Question Solve the following related rates problems:A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 3 ??/?. How rapidly is the area enclosed by the ripple increasing at the end of 10 ??

2.31 Let R be the region bounded above by the graph of the function f(x) = ?? and below by the x-axis over the interval (0,2] . Find the centroid of the region. 2.32 Let R be the region bounded above by the graph of the function f(x) = 6 - 2² and below by the graph of the function g(x) = 3 - 2x. Find the centroid of the region. 2.33 Let R be the region bounded above by the graph of the function f(x) = 1-2 and below by r -axis. Find the centroid of the region.

Consider the following diagram: Internet Modem Wireless AP Switch Wireless AP DO Wireless AP Server 2.1 Using a table, compare 4 types of area networks. Consider the size of the network and the transmission media that is most likely to be found in each type of network. (8) 2.2 Based on the information given in 2.1, which type if network is shown in the Consider the following diagram: Internet Modem Wireless AP Switch Wireless AP DO Wireless AP Server 2.1 Using a table, compare 4 types of area networks. Consider the size of the network and the transmission media that is most likely to be found in each type of network. (8) 2.2 Based on the information given in 2.1, which type if network is shown in the diagram? Motivate your (2) answer. 2.3 This network has wireless access points. Compare three modulation techniques, using sketches, that could be used by these access points to transmit data. Use the bit-stream 10000101111. (6)

Biostatistics ESSAY A firm investigates the length of telephone conversations of their office staff. Ten consecutive conversations had lengths, in minutes: 10.7, 9.5, 11.1, 7.8, 11.9, 4.1, 10.0, 9.2, 6.5, 9.2. Derive a 95% confidence interval for the mean conversation length. Test whether the mean length of a conversation is eight minutes.(25 MARKS)

P3.5 The sales revenue, food cost of sales, and guests served for a small fast- food carryout division of a restaurant for the past six months are given below. Sales Month Cost of Revenue Guests Served Sales, Food 1 2. 4 $258,200 274,800 285,600 289,400 298,300 304,600 $ 96,200 104,300 110,500 113,100 118,900 123,700 10,200 10,400 10,300 10,100 10,400 10,500 6 For each of the six months calculate average check and average costs of sales food. Using these averages, calculate an index number. Set the in- dex for month 1 at 100 and complete index numbers for the remaining five months. With the index numbers identified, convert sales revenue and cost of sales food from historic to current dollars.

A cylindrical rock sample has a length of 6 cm, a diameter of 4 cm, and a dry weight of 166.4 g. When fully saturated with an oil of density 0.85 g/cm3, the weight of this sample is 176.9 g. Assuming constant temperature, find: i) The porosity of the sample ii) The pore compressibility of the sample, given that 0.2 cm of oil leaves the sample when a pressure of 3200 psig is applied on it iii) The amount of oil that can be extracted from the sample when a pressure of 2000 psig is applied on it

2.7 LAB - Alter Movie table The Movie table has the following columns: ID - integer, primary key Title - variable-length string Genre - variable-length string RatingCode - variable-length string Year - integer Write ALTER statements to make the following modifications to the Movie table: Add a Producer column with VARCHAR data type (max 50 chars). Remove the Genre column. Change the Year column's name to ReleaseYear, and change the data type to SMALLINT.