Answer:
2, 5, 6 are all 154
1, 3, 4, and 7 are all 26
Basically, all you have to do is substitue the terms given at the top.
x = -3
y = 6
z = -4
<em>The first one will be set up like this:</em>
(-3) + 6 + (-1) = 2
<em>The second one will be set up like this: </em>
-15 + (- -3) + 6 = -6
<em>The third one will be set up like this:</em>
3(-3) - 2(6) + (-4) = -25
<em>The fourth one will be set up like this:</em>
2(-4) - 3 (6) + 4(-3) = -38
<em>The fifth one will be set up like this: </em>
3 ( -3) + 2 (6) + (-4) = -1
<em>The sixth will be set up like this: </em>
(-3)(-4)
---------- = -1
-2 (6)
<em>The seventh will be set up like this:</em>
2 (6) (-4) - 3 (-3) = -39
Hope this helps! Have a good day/night! c:
The median is 7.
——————————
Arrange data in numerical order
1 3 3 6 8 10 10 15
Total number are 8, N = 8
Take the middle two numbers 6 and 8 and take their average
6+8/2 = 14/2 = 7
Therefore the median is 7.
Answer:
So, solution of the differential equation is
Step-by-step explanation:
We have the given differential equation: y′′+4y=5xcos(2x)
We use the Method of Undetermined Coefficients.
We first solve the homogeneous differential equation y′′+4y=0.
It is a homogeneous solution:
Now, we finding a particular solution.
we get
So, solution of the differential equation is
To get the vertex of the parabola we proceed as follows;
y=-7(x-4)^2-5
The above can be written as:
y=-7x^2+56x-117
The values of a,b and c are:
a=-7, b=56 and c=-117
x=-b/(2a)
x=-56/(-7*2)=4
but;
y=-7x^2+56x-117
y=-7(4)^2+56(4)-117
y=-5
Thus;
x=4 and y=-5
The vertex will be at point (4,-5)
