In cases including changes in magnitude or direction being significant, we calculate work using calculus. Force may change in magnitude and direction for some finite displacement but over a smaller displacement, it changes less and thus we approach an infinitesimally small size. While we are at it...
For two protons, we can derive the work formula to pushing two protons next to each other. Given the Coulomb’s Law of (kq1q2)/(r2), where k is the proportionality constant equaling to 9e9 Nm2C-2, the equation is formed as: Anintuitive shortcutcould have been made that skips the ...
We cannot apply the formula F=ρAsF=ρAs directly, because the depth varies from point to point on a vertically oriented surface. So, as we have done many times before, we form a partition, a Riemann sum, and, ultimately, a definite integral to calculate the force....
Work Done Formula, Calculation & Examples from Chapter 7/ Lesson 9 35K Learn the work done formula and understand the application of work integral in the work done formula with examples problems using calculus. Related to this Question ...
Photo: My newer Casio Calculator, an fx-991ES, has a much larger "natural display" that can show entire equations and even perform calculus! The larger dark gray keys at the bottom are the numbers and the main "operators" (+, −, ×, ÷, = etc). The lighter gray keys above them...
I'm currently an engineer, re-taking Calculus, and her method of teaching is amazing! With her slow, methodical instruction method, and the ability to freeze a video to see each step along the way, Jenn's service is the type of instruction I *should* have gotten 20 years ago!
The learner will be able to understand and apply the subject without the distractions that come from having to worry about remembering formulae. Remedial Calculus is a great complement to a standard textbook and builds upon its content, efficiently reinforcing the students' learning without them ...
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aphysical system, or from a variational calculus approach[translate] aHaving established the integrity of the low level formulae and code within a model, a high level review can take place. The high level review takes place to check aspects of the overall integrity of the model that may have...
Calculus Colorized math topics (Euler’s formula, Pythagorean theorem, etc.) Articles and cheat sheets (Brevity is beautiful, intuitive learning, etc.) Founded by Kalid Azad, the platform aims to make learning math more accessible by emphasizing clarity and memorable insights. Azad, a Princeton gr...