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(PART 1 ) GEOMETRIC PROGRESSION / GEOMETRY MEAN (WELL EXPLA 04/01/2024

@ everyone. TOPIC :- This is an online lectures on Mathematics, Good for Undergraduates / Prospective undergraduate students....... Do Subscribe for free to have access to all our lectures on the channel......here is the Lecture of the day :-

(PART 1 ) GEOMETRIC PROGRESSION / GEOMETRY MEAN (WELL EXPLA SOME SOLVED QUESTIONS1. State the formula in term of n for Tn in its simplest form for 80, 20, 52. The first and Seventh term of a G.P are 40 1/2 and 1/18 re...

POLYNOMIAL Remainder Theorem & Factor Theorem 11/10/2023

TOPIC :- POLYNOMIAL-Finding Remainder with Remainder Theorem and Factorisation of Polynomial . (Subscribe for update information for Subscription is free...)….. This is an online free lectures on Mathematics, it is good for Undergraduates / Prospective undergraduate students............here is the Lecture of the day :-

POLYNOMIAL Remainder Theorem & Factor Theorem LECTURES ON REMAINDER THEOREM & FACTORS THEOREM

POLYNOMIAL Lectures, 09/10/2023

TOPIC :- POLYNOMIAL- Addition, Subtraction and Multiplication Lectures . (Subscribe for update information for Subscription is free...)….. This is an online free lectures on Mathematics, it is good for Undergraduates / Prospective undergraduate students............here is the Lecture of the day :-

POLYNOMIAL Lectures, Addition, Subtraction and Multiplications of POLYNOMIALS

INTEGRATION: The Definite Integral 07/10/2023

TOPIC :- INTEGRATION, The Definite Integral. (Subscribe for update information for Subscription is free...)….. This is an online free lectures on Mathematics, it is good for Undergraduates / Prospective undergraduate students............here is the Lecture of the day :-

INTEGRATION: The Definite Integral Solving definite integral Question

13/09/2016

Advice to Freshers In Nigerian Higher Institutions

There are about 1.4 million young Nigerians who are waiting to hear that word congratulations; waiting to receive an admission letter that begins with it.

Sadly, only about 700,000 of these students will receive the good news. But getting admission into the tertiary institution is just a tip of the iceberg.

The sad fate of students, who have been unable to complete their tertiary education for reasons ranging from peer pressure, cultism, drugs and alcohol abuse to pure laziness should serve as an example to fresh students, but this is not always the case.

Many fresh students still fall victims of these vices. Some other times, challenges could be as minor as the most affordable way to get food or the best ways to save your money.

Living conditions
Reports say that only about 25 % of Nigerian University students live on campus. This means that for every student who lives on campus, there are three others who face the stressful task of commuting to and from school every day.

Staying off campus isn’t just stressful, it could
sometimes be dangerous. Most incidents of campus violence usually take place off campus.

But if you can’t make the 25%, and need to stay in an off campus hostel, don’t be alarmed.

However, ensure that you do your best to investigate your off campus hostel. What sort of people stay there? What’s the security like? Be sure to begin searching as soon as possible to get the best deals available. If you need to share rent and board with someone else, do your best to find out about your future roommate’s character.

Choose friends wisely
You have probably heard it time and time again that bad company corrupts good manners. It might sound like a cliché to you; but it’s probably ageless because it’s true. No, you will not get special grades for making friends with the most popular people on campus. So don’t be so desperate that you can do anything for
friendships.

Take out time to pick friends that can spur you on morally and academically. Remember that although campus streets may sometimes seem like a movie set, you’re there to get a BSc, not an Oscar for ‘Best Friendship on set.’

Start studying on time
It could be pretty overwhelming when you get into school for the first time. There are lots of new places to learn about…let the library being one of
them.

Apart from registration and some periodic orientation programmes, your first few weeks will be the freest you’ll ever be in your schooling career.

Too early for trouble
There are so many things you need to prove when you get into school. That you can break the rules and get away with it is not one of them. The thing about trouble is that your record tends to stay with you and put you into more and more trouble. If you don’t know the rules and regulations of the institution you are about to enter, find out, and if you can’t take the heat, don’t take the admission. Ask any parent; it’s more honourable to have a child stay at home than to have him expelled or suspended.

Watch your pocket
Cut your cloth according to your size. Don’t spend
money because other people are doing the same. Budget properly before spending a kobo; appropriate for giving, spending and saving.

Activism with caution
Of course, you should not hesitate to fight for your rights. But be sure to do so within the rules and regulations of your institution, and without violence and threats.

This Boyfriend-Girlfriend thing
On campus, you will most likely be surrounded by more members of the opposite s*x than you have ever been in your entire life. The choice whether or not to enter a relationship as soon as you get into school is yours. But bear in mind that you should get your priorities right, right from the start.

13/09/2016

Use completing the square to solve x^2 – 4x – 8 = 0.
As noted above, this quadratic does not factor, so I can't solve the equation by factoring. And they haven't given me the quadratic in a form that is ready to square-root. But there is a way for me to manipulate the quadratic to put it into that form, and then solve. It works like this:

First, I put the loose number on the other side of the equation:

x^2 – 4x – 8 = 0
x^2 – 4x = 8

Then I look at the coefficient of the x-term, which is –4 in this case. I take half of this number (including the sign), giving me –2. Then I square this value to get +4, and add this squared value to both sides of the equation:

x^2 – 4x + 4 = 8 + 4
x^2 – 4x + 4 = 12

This process creates a quadratic that is a perfect square, and factoring gives me:

(x – 2)^2 = 12

(I know it's a "minus two" inside the parentheses because half of –4 is –2. If you note the sign when you're finding one-half of the coefficient, then you won't mess up the sign when you're converting to squared-binomial form.)

Now I can square-root both sides of the equation, simplify, and solve:

(x – 2)^2 = 12

x = 2 ± 2sqrt(3)

Then the solution is x = 2 ± 2sqrt(3)

12/09/2016

WHO DISCOVERED ELECTRICITY?
Electricity is a form of energy and it occurs in nature, so it was not “invented.” As to who discovered it, many misconceptions abound. Some give credit to Benjamin Franklin for discovering electricity, but his experiments only helped establish the connection between lightning and electricity, nothing more.

The truth about the discovery of electricity is a bit more complex than a man flying his kite. It actually goes back more than two thousand years.

In about 600 BC, the Ancient Greeks discovered that rubbing fur on amber (fossilized tree resin) caused an attraction between the two – and so what the Greeks discovered was actually static electricity. Additionally, researchers and archeologists in the 1930’s discovered pots with sheets of copper inside that they believe may have been ancient batteries meant to produce light at ancient Roman sites. Similar devices were found in archeological digs near Baghdad meaning ancient Persians may have also used an early form of batteries.

A replica and diagram of one of the ancient electric cells (batteries) found near Bagdad.
A replica and diagram of one of the ancient electric cells (batteries) found near Bagdad.
But by the 17th century, many electricity-related discoveries had been made, such as the invention of an early electrostatic generator, the differentiation between positive and negative currents, and the classification of materials as conductors or insulators.

In the year 1600, English physician William Gilbert used the Latin word “electricus” to describe the force that certain substances exert when rubbed against each other. A few years later another English scientist, Thomas Browne, wrote several books and he used the word “electricity” to describe his investigations based on Gilbert’s work.

Who Discovered Electricity
Benjamin Franklin. Image Source: Wikipedia
In 1752, Ben Franklin conducted his experiment with a kite, a key, and a storm. This simply proved that lightning and tiny electric sparks were the same thing.

Italian physicist Alessandro Volta discovered that particular chemical reactions could produce electricity, and in 1800 he constructed the voltaic pile (an early electric battery) that produced a steady electric current, and so he was the first person to create a steady flow of electrical charge. Volta also created the first transmission of electricity by linking positively-charged and negatively-charged connectors and driving an electrical charge, or voltage, through them.

In 1831 electricity became viable for use in technology when Michael Faraday created the electric dynamo (a crude power generator), which solved the problem of generating electric current in an ongoing and practical way. Faraday’s rather crude invention used a magnet that was moved inside a coil of copper wire, creating a tiny electric current that flowed through the wire. This opened the door to American Thomas Edison and British scientist Joseph Swan who each invented the incandescent filament light bulb in their respective countries in about 1878. Previously, light bulbs had been invented by others, but the incandescent bulb was the first practical bulb that would light for hours on end.

Replica of Thomas Edison's first lightbulb. Credit: National Park Service.
Replica of Thomas Edison’s first lightbulb. Credit: National Park Service.
Swan and Edison later set up a joint company to produce the first practical filament lamp, and Edison used his direct-current system (DC) to provide power to illuminate the first New York electric street lamps in September 1882.

Later in the 1800’s and early 1900’s Serbian American engineer, inventor, and all around electrical wizard Nikola Tesla became an important contributor to the birth of commercial electricity. He worked with Edison and later had many revolutionary developments in electromagnetism, and had competing patents with Marconi for the invention of radio. He is well known for his work with alternating current (AC), AC motors, and the polyphase distribution system.

Later, American inventor and industrialist George Westinghouse purchased and developed Tesla’s patented motor for generating alternating current, and the work of Westinghouse, Tesla and others gradually convinced American society that the future of electricity lay with AC rather than DC.

Others who worked to bring the use of electricity to where it is today include Scottish inventor James Watt, Andre Ampere, a French mathematician, and German mathematician and physicist George Ohm.

And so, it was not just one person who discovered electricity. While the concept of electricity was known for thousands of years, when it came time to develop it commercially and scientifically, there were several great minds working on the problem at the same time.

12/09/2016

SPACE HISTORY

On 12 April 1961, Russian cosmonaut Yuri Gagarin became the first human to travel into space when he launched into orbit on the Vostok 3KA-3 spacecraft (Vostok 1).

The United States and the Soviet Union vigorously competed to push the boundaries of mankind's exploration of space. The Russians scored a victory when they launched a small craft carrying cosmonaut Yuri Gagarin to new heights. His 108-minute flight gave him a permanent place in the history books as the first man in space.

With the 1957 launch of Sputnik 1, the world's first manmade satellite, the Russians took an early lead in the space race. The next step was to send a human off the planet.

The American plan to send a man into space by 1961 created a deadline that the Russian team worked hard to beat. The development of the Vostok spacecraft became paramount. Prior to Gagarin’s historic flight, the Soviets sent a prototype of his spaceship, along with a life-size dummy called Ivan Ivanovich and a dog called Zvezdochka. With these successes, the vessel was considered ready to take a living, breathing human into space. [INFOGRAPHIC: How the First Human Spaceflight Worked]

The right stuff

More than 200 Russian Air Force fighter pilots were selected as cosmonaut candidates. Such pilots were considered optimum because they had exposure to the forces of acceleration and the ejection process, as well as experience with high-stress situations. Among the pilots was 27-year-old Senior Lieutenant Yuri Alexeyevich Gagarin.

The third of four children, Gagarin was born on March 9, 1934, in a small village a hundred miles from Moscow. As a teenager, Gagarin witnessed a Russian Yak fighter plane make an emergency landing near his home. When offered a chance years later to join a flying club, he eagerly accepted, making his first solo flight in 1955. Only a few years later, he submitted his request to be considered as a cosmonaut.

First in (space) flight

On April 12, 1961, at 9:07 a.m. Moscow time, the Vostok 1 spacecraft blasted off from the Soviets' launch site. Because no one was certain how weightlessness would affect a pilot, the spherical capsule had little in the way of onboard controls; the work was done either automatically or from the ground. If an emergency arose, Gagarin was supposed to receive an override code that would allow him to take manual control, but Sergei Korolov, chief designer of the Soviet space program, disregarded protocol and gave it to the pilot prior to the flight.

Over the course of 108 minutes, Vostok 1 traveled around the Earth once, reaching a maximum height of 203 miles (327 kilometers). Over Africa, the engines fired to bring Gagarin back to Earth. The craft carried ten days worth of provisions in case the engines failed and Gagarin was required to wait for the orbit to naturally decay, but they were unnecessary. Gagarin re-entered Earth's atmosphere, experiencing forces up to eight times the pull of gravity, but remained consciousness.

Vostok 1 had no engines to slow its re-entry or a way to land safely. About four miles up (seven kilometers), Gagarin ejected and parachuted to Earth. In order for the mission to be counted as an official spaceflight, the Fédération Aéronautique Internationale (FAI), the governing body for aerospace records, had determined that the pilot must land with the spacecraft. Soviet leaders indicated that Gagarin had touched down with the Vostok 1, and did not reveal that he had ejected until 1971. Regardless, Gagarin still set the record as the first man to leave Earth's orbit and travel into space. [Milestones in Human Spaceflight: Pictures]

After the mission

Upon his return to Earth, Gagarin was an international hero. He was cheered in Red Square by a crowd of hundreds of thousands. A national treasure, he traveled around the world to celebrate the historical Soviet achievement.

On returning home, he became a deputy of the Supreme Soviet and was appointed Commander of the Cosmonauts' Detachment. Because Russia did not want to risk such a public figure, they were hesitant to allow him back into space. He continued to make test flights for the Air Force, however.

On March 27, 1968, Gagarin was killed in while test-piloting a MiG-15. He was survived by his wife, Valentina Ivanovna Goryacheva, and two daughters.

When Apollo 11 touched down on the moon in July 1969, the crew left behind a commemorative medallion bearing Gagarin’s name, as well as medallions for another cosmonaut and three Apollo astronauts who lost their lives in accidents.

First Americans in space

Alan Shepard flew in space on May 5, 1961, the first American to do so. He launched aboard a Mercury-Redstone 3 rocket named Freedom 7. The suborbital flight lasted 15 minutes.
Alan Shepard flew in space on May 5, 1961, the first American to do so. He launched aboard a Mercury-Redstone 3 rocket named Freedom 7. The suborbital flight lasted 15 minutes.
Credit: NASA
Alan Shepard was the first American in space and the second person in space, launching on a suborbital flight in a Mercury capsule called Freedom 7 on May 5, 1961 — just three weeks after Gagarin's flight. [Pictures of the First American in Space]

Shepard is said to have been frustrated that the United States did not win the race. The Soviet victory could have been prevented, Shepard reportedly felt, had NASA not delayed his mission multiple times for tests.

"I think he was a little bit frustrated with NASA for, in his mind, being a little bit overly cautious," according to Neal Thompson, author of "Light This Candle: The Life and Times of Alan Shepard" (Three Rivers Press, 2005). "He was a little bit pi**ed off that they delayed it so much that the Russians were able to get up there first."

John Glenn was the first American in orbit, launching in the Friendship 7 Mercury capsule on Feb. 20, 1962. Glenn orbited Earth three times during the flight, which took place 10 months after Gagarin’s mission. [Pictures of the First American in Orbit]

The first woman in space was Valentina Tereshkova, a Soviet cosmonaut who flew the Vostok 6 mission on June 16, 1963.

The first American woman in space was Sally Ride, who was a mission specialist aboard the Space Shuttle Challenger on flight STS-7 on June 18, 1983.

Photos from Success Rocket Educational Center's post 12/09/2016
17/07/2016

COMPUTER SOFTWARE TEST
1.) Data in RAM is accessed in .......... resds per second
a. 10
b. 100
c. 1,000,000
d. 1,000,000,000

2.) Electromagnetic interference can be caused by:
a. Bad phone line
b. speaker
c. Turning on a light
d. Short circuit in the monitor

3.) One gigabyte (GB) equals:
a. 100 MB
b. 10000 KB
c. 1024 KB
d. 1024 MB

17/07/2016

Choose the right option
Three month........ without the accused being traced out.
a. go by
b. go through
c. go down
d. go over

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