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Can you help with 3,6,7 3. Suppose the acceleration of a particle with respect to time t is given by a(t) = 3t - 2,

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Can you help with 3,6,7

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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? 5. Suppose f(x) = et . Find f"(x). 6. A polynomial p(x) has a relative maximum at (-2, 4), a relative minimum at (1, -3), a relative maximum at (5, 7), a relative minimum at (9,4), and no other critical points. How many real zeros does p(x) have? Hint: Sketch the graph of p(I). 7. Find an equation for the tangent line to the curve y = 1+ 2x + ret passing through the point (0, 1)

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