2 years ago

Algebra, please help ASAP

Mathematics

1 answer:

muminat2 years ago

5 0

Answer:

Step-by-step explanation:

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Find the second derivative of 2x^3-3y^2=8

Umnica [9.8K]

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$\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}$

Step-by-step explanation:

Find the first implicit derivative using implicit differentiation

$2x^3-3y^2=8\\\\6x^2-6y\frac{dy}{dx}=0\\ \\-6y\frac{dy}{dx}=-6x^2\\ \\\frac{dy}{dx}=\frac{x^2}{y}$

Use the substitution of dy/dx to find the second derivative (d²y/dx²)

$\frac{d^2y}{dx^2}=\frac{(y)(2x)-(x^2)(\frac{dy}{dx})}{y^2}\\ \\\frac{d^2y}{dx^2}=\frac{2xy-(x^2)(\frac{x^2}{y})}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{2xy-\frac{x^4}{y}}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}$

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2 years ago

Can someone solve ASAP

WINSTONCH [101]

Answer:

18.5 in=decimal feet,

Step-by-step explanation:

1)18.5/12=18.512

2)18.512=1.542 feet

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2 years ago

Qhich are the solutions of the quadratic equation x^2=9x+6

Lera25 [3.4K]

x^2-9x-6=0

Use the quadratic formula to get (9+sqrt(105))/2 or (9-sqrt(105))/2

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2 years ago