MAT135 Page < 2 Winter 2023 Problem 3 [10 points] Given a sound source (e.g. violin in an orchestra), how many violins do we need so that we perceive their sound as twice as loud? The answer is 10. To make it 4 times as loud (to our senses), we need 100 violins! This relationship is modelled by the function y = 100g2(x), where y is the number of violins and x is how loud many times louder we perceive it as compared to 1 violin. (A) Interpret what y describes about violins and loudness factor. (B) Interpret in words what d(y-1) dx describes about violins and loudness factor. -1 (C) Write a mathematical equation that explains what it means for y to be the inverse function of y. (D) Use the Chain "Rule" to take the derivative of the equation from part (C) with respect to x. (E) Solve for d(y-1) dx Explain your answers in detail. Problem 4 [10 points] ifin polmon only reproduce once in their lifetime. The per