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Parametric Equations and derivatives Flashcards | StudBud

Explore/Parametric Equations and derivatives

Find the derivative for the set of parametric equations, x = √t, y = t2 + 5

Find the d2y/dx2 for x = √t and y = 3t - 1

Parametric Equations and derivatives

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Calculus Derivatives of Parametric Equations

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Questions 5

Answers

1
Find the d²y/dx² for x = √t and y = 3t - 1
6
-3
-6
3
2
Find the derivative for the set of parametric equations, x = √t, y = t² + 5
-4t(1/2)
-4t(3/2)
4t(1/2)
4t(3/2)
3
How are parametric equations different from rectangular equations?
They are only calculated using the metric system
They can not be graphed
They are always functions
They are equations that depend on a third variable
4
Find the slope at t = 1 for x = √t and y = 3t - 1
3
-3
6
-6
5
Find the derivative of the set of parametric equations,x = 2t and y = 5t²
dy/dx=10t/2
dy/dx=2/5
dy/dx=0
dy/dx=2/10