Homework 2.11 Score: 0/8 0/8 answered Question 1 Suppose that x + y = 82. > dy (1) Use the method of implicit differentiation to find dx 33 dy dx (2) Find the equation of the tangent line at the point (x, y) = ( 1, 3). The equation is y = Question Help: Video Submit Question Homework 2.11 Score: 0/8 0/8 answered Question 2 < > Use implicit differentiation to determine dy 339 dx given the equation x + y5 dy dx Question Help: Video Submit Question = 7. Homework 2.11 Score: 0/8 0/8 answered Question 3 < > A company selling widgets has found that the number of items sold a depends upon the price p at which they're sold, according the equation x = 80000 2p+1 Due to inflation and increasing health benefit costs, the company has been increasing the price by $3 per month. Find the rate at which revenue is changing when the company is selling widgets at $130 each. Question Help: Video Submit Question dollars per month Homework 2.11 Score: 0/8 0/8 answered Question 4 < > - 2x2. If sales are A company's revenue from selling a units of an item is given as R = 2000x increasing at the rate of 40 units per day, how rapidly is revenue increasing (in dollars per day) when 340 units have been sold? dollars per day Question Help: Video Submit Question Homework 2.11 Score: 0/8 0/8 answered Question 5 When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV 1.4 = C where C is a constant. Suppose that at a certain instant the volume is 560 cubic centimeters and the pressure is 83 kPa and is decreasing at a rate of 15 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? cm min (Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kilopascal or 1000 Pascals.) Question Help: Video Submit Question Homework 2.11 Score: 0/8 0/8 answered Question 6 < > dr dA Let A be the area of a circle with radius r. If = 3, find when r = 5. dt dt Question Help: Video Submit Question Homework 2.11 Score: 0/8 0/8 answered Question 7 < dy Given the equation below, find dx dy 33 - 18x6 + 5x 18y + y = _ 12 Now, find the equation of the tangent line to the curve at (1, 1). Write your answer in mx + b format y = Question Help: Video Submit Question Homework 2.11 Score: 0/8 0/8 answered Question 8 > > cm A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 . At min what rate is the volume of the snowball decreasing when the radius is 11 cm? (Note the answer is a positive number). cm min Hint: The volume of a sphere of radius r is V = 4 3 Question Help: Video Submit Question