Anti Derivative

Anti Derivative The method of finding the Antiderivative of a function is also known as the method of Integration. There are two types of antiderivatives, one being the indefinite integrals where the constant c is includedin the answer of the function. The other type of antiderivatives is the definite integrals where the constant c is not included and the final solution of the antiderivative is computed by substitution of numbers. Example 1: Find the anti-derivative of the function, f(x) = 8x3- 10x + 9 The Power Rule of Integration says that (x) n dx = x (n+1)/ (n+1) + c where c is a constant Using the above formula we get, f(x) dx = 8 * x3+1/ (3+1) 10 * x1+1/ (1+1) + 9x + c f(x) dx = 8 * x4/ 4 10 * x2/ (2) + 9x + c f(x) dx = 2x4 5x2 + 9x + c Example 2: Find the antiderivative of the definite integral value of the function, f(x) = 3x2 + 2x and x ranging from 0 to 2. xn dx= x(n+1)/ (n+1) Apply the above formula for the given function, we get (fx) dx = 3* x2+1/(2 + 1) + 2*x1+1/(1 + 1) f(x)dx = x3 + x2 First substitute x =0 and x= 2 in the above answer. When x=0, f(x) dx= 03 +02= 0 When x=2, f(x)dx= 23 + 22 = 12 Now subtract 12 - 0 = 12 Hence the antiderivative of given f(x) is 12.

How do I know if Im ready to retire - Introvert Whisperer

Introvert Whisperer / How do I know if I’m ready to retire - Introvert Whisperer How do I know if I’m ready to retire? This question isnt really about the financial aspects as much as its about the emotional or personal side of this equation. Its not the side that gets talked about too much, but retirement is much more than a question of money. Clearly, you need to ensure you do have a financial plan for the day you decide to take the retirement plunge. Assuming you have some idea of the financial situation in your life, lets look at the other, more personal side. The quick answer to the question is: Not if you dont have a plan for the personal side of your life. Many people mistakenly think that the day of not working will be a glorious day. Whats not to like about not working? Actually, plenty. Up to this point in your life, your work has been the one, if not the primary source, of meaning and purpose. If you unplug from something that vital in your life, you have virtually unplugged yourself from life support. Im not saying you have to keep working, but I am saying that you can only play so much golf and watch just so much daytime TV before you start feeling totally worthless about yourself. There is not one aspect of your life that is not impacted or affected by retirement. Its a huge social impact as it will impact your relationships with friends from work and probably your spouse or significant other, family and other non work friends. It impacts how you define yourself and how you find meaning. It means that you need to find something to spark your interest and imagination. You may expand doing some of the things you only got to do periodically when you worked. You will also find new things to do (hopefully). Your financial situation may be such that you need to continue to bring in some income for a while, so what might that work be? Even if the finances arent an issue, you may decide to work but in a different setting. Many people heading into retirement think about moving to be closer to family or in a geography that better suits them. Then theres the issue of your health and fitness. You might have ignored that while working, but your excuse will be going away. Y ou have to work at staying healthy as you age. Are you getting the drift yet? There are a lot of things to think about. There are things you need to spend time thinking and planning for. This isnt a 2 week vacation. This is probably 30 years (give or take a bit). 30 years of your life is well worth the effort. If youre sitting there doing a self assessment and youve come to the conclusion that all your ducks are in order both financially and in your personal life, then the answer is: dont wait. This will be the first time in your life that you have the freedom to really choose what kind of life you really want to have. So, dont delay, your life is waiting for you. Let me emphasize that Self-Promotion doesn’t have to be obnoxious to be effective. But, if you don’t Self-Promote you, who will? If you ever want to get ahead, you have to learn how to Self-Promote. I want to help you accelerate your career by connecting you with your Free Instant Access to my video that shows you simple, yet effective ways to Self-Promote. Start watching now: CLICK HERE Brought to you by Dorothy Tannahill-Moran â€" dedicated to unleash your professional potential.

How to Use Fun, Creative Songs to Teach Spanish to Kids

How to Use Fun, Creative Songs to Teach Spanish to Kids Suzy S. Experts say kids should begin learning other languages at a young age â€" the younger the better. And with over 37 million Spanish-speaking residents in the U.S., making it the second most common language after English, learning Spanish is a great choice!  But how can you make Spanish lessons for kids fun? Singing with your children is a great way to introduce Spanish lessons for kids! Start with the ABCs. Spanish lessons for kids should always start with the ABCs. This  Spanish alphabet song above, recorded by a mother and her young daughter, resembles the English ABC song and features pronunciation help with each letter. Learn the song, then cement the idea with the help of this  short video  by Clever Little Peas. Learn your numbers. Start simply  with this straightforward song above, introducing the numbers 1-20 to the familiar tune of  Twinkle, Twinkle, Little Star.  Rock out  and push it to 50, then  get groovy  after Spanish language skills progress. Color their world. Teach kids their colors in Spanish the help of this simple, catchy little English/Spanish  color tune. If your younger children haven’t learned colors yet, this  short tutorial and song  is a perfect start. Perfect personal pronouns. This fun little  finger puppet presentation  helps introduce the concept of personal pronouns to children. Sing it in Spanish just for fun. There are a variety of familiar songs translated into Spanish that will aid in both the education and enjoyment of your children, such as these renditions: Head, Shoulders, Knees and Toes 5  Little Monkeys The  Itsy  Bitsy Spider Integrate it into all aspects of their daily lives. There are also a variety of televisions shows aimed at educating and entertaining your child in other cultures and languages. Shows such as Disney’s  Handy Manny,  Nickelodeon’s  Dora the Explorer  and  Go Diego Go,  and PBS’s  Oh Noah!  and  Maya and Miguel  feature both Spanish and English  dialogue  interspersed with music to help  immerse your child in the concept of multilingual environments. How young is too young? Children can discriminate between two different languages at as early as 4-6 months, however the ability to detect differences fades around 10-12 months without the introduction of a second language. Your window of opportunity has not closed, however. Research indicates preschool-aged children are still far more adept at learning a foreign language than older children and adults. They develop a second language in the same area of the brain as their native tongue, versus older learners who develop and store it in a completely different region. Spanish lessons for kids offer an array of benefits beyond communication: Learning another language is fun! A second language helps  widen the world of your child, introducing them to and offering them opportunities with other cultures, at home and abroad. Foreign language study improves reading and communication skills, boosting SAT scores. Bilingual children and adults are better at staying focused, problem-solving, and recognizing and acting on new inputs, making school and business life easier. Simply thinking in another language has been shown to help people make quicker, better decisions. Speaking a foreign language presents better educational and career prospects, as well as the opportunity for a higher standard of living. Learning foreign languages even prevents dementia later in life. Need help with the next step? Whether you’re a monolingual parent unsure how to progress past basic Spanish lessons for kids, or a multilingual parent looking for the most effective foreign language teaching methods available, a great tutor can help get you  there. Ready to broaden your child’s horizons with Spanish lessons for kids? Find a tutor in your area today! Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher Photo by  reynermedia

LOI Student and Teacher Meet Face to Face

LOI Student and Teacher Meet Face to Face Adriana and Hugo in a Miami restaurant.Hugo, a longtime LOI English student, and Adriana, one of our great teachers, recently had the chance to meet in person. Ironically, both Hugo and Adriana are Brazilian, but when they met they were both traveling in the United States. After taking many  classes with Adriana, Hugo mentioned hed be traveling in the U.S. and Adriana said shed be there around the same time. After Hugo had purchased his flights he  and Adriana realized their trip would cross in Miami Beach, so they decided to meet up. They walked along Lincoln Road and took in the tourist attractions and went to dinner with Adrianas family. They had plenty of opportunities to speak in English and Portuguese. So two Brazilians who live only about 300 miles from each other in Brazil met  face to face thousands of miles away from São Paulo.When Hugo  began learning English with LOI he was frustrated by the methods he had tried and wasnt really looking forward to the classes. After he s tarted, he realized classes with LOI English are different.LOI English is more than an English school, and that is why we are so unique. Our teachers and students make lasting connections. While you improve your English, you meet English teachers that live all over the world.  Our teachers love languages, teaching, traveling and connecting with students from around the world.    Weve taught students from 138 different countries so far!  Our classes investigate topics that are meaningful to the students and teachers. In our English classes we form  international relations, solve world problems, debate controversial topics, explore new ideas about science and technology, as well as study grammar, practice listening, perfect pronunciation, and work on writing. When you take our English classes you get so much more than just improving your English, you make connections and you expand your world.Read more about Adriana here.

Directions in English - Videos, Exercises and a Woman Who is Always Lost

Directions in English - Videos, Exercises and a Woman Who is Always Lost Learning how to ask for and understand directions in English is probably one of the most important things you need to learn if youre traveling to an English speaking country. Most likely, you will be in a place you are unfamiliar with, but if you havent practiced or studied how to ask for and understand directions in English, your best resource, other people, will not be available to you.The videos below will help you to understand how we give directions in English, and how to ask for them. Weve also got a link to a very interesting video from the New York Times about a woman who has lost the ability to know where she is. She is literally lost all the time.Directions in English VideoExercise: Give directions using the map below. Write your answers in comments and well reply.Monica is at the corner of Columbia Avenue and Second Street. She needs to get to the post office to mail her friends postcards. Find the post office building and give her directions to get there.You are on Obrie n and 1st street. Ask directions to 3 different locations. Ask in 3 different manners:Example. Excuse me, do you know how to get to, Pardon, can you give me directions to,No Sense of DirectionClick this link to watch a video about a woman who has lost her sense of direction, then complete the exercises.Direction Exercises:1. I’m _____ _______.2. How old was she the first time she got lost?3. Its almost as if someone _____ __ the entire world turns it and sets it ____ ____.4. ____ to the _____.5. How did she find her way to school?6. Why did she have problems learning?7. Where does she live? Why is this significant with her disorder?8. What were the scariest moments for her regarding her problem with direction?9. How did she discover the disorder?We also offer a full lesson on this topic with our native English speaking teachers in one-on-one classes. Register for a free class! Nelly 1. I’m going straight .2. How old was she the first time she got lost? She was 5 years old when she got lost for the first time.3. Its almost as if someone picks_up the entire world turns it and sets it back down4. sraight to the right.5. How did she find her way to school? She was just following her sister or friends as if she knew that they were going to school6. Why did she have problems learning? Because it was too hard for her to concentrate in and paying attention to the teacher, she feels like she was going to absorb the walls.7. Where does she live? Why is this significant with her disorder? She lives in Denvark, west side of the town.8. What were the scariest moments for her regarding her problem with direction? The scarriest moments were if her children cried or they shout out , she only could jump out from the bed because she could not know where their bedrooms were, in this case she only could follow the noise of crying and get to their bedroom to comfort them.9. How did she discover the disorder? Several years later she was watching the TV program and she discovered that she had some problem with navigation. LOIEnglish Nelly, Thanks for answering again. A few small mistakes: Number 5: You need the past tense: followed.Number 6: concentrate ONNumber 7: Denver and the mountains are on the West side of the city. This helps her know when she has gotten lost.Number 8: shoutED out (past simple); she could ONLY jump out OF bed Nelly Neko thank you :))) LOIEnglish Thaigoyou did really well however, you didnt use prepositions: On-streets Head straight ON Columbia Avenue and turn left ON 4th street and CONTINUE until YOU cross Baker Avenue then stop AT the first house ON your left.

10 Educational and fun rainy day activities for children

10 Educational and fun rainy day activities for children We are never really short of rain here in the UK and with rain comes some tough boredom from our children. There's nothing to do today, mum!! or I'm soooo bored! in the whiniest voices, are words that we all frequently hear when children are stuck indoors. Then there is the constant sibling bickering because they can't think of anything better to do; MUM!! She won't give me my phone back!, MUM!! He broke my favourite bracelet that Lilly got me!, DAD!! Where's MUM?!. So, we have come up with some great educational things to do on those frequent rainy days that are fun and packed full of learning opportunities. 1. Teach a new skill This could be anything from sewing on their scout badges themselves or learning to knit to learning sign language together. Learning a new skill will spark their imaginations and inspire them to want to learn, whilst keeping their boredom at bay. 2. Cinema Afternoon Films and documentaries can teach us a host of things from learning about different character traits, how to deal with problems and different views and opinions, so what better way to spend the perfect rainy afternoon than snuggled under blankets together. Take the time to discuss with your child what they thought of the film and what they particularly liked; this will help them retain information. 3. Play Geography games As ridiculous as it sounds learning geography really can be fun. A globe can be turned into a fun game of find the capital/country and point it out (you can later add a timer to make it more challenging). Drawing flags together and learning about capital cities whilst exploring an atlas can be both fun and extremely educational. 4. Practice science experiments There is nothing like a good science experiment to make staying indoors fun and with the internet you can find hundreds of fun experiments to try at home with your child. Talk about what your child would like to learn about and make sure they are involved all the way through, from finding the experiment and getting the equipment ready to talking about what happened and recording the results in a scrapbook. 5. Make and bake in the kitchen Children love cooking and getting their hands dirty so preparing some cookies or cupcakes together makes for another great rainy day activity. And baking is not just about fun your child, it will build their practical skills by allowing them to measure the ingredients, follow recipes, and create their own unique decorating styles. Then you can have a taster tea party and enjoy the fruits of your labour. 6. Read together Whether it be choosing books to read together or making up fairy-tales, reading can be a great way of spending some quality time together. Take turns in reading pages, read using different voices or change the character traits to make them funny or different; time will fly. 7. Arts and crafts There are so many arts and crafts for children to do using household recyclable items. You can teach your child about the environment and the different ways we can help to preserve it. Draw or paint pictures, sand art, make a calendar or star chart, build a rocket, play with play doh, the list is endless. 8. Educational board games There are hundreds of great board games that are fun to play and with a little imagination most can be turned into something educational too. Anything from word games to help boost their vocabulary or building games to build up their coordination skills. 9. Go over any school-work your child may be struggling with Now this may not sound as fun as playing games or baking cookies but if your child is struggling with a particular subject at school or having trouble keeping up in class then a rainy day at home poses the prefect opportunity for a little extra help. Take the time to go over any issues slowly and patiently and try incorporating a game to make it a little more fun. If your child is struggling at school then a private home tutor would hugely benefit them. 10. Build an indoor den Children love nothing more than having their own personal space and a den is a fantastic way for them to build up their imagination and sharpen their thinking skills. Let them decide what they could use to build an indoor den whether it be blankets, sheets, chairs or mattresses!

TutorNerds Private Orange County Tutors in the Press

TutorNerds Private Orange County Tutors in the Press Our Private Orange County Tutors Share Their Expertise via Guest Posts Here at TutorNerds, we believe that every student and parent should have access to quality education information and tips. Thats why, in addition to our blog, we encourage our experienced tutors to write for outside publications. As you know, our private Orange County tutors (we also have tutors in San Diego and Los Angeles) are full of useful information that can help students succeed in and out of the classroom. Our tutors love to help out parents as well, offering tips on how they can help their kids stay focused and get ahead on their studies. From test prep to study tips, our tutors have years of experience in how to do well in school and beyond. Today, we are going to share a few guest articles from our Orange County English tutor Robyn Scott, who has written for many websites, including USA Today and College Recruiter. As an Orange County tutor and educator, Robyn has a tremendous amount of knowledge and insights to share when it comes to doing well in school. Robyn also contributes many of the posts on our blog, which we encourage our patrons to use as a supplemental resource for their Orange County tutoring sessions. Want to know when TutorNerds publishes a new blog post or is featured in an outside publication? Follow us TutorNerds on Twitter! 5 Things Every Parent Should tell Their Kid’s Tutor Over The Summer (OC Mom Blog) Photo via OC Mom Blog In this article, Robyn focuses on how parents can make the most of summer tutoring for their kids. From goals to organizational issues, summer is the perfect time to communicate with your tutor. How College Students Can Stay Sharp Over Summer Break (CollegeXpress) Photo via CollegeXpress College is hard, which is why students use the summer break to relax and enjoy time off of studying and doing homework. College students should enjoy their time off, but they should also focus on staying sharp. Robyn offers a few tips on how they can have fun and stay sharp over summer break. Voices: Remote educational technologies open doors across the globe (USA Today) Students and teachers have so many options these days when it comes to receiving or offering supplemental education services. They used to be limited to speaking in person or, perhaps, talking on the phone and sending the occasional e-mail that may sit in an inbox for several days. As you see, our experienced Orange County tutors have a lot of valuable knowledge to share. Sign up for your tutor today! All blog entries, with the exception of guest bloggers, are written by Tutor Nerds. Are you an education professional? If so, email us at pr@tutornerds.com for guest blogging and collaborations. We want to make this the best free education resource in SoCal, so feel free to suggest what you would like to see us write.