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Inverse of a Function In this Post I will discuss the method for finding the inverse of a given function from the 4 options as given in the Entrance tests of Engineering Universities. The very first step before finding the inverse is to make a check whether the function is One-to-One or not.  By One-to-One function we mean that function for example f(x) should not have the same value at two different values of x. In other words for each element of the Domain there should be a distinct element in the range. Check for One-to-One: A function which passes the horizontal line test is a One-to-One function. This means if a horizontal line is drawn it should not cross the function curve at more than one point. Another way to check if a function is One-to-One or not is shown below: If , f(a) = f(b) , implies that a=b , the given function is One-to-One. Consider the following examples: f(x) = 5x + 10 f(a) = 5a + 10 f(b) = 5b + 10 Taking f(a) = f(b) gives, 5a...

Respiratory System In Birds Respiratory system of birds is relatively different in mechanism and structure from mammals. They have most efficient respiratory system as they need continuous supply of oxygen due to high metabolic rate required for flight. Efficiency of birds respiratory system is because all the time fresh air is supplied to �Parabronchi� , the site for exchange of gasses(birds don�t have alveoli in their lungs as in mammals rather have these tiny passages opened at both end, connected to air sacs on both sides ).  Anatomy of avian show unique respiratory system adaptations. Avian lungs are small as compared to mammals. Most of volume is occupied by air sacs and parabronchi are the sites for gaseous exchange. Avian have larynx yet it does not have any role in voice production instead �Syrinx� in birds does the job and is called the voice box.  Air sacs (that are just extensions of lungs) have very thin walls with few blood vessels. So, they do...

Now the time has come when most of you are more worried about getting admission in medical or engineering colleges than your F.Sc. exams, and in a way I find it a good thing, after all these marks don�t matter once you are in a good university. In entrance test, one�s knowledge, concepts, ability to grasp a concept in least given time are tested. More importantly, concepts and open mindedness are at the top of the priority lists in any test. Questions are always easy, but they are twirled and twisted in such a way that you miss the true sense of the question and fail to understand it. So writing in general for all the entrance tests, I would say that going through the books all night, especially before the exam and stuffing your head with helping books won�t get you anywhere as compared to reading the text books carefully and thoroughly, solving some good questions on each topic and a good sleep before the test. Talking about the LUMS entrance test, most of you must have applied for b...

Entry Test Preparation brings you a first competition of its kind " Showcase Your Concepts ". Your task is to select any topic from the books of Fsc, any science subject, and write an explanatory article on it.  Some Important points about your articles:  It shouldn't include the book lines. Everyone can read from the books.  Try to make it somewhat funny, you can add images , ofcourse related to the topic. Videos should be made by you.  Try to write in such a way that would not make your readers feel bored. It should be try free. Recheck after writing it down.  You can take help from the web, but do not copy anything from the web. You can get the idea and write that in your own words. Selection of topics Depend on you people. Here is a list of topics selected till now. Students who did not submit their topics to us send us the topic name via message to our facebook page  https://www.facebook.com/Etest.Prep  . Amino Acids ( Chemistry Part...

Admission in Doctor of Physical Therapy (DPT) in RMC  Admission open in RMC Allied Health Science Institute, Rawalpindi in the following courses: Doctor of Physical Therapy. Medical Imaging Technology. Medical Laboratory Technology. Optometry & Orthoptics. Orthotics & Prosthetics. The Duration of the DPT course is 5 years while for the rest of the courses it is 4 years. What is the Eligibility criteria?                                                      Make sure the you meet the following conditions before applying for RMC: FSc Marks: You must have atleast 60% marks in Fsc/A level. Age Limit: Your age must be between 17 and 30 years. When are the admission starting?                                                 ...

The admission test for Federal Medical and Dental College was conducted on November 10, 2013. The result of the test was announced on December 9, 2013. The distribution of seats in FMDC is as below: Open Merit   6 Punjab   40 Sindh R    9 Sindh U    6 KPK   9 Balochistan    5 Gilgit Baltistan   2 FATA   2 AJK   2 Federal Capital Territory    10 Federal Government Employees    9 The Closing Merits of the first list are given below: Open Merit 84.25% Punjab 80.57% Sindh R 74.24% Sindh U 73.9%  KPK 77.65% Baluchistan 77.95% Gilgit Baltistan 73.99% FATA 76.85% AJK 81.32% Federal Capital Territory 79.119% Federal Government employes 79.71% The Closing Merits of the second list are given below: Open Merit  84.25% Punjab  79.76% Sindh R  73.38% Sindh U  73.74%  KPK  77.53% Baluchistan  76.02% Gilgit Baltistan  71.8% FATA  75.73% AJK  8...