The instantaneous rate of change is simply equivalent to
the first derivative of the equation or function. We are given the equation of
Surface Area (A) with respect to side (x):
A = 6 x^2
Taking the first derivative of the equation:
dA = 12 x dx
dA / dx = 12 x
Now the term dA / dx is the instantaneous rate of change
in the surface area with respect to the side length. To get the rate of change
when the side x = a, simply plug this in into the equation:
rate of change = dA / dx = 12 x
so when x = a:
<span>rate of change = 12 a</span>
Answer:
i think you can just multlpy x2
Step-by-step explanation:
I think the answer would just be 12a because -9a? And +9a? Would cancel out and the -10 and +10 would cancel out so all that is left is the 12a
We need to multiply 3x-5y+2z by itself.
I break it down by each term. We'll first do 3x. It is positive.
3x(3x-5y+2z)
3x×3x=9x²
3x×-5y=-15xy
3x×2z=6xz
9x²-15xy+6xz
Now -5y.
-5y(3x-5y+2z)
-5y×3x=-15xy
-5y×-5y=25y²
-5y×2z=-10yz
25y²-15xy-10yz
Now 2z.
2z(3x-5y+2z)
2z×3x=6xz
2z×-5y=-10yz
2z×2z=4z²
4z²+6xz-10yz
Now we need to add all of them together.
(9x²-15xy+6xz)+(25y²-15xy-10yz)+(4z²+6xz-10yz)
We need to add like terms.
9x²+12xz+25y²-20yz+4z²-30xy
Now order them by degrees.
25y²+9x²+4z²+12xz-20yz-30xy is the cost.
Answer:
The three numbers are : 9, 9 and 18
Step-by-step explanation:
Since the mean is 12 the sum of the three numbers must be 36. This is because:
(let the three numbers be x y and z)
(x+y+z)/3=12
(x+y+z)=12*3
(x+y+z)=36
And since the mode is 9 two of the numbers must be 9.
So to find the third number;
9+9+z=36
z=36-18
z=18
