4. Pressure is the force applied perpendicular to the surface of an object per unit area...

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4. Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. It has been determined that the pressure exerted on the floor by the heel of someone's shoe is inversely proportional to the square of the width of the heel of their shoe. When Mrs. The Best Physics Teacher wears 3-cm wide heals, she exerts a pressure of 300 kPa. a) Determine a function to represent the pressure, p, exerted by Mrs if she wears heels of width x. b) Sketch a graph of this function. c) If she wears spike heels with a width of 0.5 cm, what pressure does she exert? d) What do the slopes of the tangents of the function in part a) allow you conclude about the rate of change in the pressure as Megumi decreases the width of her heels? C /10 5. a) What could be an equation of a rational function with the following conditions: reciprocal of a quadratic function 4 asymptotes with equations x = -5, x=3, and y = 0 y <0 whenever x 4 b) How many such equations are there? Explain your answer. 10 4. Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. It has been determined that the pressure exerted on the floor by the heel of someone's shoe is inversely proportional to the square of the width of the heel of their shoe. When Mrs. The Best Physics Teacher wears 3-cm wide heals, she exerts a pressure of 300 kPa. a) Determine a function to represent the pressure, p, exerted by Mrs if she wears heels of width x. b) Sketch a graph of this function. c) If she wears spike heels with a width of 0.5 cm, what pressure does she exert? d) What do the slopes of the tangents of the function in part a) allow you conclude about the rate of change in the pressure as Megumi decreases the width of her heels? C /10 5. a) What could be an equation of a rational function with the following conditions: reciprocal of a quadratic function 4 asymptotes with equations x = -5, x=3, and y = 0 y <0 whenever x 4 b) How many such equations are there? Explain your answer. 10