Question 1: Evaluate the following limit as x approaches 3: lim x-9 2-3 x 3 -...

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Question 1: Evaluate the following limit as x approaches 3: lim x-9 2-3 x 3 - Question 2: Find the derivative of the function f(x) = 3x48x3+5x - 2x+1. - Question 3: Differentiate the equation xy + x = 4 implicitly with respect to x. Question 4: A ladder is leaning against a wall. If the bottom of the ladder slides away from the wall at a rate of 2 ft/s, and the top of the ladder is sliding down the wall at a rate of 1 ft/s, find the length of the ladder when the bottom is 5 feet from the wall. Question 1: Evaluate the following limit as x approaches 3: lim x-9 2-3 x 3 - Question 2: Find the derivative of the function f(x) = 3x48x3+5x - 2x+1. - Question 3: Differentiate the equation xy + x = 4 implicitly with respect to x. Question 4: A ladder is leaning against a wall. If the bottom of the ladder slides away from the wall at a rate of 2 ft/s, and the top of the ladder is sliding down the wall at a rate of 1 ft/s, find the length of the ladder when the bottom is 5 feet from the wall.