mass suspended from a spring performs vertical oscillations and the displacement x (cm) of 1 d?x he mass at time t (s) is given by 2 dt? dx 1 = -48x. If x = = 0 when t = 0, determine and dt he period and amplitude of the oscillations.

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Q: both a) b) c) & d)

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A: let first term = a  and common difference = d

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A: We solve the given IVP  y"-4y'-5y=e-3tsin(4t)........(1) y(0)=3, y'(0)=10.......(2)

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A: Given ∫14f(x)dx = 2   and∫14g(x)dx = 7

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Q: ACT 1.1. “ What I can Do?" Construct a table of values to investigate the following limits: 10 a. li...

A: According to our guidelines we can answer only one question and rest can be reposted. 

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A: given three judges A, B, C   find which pair of  judges has common approach

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A: As multiple questions were posted and it was not mentioned that which question to be solved, I solve...

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Q: (c) Determine the definiteness of the quadratic form q(x) = xỉ +2/6x,6x2 + 2x3

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A: Let us solve the integral using substitution method in the next steps.

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A: