1. [-11 Points] I DETAILS I Math 110 Course Resources - Implicit Differentiaion & Related Rates Course Packet on implicit differentiation Let x3 + y6 + 4x + By = 1. Compute g1 at (1,1). X Submit Answer 2. [-11 Points] DETAILS Math 110 Course Resources - Implicit Differentiaion & Related Rates Course Packet on implicit differentiation Let xy7 = 5x + y3 - 17. Compute (2? at (4,1). Submit Answer 3. [-11 Points] DETAILS Math 110 Course Resources - Implicit Differentiaion & Related Rates Course Packet on implicit differentiation Let V\" 4x + 3y = xy + x. Compute g}: at (4,0)- x Submit Answer 4. [-/1 Points] DETAILS Math 110 Course Resources - Implicit Differentialon & Related Rates Course Packet on implicit differentia Let 3x3 + yo + 8y = 12. Compute dy. dx dy - = dx Submit Answer 5. [-/1 Points] DETAILS Math 110 Course Resources - Implicit Differentialon & Related Rates Course Packet on implicit differentiat Let x y - x + 12y - 35 = 0. Compute dx dy dx Submit Answer 6. [-/1 Points] DETAILS Math 110 Course Resources - Implicit Differentiaion & Related Rates Course Packet on implicit differentiat Let (x + 14)(y + 50) = x6 - y8 . Compute dy dx dy = dx7. [-I1 Points] I DETAILS I Math 110 Course Resources - Implicit Differentiaion & Related Rates Course Packet on computing elasticity of demand using implicit differentiation The demand function for a certain brand of compact discs is given by p = 3x2 Sx+52 where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. (a) Compute the price, p, when x = 3. Price, p = |:| dollars (b) Use implicit differentiation to compute the rate of change of demand with respect to price, p, when x = 3. Do not round your answer. Rate of change of demand, x' = |:| thousands of units per dollar (c) Compute the elasticity of demand when x = 3. Do not round your answer. Elasticity of Demand = |:| Submit Answer 8. [-/1 Points] DETAILS ' Math 110 Course Resources - Implicit Differentiaion & Related Rates Course Packet on computing elasticity of demand using implicit differentiation The yearly demand function for Penn State Bakery cookie trays is given by x2+3pz+2x+9p=240 where p is the wholesale unit price in dollars and x is the quantity demanded each year, measured in units of a thousand. (a) Compute the price, p, when x = 10. Price, p = |:| dollars (b) Use implicit differentiation to compute the rate of change of demand with respect to price, p, when x : 10. Do not round your answer. Rate of change of demand, x' : thousands of units per dollar (c) Compute the elasticity of demand when X = 10. Do not round your answer. Elasticity of Demand = Submit Answer 9. [/1 Points] Math 110 Course Resources - Implicit Differentiaion & Related Rates Course Packet on related rates The weekly demand equation is given by p + x + 4Xp = 29, where x is the number of thousands of units demanded weekly and p is in dollars. If the price p is decreasing at a rate of 36 cents per week when the level of demand is 3000 units, then demand is 0 increasing 0 decreasing at :] units per week. SubmitAnswer 1o. [11 Points] DETAILS Math 110 Course Resources - Implicit Differentiaion & Related Rates Course Packet on related rates A company is decreasing production of math-brain protein bars at a rate of 200 cases per day. All cases produced can be sold. The daily demand function is given by = 90 _ A, p(X) 200 where X is the number of cases produced and sold, and p is in dollars. If the daily production is 500 cases, then revenue is O decreasing 0 increasing at a rate of :] dollars per day. Submit Answer 11. [-I1 Points] DETAILS Math 110 Course Resources Implicit Differentiaion & Related Rates Course Packet on related rates The wholesale price p of etablet writing styluses in dollars is related to the supply X in thousands of units by 400p2 x2 = 19584, If 4,000 styluses are available at the beginning of a week, and the price is rising at 16 cents per week, then supply is O falling O rising at a rate of [: styluses per week. Submit