<span>This is not really a maths question, but rather a question about geography and climate: Sahara is a very dry place without any resources that gets very hot, especially during the day. If you camp on Sahara, you will not be able to find food or water, and you will be struggling with hiding from the heat. This would be very dangerous and you could potentially die - so you should not attempt to camp on the Sahara desert. </span>
Answer:
-(135/31), 60/31
Step-by-step explanation:
y=60/31
x=-(135/31)
3y+x=12 in slope intercept form is y=-1/3+4
Using Substitute method:
Replace y value of equation 2 into equation 1:
4x + (x+6) = 1
Solve for x:
4x + x + 6 = 1
5x = 1 - 6
5x = -5
x = -5/5
x = -1
Pick any of the two equation, replace x with it's value -1 and solve for y:
y = (-1) + 6
y = -1 + 6
y = 5
Solution: (-1, 5)
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)]
