Answer:
It could be 2:5 or 6pi:15pi
Step-by-step explanation:
If you write the ratio of the surface area as a fraction, you would get
. Simplifying it would leave
. But this is NOT the answer because that is the ratio of the surface area. You have to square root it to find the scale factor. The square root is
. The answers would be 2:5 and 6pi:15pi.
Answer:
1. y' = 3x² / 4y²
2. y'' = 3x/8y⁵[(4y³ – 3x³)]
Step-by-step explanation:
From the question given above, the following data were obtained:
3x³ – 4y³ = 4
y' =?
y'' =?
1. Determination of y'
To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:
3x³ – 4y³ = 4
Differentiate
9x² – 12y²dy/dx = 0
Rearrange
12y²dy/dx = 9x²
Divide both side by 12y²
dy/dx = 9x² / 12y²
dy/dx = 3x² / 4y²
y' = 3x² / 4y²
2. Determination of y''
To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:
3x² / 4y²
Let:
u = 3x²
v = 4y²
Find u' and v'
u' = 6x
v' = 8ydy/dx
Applying quotient rule
y'' = [vu' – uv'] / v²
y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²
y'' = [24xy² – 24x²ydy/dx] / 16y⁴
Recall:
dy/dx = 3x² / 4y²
y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴
y'' = [24xy² – 18x⁴/y] / 16y⁴
y'' = 1/16y⁴[24xy² – 18x⁴/y]
y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]
y'' = 1/16y⁵[(24xy³ – 18x⁴)]
y'' = 6x/16y⁵[(4y³ – 3x³)]
y'' = 3x/8y⁵[(4y³ – 3x³)]
Answer:
77
Step-by-step explanation:
mean is also known as the average
to find the average you add up every data point and divide by number of data points.
74 + 75 + 80 + 76 + 75 + 81 + 78 = 539
539 / 7 = 77
Answer:
its hard to explain as a simple answer but i can explain w an example
Step-by-step explanation:
lets say the equation is 2 (3×5), rather than using pemdas and doing 3×5 fist, you take the 2 amd multiply it by the numbers in the paranthesis, so, do that snd u get 2×3 which equals 6 and then u do 2×5 which equals 10 so the equation in the end should be 6+10 which equals 16, and obviously if u use pemdas u would gey a different answer (the answer if u use pemdas is 30)
A = 2(wl + lh + hw)
answer is 346 m^2
hope it helps