Question 1

The equation below defines y implicitly as a function of x: 4x2 + 2y2 = 12 Use the equation to answer the questions below. A) Find dy/dx using implicit differentiation. SHOW WORK. B) What is the slope of the tangent line at the point (1, - 2)? SHOW WORK. C) What is the equation of the tangent line to the graph at the point (1, - 2)? Put answer in the form y = mx + b and SHOW WORK.The monthly sales of Sunny Electronics' new iSLm musical player is given by q\") = 2,000r 100:2 units, t months after its introduction into the market. The price Sunny charges is pm = 100 _ t2 dollars per iSun, t months after its introduction into the market. Use this information to answer the questions below. A) Find the rate of change of monthly sales six months after introduction to the market. SHOW WORK and include units with your answer. B) What is the rate of change of price six months after introduction to the market? SHOW WORK and include units with your answer. C) What is the rate of change of monthly revenue six months after introduction to the market? SHOW WORK and include units with your answer. D) Interpret your answer in part (C) in three parts as discussed in class. If you were not able to answer part (C), interpret your answer from part (A) or part (B) in three parts