The distance between two moving objects whose positions are given by ( x₁, y₁ ) and ( x₂, y₂ ) is given by D=√(x₂-x)² + ( Y₂ − ₁)² If x₁ =4cost, y₁=2 sint, x₂ =2 sin 2t and y₂ =3 cos 2t find dD dt when t = π

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 45E
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5. The distance between two moving objects whose positions are given by
( x₁, y₁ ) and ( x₂, Y₂ ) is given by D = √(x₂ −x₁)² + ( Y₂ −Y₁ )²
dD
If x₁ = 4 cost, y₁=2 sint, x₂ =2 sin 2t and y₂ =3 cos 2t find when t = π
dt
Transcribed Image Text:5. The distance between two moving objects whose positions are given by ( x₁, y₁ ) and ( x₂, Y₂ ) is given by D = √(x₂ −x₁)² + ( Y₂ −Y₁ )² dD If x₁ = 4 cost, y₁=2 sint, x₂ =2 sin 2t and y₂ =3 cos 2t find when t = π dt
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