5. An object weighing 8 pounds stretches a spring 4 inches. In addition, the system is inside a medium that imparts a viscous force of 6 ft-lb when the speed of the object is 2 ft/s. The object is pulled up 3 inches and set in motion with a downward velocity of 1 ft/s. Set up the initial value problem that describes the motion of the object. (Measure length in feet) YOU ARE NOT ASKED TO SOLVE THE DIFFERENTIAL EQUATION.

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A: I have given detailed solution below thanks Explanation:Step 1: Step 2: Step 3: Step 4:

Q: -2 3 "{B][6]·6])6]} Find a basis for the Span -2 0 5 0

A: A basis set is  ⎩⎪⎨⎪⎧​⎣⎢⎡​1−20​⎦⎥⎤​ , ⎣⎢⎡​−235​⎦⎥⎤​⎭⎪⎬⎪⎫​Explanation:

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Q: Let 2 - 2 3 H = span A basis for the subspace HCR4 is { 3 vector

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Q: f(n) = √√n g(n) = 101n t(n) = 10 r (n) = (logn)³ w (n) = 100 s (n) = n 10 k (n) = n(n+1) 1(n) = 2 m…

A: Here we make the inequalities chains.

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Q: 8 Question 2 Given A = find the Jordan form J and a matrix M such that J = = M-1AM. Use this to find…

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Q: Complex:Find the Laurent Series (b) 1 3 (2-2)- centered at 2

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Q: •S[x] = − 6” rt₁ x + x dt 10 1+x+x Show that the Euler-Lagrange equation for S[x] is given by 2+3x+x…

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Q: None

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