Mathematics: Find d 2 y over d x squared for the curve given by x = 2t + 5 and y equals 3 times t over 2 . (4 points) 3 over the quantity 4 times t plus 10 the quantity 4 times t plus 10 over 3 1 0

Find d 2 y over d x squared for the curve given

jamesnech66

03.01.2022

$\dfrac{d^2y}{dx^2}=0$

D is correct.

Step-by-step explanation:

Given: x(t)=2t+5

$y(t)=\dfrac{3t}{2}$

To find: $\dfrac{d^2y}{dx^2}$

As we know,

$\dfrac{dy}{dx}=\dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}$

This is parametric equation. Differentiate both function separately and substitute into formula.

x(t)=2t+5 and $y(t)=\dfrac{3t}{2}$

$\dfrac{dx}{dt}=2,\dfrac{y}{dt}=\dfrac{3}{2}$

Substitute into derivative

$\dfrac{dy}{dx}=\dfrac{3}{2\cdot 2}=\dfrac{3}{4}$

For double derivative differentiate w.r.t x

$\dfrac{d^2y}{dx^2}=0$

Hence, The value of $\dfrac{d^2y}{dx^2}=0$

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anenee1

16.07.2021

What graph?

Step-by-step explanation:

show a graph and ill try to help

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