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Can you provide detailed explanation for 1,2, and 4 1. Let f(x) = x3 + vx. Evaluate f'(1). 2. Find the value of dy fa

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Can you provide detailed explanation for 1,2, and 4

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1. Let f(x) = x3 + vx. Evaluate f'(1). 2. Find the value of dy fa at x = 0 if y = tan-1(er). 3. Suppose the acceleration of a particle with respect to time t is given by a(t) = 3t - 2, and the particle has initial position and velocity both zero. Find the position of the particle at time t = 4. 4. Each side of a cube is increasing at a rate of 3m/s. At what rate is the volume increasing when the volume is 8m3

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