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Africtionless spring with a 7-kg mass can be held stretched 0.2 meters beyond its natural length by a force of 60 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds.

Africtionless spring with a 7-kg mass can be held stretched 0.2 meters beyond its natural length by a force of 60 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds.

Calculus For The Life Sciences
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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 27E: Find derivatives of the functions defined as follows. y=34x2+2
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*) Find y as a function of x if y" 11y" + 18y' = 32e*, y(0) = 29, y'(0) = 12, y"(0) = 22. y(x) =
Transcribed Image Text:*) Find y as a function of x if y" 11y" + 18y' = 32e*, y(0) = 29, y'(0) = 12, y"(0) = 22. y(x) =
(*. frictionless spring with a 7-kg mass can be held stretched 0.2 meters beyond its natural length by a force of 60 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds. meters
Transcribed Image Text:(*. frictionless spring with a 7-kg mass can be held stretched 0.2 meters beyond its natural length by a force of 60 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds. meters
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in b part, system gives an error that t is not defined for the frictionless spring question.

- ) Find the general solution to y(4) — 5y"' + 6y" = 0. In your answer, use C₁, C2, C3 and c4 to denote arbitrary constants and x the independent variable. Enter c₁ as c1, c₂ as c2, etc. help (equations)
Transcribed Image Text:- ) Find the general solution to y(4) — 5y"' + 6y" = 0. In your answer, use C₁, C2, C3 and c4 to denote arbitrary constants and x the independent variable. Enter c₁ as c1, c₂ as c2, etc. help (equations)
(*. frictionless spring with a 7-kg mass can be held stretched 0.2 meters beyond its natural length by a force of 60 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds. meters
Transcribed Image Text:(*. frictionless spring with a 7-kg mass can be held stretched 0.2 meters beyond its natural length by a force of 60 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds. meters
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