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2 years ago

7

To drive safely along a road, drivers need to maintain a speed of at least 50 miles per hour and at most 60 miles per hour. Writ

e an absolute value equation that represents the minimum and maximum speeds.

1 answer:

elixir [45]2 years ago

3 0

Answer:

50 -60= and that is it

Step-by-step explanation:

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2 years ago

Read 2 more answers

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

Umnica [9.8K]

Answer:

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

Step-by-step explanation:

<u>Find the first implicit derivative using implicit differentiation</u>

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

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

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

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2 years ago