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)
G should equal out the be 8 Because 6X8 is equal to 48! I hope this helps:)
Answer:
Undefined
Step-by-step explanation:
First, take 2 points from the table given, then you use the equation y2-y1/x2-x1 to find your slope. So, if I take the coordinates (7,1) and (7,2) and plug them into my equation, I would get 2-1/7-7. If you solve this equation, you will end up wil 1/0. Now, if you have something like this as your answer, you can not find your slope. There can not be a slope because the zero is at the bottom, making this "Undefined".
The area equation is
, which when solved equals 50.24. That's the third answer on your list.
Answer: whats the question here if you wanna know how many boys there are there should be 12
Step-by-step explanation:
