6. In an electrophoretic fiber-making process, the diameter of the fiber, d, is related to the current flow, 1. The following are measured during production: 650 42 500 650 350 27 500 33 300 400 400 I (nA) d (um) 300 34 33.5 37 22 26 30 The relations-ip between the current and the diameter can be modeled with an equation of the form d = a+bI .Use the data to determine the constants a and b that best fit the data.

3. 01:26:35 The following two-way table shows the distribution of daily traffic and weather issues in a certain large city. Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent? Daily Traffic No, P(A) = P(B|A). Нeavy Traffic Light Traffic Total O No, P(A) + P(A|B). O Yes, P(A) = P(A|B). O Yes, P(A) + P(B|A). Bad Weather 25 30 Good Weather 55 15 75 Total 80 20 100 Weather Conditions

An employee at Shoes R Us gets a discount of 18% on all regular priced shoes. What is the proportional constant that can be used to calculate the the sale price (y) of any regular priced pair of shoes (x) that the employee purchases?

In a study conducted at Dartmouth College, mice with a particular type of cancerous tumor were treated with a chemotherapy drug called Cisplatin. If the volume of one of these tumors at the time of treatment is Vo, then the volume of the tumor t days after treatment is modeled by the function V(t) = = Vo(0.99e- + 0.01e0.239t). -0.1216t 1. Set Vo = 3 and plot V(t) over the interval 0 ≤ t ≤ 16. Appropriately adjust the viewing window to see the behavior of V(t) and sketch the graph below. 2. From the graph, estimate the time at which the volume of the tumor decreased to half its original amount. There are two such times, record each to the nearest whole number. 3. With Vo = 3, write down the equation whose solution gives the time at which the tumor is half its original volume. (Re)write the equation with zero in the right-hand side. 4. Using one of your answers from 2. as to and your equation from 3., apply two steps of Newton's method to better approximate this time. (Round to 3 decimal…