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:
(4,2)
Step-by-step explanation:
Solving the system of equations means to find the dot where both the lines intersect. We know by the graph that the point where the both intersect is (4,2).
Please mark me as brainliest and I hope you do well on your assignment!
The square root of 39 is 6.245. It lies between the whole numbers 7and 8!
Answer:
-11/30, -1/6, 2/5
Step-by-step explanation:
first, make the question in the same denominator
= 12/30, -5/30, -11/30
= -11/30, -5/30, 12/30
= -11/30, -1/6, 2/5
Answer:
8hours
Step-by-step explanation:
10000÷5=2000
so the restaurant earns 2000$ per hour
8×2000=16000
8hours=16000$
Hope that helped
