Question The function y(x) = 2 x3 + 3e (3x) is invertible. Give the derivative of f- at x = 3.

Forty wells, each producing an average of 500 barrels of oil per hour, are being operated in an oil field. It is estimated that for each new will that is drilled, the average output of each well will drop by 10 barrels per hour. Assuming this to be the case, how many oil wells should be drilled in the oil field to maximize the total average hourly output? Be sure to label your variables including units. Be sure to label what your function represents again using the appropriate units of measurement.

1. For a Solid Oxide Fuel Cell that uses hydrogen as fuel, calculate the maximum energy output possible at 800°C. 2. For a methanol fuel cell with total reaction equation and AG given, calculate the open circuit voltage. CH3OH + 3/2 02 2H2O + CO2 AG = -698.2 kJ/mol 3. H2O is electrolyzed using an SOEC reactor. Inlet of the cathode has 30ml/min H2O, outlet of anode has 5ml/min 02, and applied current is 2A. Calculate the H2O conversion and Faradaic efficiency (both in %). (Flow rates are given for gas phase in STP)

2-47. Determine the reactions at the supports A and C. The frame is pin connected at A, B, and C and the two joints are fixed connected. 10 KN 15 kN/m - - 2m -1m-

A Family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is taking longer than before to sell a house. The wife is concerned and wants to know when it is optimal to put their house on the market. Her realtor friend informs them that the last 26 houses that sold in their neighborhood took an average time of 218 days to sell. The realtor also tells them that based on her prior experience, the population standard deviation is 72 days.a. What assumption regarding the population is necessary for making an interval estimate for the population mean? b. Construct the 90% confidence interval for the mean sale time for all homes in the neighborhood.

Write Socket Programming for communication between a Client and a Server. write a client-side code and server-side code for TCP protocol only. two files: • one file for server-side; name it as, server tcp.c and another file for client-side code, e.g., client tcp.c In order to run the both the client and server code on the same host, use a localhost IP address for both client and server (same address). In the client code after the connection is made , send 50 packets to the server side. While writing the packet content, write your name as a string and copy as a content in the packet to send over the socket to the server. While sending 50 packets add a sleep time less than 0.1 second. You can choose any number, e.g., 0.025, 0.05, 0.09, 0.075 etc. choose any packet size (1500 bytes) less than the TCP MTU ize that would fit your full name as a string. On the server side (receiver), print the packet content for first 10 packets. Explain which programming software is used and how to run both the client and server using the ip address. In C language

The drum of a washing machine has a 90 cm diameter driven pulley and a maximum rotation speed of 2000 rpm. If the driving pulley attached to the electric motor has a diameter of 9 cm A- Make a sketch of the washing machine and the pulley indicating the diameters, speeds. B- Is it a multiplier or reducer system? C- Calculate transmission ratio? D- What is the maximum turning speed of the driving pulley?