You MUST show all work 7. Find an equation for the tangent line to the graph...

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You MUST show all work 7. Find an equation for the tangent line to the graph of g(x) = x(3x-1) at the point (1,4). 8. The position function (in meters) of a state-of-the-art drone that is patrolling a Top Secret location is given by s(t) = t - 7t + 10, where t is in seconds. a) Find the velocity and acceleration function at time t. b) What is the velocity and acceleration of the drone when t = 3? c) When is the drone at rest? You MUST show all work 7. Find an equation for the tangent line to the graph of g(x) = x(3x-1) at the point (1,4). 8. The position function (in meters) of a state-of-the-art drone that is patrolling a Top Secret location is given by s(t) = t - 7t + 10, where t is in seconds. a) Find the velocity and acceleration function at time t. b) What is the velocity and acceleration of the drone when t = 3? c) When is the drone at rest?