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)
7 bicycles dived by two mopeds = 3.5
$152 x 3.5 = $532
your answer is $532.
Answer:
C
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = E(- 2, 2) and (x₂, y₂ ) = F(4, - 6)
EF = 
= 
= 
= 
= 10 → C
Answer:
0.05?
Step-by-step explanation:
0.2 are taken by oarents
3/4 = 0.75 were taken by parents
0.20 + 0.75 = 0.95
1.00 - 0.95 = 0.05
Answer:
For the first question the answer is 7/8 and for the second 1 the answer is 10/10 or 1/10
Step-by-step explanation:
you subtract 1/2 from 1 3/4 and get 7/8 same for the bottom question subtracted 1/4 from 2 1/2 for you answer.
