1. A particle moves horizontally according to the law s = t³-t²- 24t + 1. (a) Where is the particle and at what velocity is it moving when t = 1? (b) When will the particle come to rest and what is its acceleration at that time?

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A: See this solution in below.

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A: Given that the graph of a derivative f' is shown to the right.

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A: Given graph:-

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A: we will find the required.

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Q: Write

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Q: Sketch the parabola y = -x² + 7x + 18 and shade the area enclosed by the parabola and the x-axis.…

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Q: elnx 8) fex dx g) √1-e²t dt (Hint: let u = e¹) h) fx dx dx (let u = x¹/2)

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A: Given:      ∫tan3x dx Rewrite:     =∫tan2xtanx dx    we know that         tan2x=sec2x-1…

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Q: 1. Asymptotes at y = 5/3x - 29/3 and y = -5/3x + (11/3 and a vertex at (1, -3).

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A: On solving this we will get :-

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Q: = lim r++m et + ex et - e-x

A: