sixteen hundred sixty-five‚ Newton received his degree‚ and continued researching mathematical theories like generalized binomial theorem. Newton spent all his private time in developing his theories on calculus‚ optics‚ and the law of gravitation. In Isaac’s early twenties‚ he had invented calculus‚ which is about the same time Gottfried Leibniz also did‚ independently. This branch of mathematics‚ Newton discovered‚ could be used to find the answers to such problems as finding the speed of a
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Cheat Sheets & Tables Downloads Chapters Calculus II Home Integration Techniques Applications of Integrals Parametric Equations and Polar Coordinates Series & Sequences Vectors 3-Dimensional Space Misc Contact Me Downloads FAQ About OpenStudy Links My Students Site Map Terms of Use Online Notes / Calculus II (Notes) / Integration Techniques / Integration by Parts
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Like most discoveries‚ calculus was the culmination of centuries of work rather than an instant epiphany. Mathematicians all over the world contributed to its development‚ but the two most recognized discoverers of calculus are Isaac Newton and Gottfried Wilhelm Leibniz. Although the credit is currently given to both men‚ there was a time when the debate over which of them truly deserved the recognition was both heated and widespread. Evidence also shows that Newton was the first to establish
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I still remember the sinking feeling in my stomach just last May when I received my final grade in Pre-Calculus. After months of extra study sessions‚ meeting with tutors‚ seeking help from my classmates and teacher‚ I had earned an F for the year. I had never seen that letter on my report card before. I had poured sweat and tears into trying to grasp the material‚ and had come up short. To say that I was devastated was an understatement. How would this grade impact my future? Would I be able
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Engineering‚ Architecture‚ Fine Arts and Computing Sciences ECE / ICE / MexE Department ECE 352 VECTOR ANALYSIS DEL OPERATOR GROUP 3 Andaya‚ Rizalyn Ramos‚ Maria Issa P. ∇ Del is a symbol used in mathematics‚ in particular‚ in vector calculus‚ as a vector differential operator‚ usually represented by the nabla symbol ∇. Del may denote the gradient (locally steepest slope)‚ the divergence of a vector field‚ or the curl (rotation) of a vector field. The symbol ∇ can be interpreted as a
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QUESTION BANK – LIGHT 01. How do we see the things in light? 02. Write the different properties of light? 03. What are the different optical phenomena that takes place due to light? 04. Deflection of light? 05. State laws of reflection of light? 06. What are the properties of the image formed by a plane mirror? 07. What are the two types of spherical mirrors? 08. What is a concave mirror and convex mirror? 09. Define the following of a spherical mirror?
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Problems and Solutions in Elementary Physics by C. Bond The following sections include solutions to a number of my favorite problems in elementary physics. Some of the solutions bear aspects resembling that of a magician pulling a rabbit out of a hat. Others simply demonstrate the remarkable power of a few seminal concepts to reveal the inner workings of the real world. Most of the problems yield to solution strategies other than the ones shown‚ but these represent my own preference. At some point
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1. Explain the steps in the following statement. Statement | Jill Roger borrowed $16‚000 to buy a new boat. Assuming an interest charge of $2‚900 what will be her monthly payment if she takes 30 months to repay the loan (+interest). Assume the loan is repaid in equal payments. Jill has a monthly salary of $900. | | What will be (calculate) her monthly payment if she takes 30 months to repay the loan (+interest). | | Determine a total debt ( loan + interest) and (divided by total months to
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accused of cheating in the AP Calculus exam because they all had the exact grade & missed the same questions by making the same mistake. According to the Registry the film was “ one of the most popular of a new wave of narrative feature films produced in the 1980s by Latino filmmakers" & "celebrates in a direct‚ approachable‚ and impactful way‚ values of self-betterment through hard work and power through knowledge." Not any student that wanted to learn AP Calculus could get in the class‚ Kemo
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Over the past few years‚ environmental issues have become increasingly more important‚ not only as an ecological concern lead by activists but as an economic matter lead by business savvy individuals. For many corporations the green movement can translate directly into increased efficiency and therefore increased profits. Flextronics for example has found a way to refurbish their own products‚ Motorolla cell phones‚ to optimize resource use and profits. This comes after the realization that their
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