Consider the set C(R) = {continuous functions of real numbers} and consider its subsets. Show
that C(R) is a vector space
a. Show that the set of differentiable functions is a subspace.
b. Show that the sets O of odd functions and E of even functions are subspaces.
c. Determine if the set U of functions whose definite integral over (0,1) is a subspace or
not.

7. The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with mean of 0.04 flaws per square foot of plastic panel. Assume automobile interior contains 10 square feet of plastic panel.(a) What is the probability that there are no surface flaws in an auto's interior?(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws?(c) If 10 cars are sold to a rental company, what is the probability that at most two cars have any surface flaws?

QN ; Compare [ a construction company ] against TEN of the requirements of the audit standard given in supporting document below. [ 30 marks ] 1.0 PlanningRequirements:1.1Establish audit programme.1.2Selection of and checks on competence of audit lead.1.3Establish the scope of the audit.1.4Set procedures for the

Design a 4-bit UP-DOWN counter. It counts 1 to 7 only. The middle output is 1111. Include truth table, K-map with equation, and decoder implementation. Please answer fast 20 mins left

I need answer in C++. Thank You!!! Project on pharmacy management system in c++ with oop concepts classes (medicine type, administration, cashier, manager, customer, owner) for software engineering mapping abstract class encapsulation inheritance friend function polymorphism association

FINAL SEMESTER PROJECT in C++ Create a bank management system using the concepts of oop in c++ having the following features Creating new account Withdrawing money Depositing money Money transfer Credit card and Debit card payments Modifying account Deleting account View your account details View all account details Use the concepts of encapsulation, abstraction, polymorphism, Inheritance, Abstract-Concrete class, filing, Generic programming, Exception handling, vectors-sets-lists. The project should be of atleast 900-1000 lines.

Please DO NOT respond to this question by copy/pasting the code provided elsewhere on the site, none of those work. Thanks. Virtual Memory Lab This lab project addresses the implementation of page-replacement algorithms in a demand-paging system. Each process in a demand-paging system has a page table that contains a list of entries. For each logical page of the process, there is an entry in the table that indicates if the page is in memory. If the page is in memory, the memory frame number that page is resident in is indicated. Also, for each page, the time at which the page has arrived in memory, the time at which it has been last referenced, and the number of times the page has been referenced since the page arrived in memory are maintained. The page table data structure is a simple array of page-table entries (PTEs). Each PTE contains five fields as defined below: struct PTE { int is_valid; int frame_number; int arrival_timestamp; int last_access_timestamp; int reference_count; } Each process in the system has a page table that is simply an array of PTEs. Each process also has a pool of frames that is allocated. The frame pool for a process is represented as an array of integers, where each Integer represents the frame number of a frame that is free and is available for use by the process. Note that in order to get the frame number in the pool, you first need to access the integer in the array. This lab project aims to exercise the various policies for page replacement. In particular, we study the following three page-replacement policies: First-In-First-Out (FIFO) Least-Recently-Used (LRU) Least-Frequently-Used (LFU) In order to implement the above policies, we need to develop corresponding functions that process page accesses for a process. That is, for each process, given its page table, a logical page number being referenced and the free frame pool of the process, the functions should determine the memory frame number for the logical page. Also, the functions should modify the page table and the free frame pool appropriately. The details of the functions with respect to the different policies are described below. You need to develop code for these functions that implement the specifications. Place the code in a file called virtual.c. You should include the oslabs.h file.