Mathematics: Find dy/dx if x=at⁴, y = at³

Find dy/dx if x=at⁴, y = at³

Ответ:

dondre54

30.01.2022

Mathematics

The answer for dy/dx is 3/4t .

Step-by-step explanation:

First, you have to differentiate x and y expressions in term of t :

$x = a {t}^{4}$

$\frac{dx}{dt} = 4a {t}^{3}$

$y = a {t}^{3}$

$\frac{dy}{dt} = 3a {t}^{2}$

Next, we can assume that dy/dt ÷ dx/dt = dy/dx. So we have to substitute the expressions :

$\frac{dy}{dt} \div \frac{dx}{dt} = \frac{dy}{dt} \times \frac{dt}{dx} = \frac{dy}{dx}$

$\frac{dy}{dx} = 3a {t}^{2} \div 4a {t}^{3}$

$\frac{dy}{dx} = 3a {t}^{2} \times \frac{1}{4a {t}^{3} }$

$\frac{dy}{dx} = \frac{3}{4t}$

0,0(0 оценок)

Ответ:

katii54feliz

28.05.2022

Mathematics

Hey there! :)

For this, you have to use the Pythagorean Theorem.

a² + b² = c² is the same as c² - a² = b²

c = 26
26² = 26 × 26 = 676

a = 10
10² = 10 × 10 = 100

676 - 100 = 576

√576 = 24

b = 24 cm

Hope this helps :)

0,0(0 оценок)

Find dy/dx if x=at⁴, y = at³

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question