Answer:
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
Step-by-step explanation:
d²y/dx² = (-2y² − x²) / (4y³)
Take the derivative (use quotient rule and chain rule):
d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²
d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)
d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)
d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)
d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)
Substitute:
d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)
d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
Answer:
50 grams
Step-by-step explanation:
From the above question:
Chicken : Turkey
= 4:1
Sum Proportions = 4 + 1 = 5
We have to find the weight in grams of the entire pie
Let us represent the weight in grams of the entire pie = x.
The pie contains 200g of Chicken.
Hence:
4/5 × x = 200g
4x/5 = 200g
Cross Multiply
4x = 200g × 5
x = 200g × 5/4
x = 250g
The amount turkey that is in the pie is calculated as:
Total weight of pie - Amount of Chicken in the pie
= 250g - 200g
= 50 g
Answer:
Its perpendicular
Step-by-step explanation:
You can solve the equation to get x=-2.5 and y = -7.5 so they intersect there, but they intersect at 90 degrees so its perpendicular.
