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:
14
Step-by-step explanation:
we can use sin(30⁰) to solve this and the units will be 14
Answer: Th answer is 1e-10
Step-by-step explanation:
Answer:
"Rong"? I believe you need to re-do English class.
Step-by-step explanation:
Answer:
The price of tomato per pound is $1.36
Step-by-step explanation:
Jordan has $5.37.
He is buying one red pepper for $1.29
He is also buying three pounds of tomatoes.
If he has exactly the right amount of money he needs, then
5.37 = 1.29 + 3x
Where x is the price of tomato per pound
And( 5.37 = 1.29 + 3x) is the equation to solve for x
5.37 = 1.29 + 3x
5.37-1.29 = 3x
4.08 = 3x
4.08/3 = x
1.36 = x
The price of tomato per pound is $1.36
To verify it again..
3*1.36 + 1.29
= 4.08 +1.29
= 5.37 ( which is the initial total amount)
