − 4y' + 13y = 0
Step-by-step explanation:
y'' − 4y' + 13y = 0 (1)
Verify that y = e^(2x) cos 3x is a explicit solution. We derive this solution:
y'=2e^(2x) cos 3x-3e^(2x) sin 3x (2)
y''=4e^(2x) cos 3x - 6e^(2x) sin 3x -6e^(2x) sin 3x -9e^(2x) cos 3x
y''=-5e^(2x) cos 3x - 12e^(2x) sin 3x (3)
In order to verify, we replace (2) (3) in (1):
![-5e^{2x} cos 3x - 12e^{2x} sin 3x -4[2e^{2x} cos 3x-3e^{2x} sin 3x ]+13{e^}2x} cos 3x=(-5-8+13)e^{2x} cos 3x +(-12+12)e^{2x} sin 3x=0](https://tex.z-dn.net/?f=-5e%5E%7B2x%7D%20cos%203x%20-%2012e%5E%7B2x%7D%20sin%203x%20-4%5B2e%5E%7B2x%7D%20cos%203x-3e%5E%7B2x%7D%20sin%203x%20%5D%2B13%7Be%5E%7D2x%7D%20cos%203x%3D%28-5-8%2B13%29e%5E%7B2x%7D%20cos%203x%20%2B%28-12%2B12%29e%5E%7B2x%7D%20sin%203x%3D0)
