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A 4-pound weight is hung on a spring and stretches it 1 foot. The mass spring system is then put into motion in a medium offering a damping force numerically equal to the velocity. If the mass is pulled down 6 inches from equilibrium and released, the initial value problem describing the position, x(t), of the mass at time t is O a" – 8x' + 32x = 0, x (0) = 6, a' (0) = O a" + 8x' +32x 0, x (0) = 6, x' (0) = 0 O a" – 8x' + 32x 0, x (0) =, a' (0) = 0 O a" + 8x' + 32x = 0, r (0) = , a' (0) = 0

A 4-pound weight is hung on a spring and stretches it 1 foot. The mass spring system is then put into motion in a medium offering a damping force numerically equal to the velocity. If the mass is pulled down 6 inches from equilibrium and released, the initial value problem describing the position, x(t), of the mass at time t is O a" – 8x' + 32x = 0, x (0) = 6, a' (0) = O a" + 8x' +32x 0, x (0) = 6, x' (0) = 0 O a" – 8x' + 32x 0, x (0) =, a' (0) = 0 O a" + 8x' + 32x = 0, r (0) = , a' (0) = 0

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4) Please help with following multiple choice ASAP!

*Please note the previous problem is included in the second picture.

In the previous problem, the solution for the position, x(t), is O r (t) = (cos(4t) + sin(4t)) 2 -4t O x (t) = (cos(4t) + sin(4t)) 2 O z (t) = (cos(8t) + sin(8t)) %3D 2 O r (t) = (cos(8t) + sin(8t)) e1t
Transcribed Image Text:In the previous problem, the solution for the position, x(t), is O r (t) = (cos(4t) + sin(4t)) 2 -4t O x (t) = (cos(4t) + sin(4t)) 2 O z (t) = (cos(8t) + sin(8t)) %3D 2 O r (t) = (cos(8t) + sin(8t)) e1t
A 4-pound weight is hung on a spring and stretches it 1 foot. The mass spring system is then put into motion in a medium offering a damping force numerically equal to the velocity. If the mass is pulled down 6 inches from equilibrium and released, the initial value problem describing the position, x(t), of the mass at time t is O x" – 8x' + 32x = 0, x (0) = 6, a' (0) = 0 O x" + 8x' + 32x = 0, x (0) = 6, a' (0) = 0 %3D O x" – 8x' + 32x = 0, x (0) = , a' (0) = 0 %3D O a" + 8x' + 32x = 0, x (0) = , r' (0) = 0
Transcribed Image Text:A 4-pound weight is hung on a spring and stretches it 1 foot. The mass spring system is then put into motion in a medium offering a damping force numerically equal to the velocity. If the mass is pulled down 6 inches from equilibrium and released, the initial value problem describing the position, x(t), of the mass at time t is O x" – 8x' + 32x = 0, x (0) = 6, a' (0) = 0 O x" + 8x' + 32x = 0, x (0) = 6, a' (0) = 0 %3D O x" – 8x' + 32x = 0, x (0) = , a' (0) = 0 %3D O a" + 8x' + 32x = 0, x (0) = , r' (0) = 0
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