SlytherinPrincess8 SlytherinPrincess8

12-05-2020
Mathematics

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Find [tex]\frac{d^2y}{dx^2}[/tex] for the curve given by x = t2 and y = t3.

Answer choices:
1

3/4t

0

4t/3

Thanks so much!

Respuesta :

MathPhys MathPhys

12-05-2020

Answer:

3/(4t)

Step-by-step explanation:

x = t²

t = x^½

y = t³

y = (x^½)³

y = x^(3/2)

dy/dx = 3/2 x^(1/2)

d²y/dx² = 3/4 x^(-1/2)

d²y/dx² = 3/(4t)

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