Let f(x)=∑n=0∞(−1)nx2n(2n)!. Show that f″(x)+f(x)=0. Consider the even indexing on the power of x when differentiating. Power series: Power series expansion is an interesting concept and a very useful one to make d...
Power and status are two critical elements of social hierarchy. However, whether power and status have similar effects on unethical behavior has received inconsistent results. We constructed a theoretical model of power, status, and unethical behavior to address this issue by integrating the approach-...
Similarly, using the power series for g(x)=11+xg(x)=11+x, we can integrate term-by-term to find the power series for G(x)=ln(1+x)G(x)=ln(1+x), an antiderivative of g. We show how to do this in the next two examples. First, we state Term-by-Term Differentiation and ...
To find the derivative off(x)=exx+xex+e−x2⋅lnx, we will use the quotient rule, the product rule and the chain... Learn more about this topic: Applying the Rules of Differentiation to Calculate Derivatives from Chapter 8/ Lesson 13 ...
This gap is around 20 percent on average in high adopter countries, suggesting that digital exclusion due to demand shortage is still an important policy issue even in these economies. In contrast, the gap in laggard adopter countries is roughly quadruple that of the high adopter countries, ...
1 Nanom6A pipeline for identification of m6A at single-base resolution. For the XGBoost-training module, the raw sequence with or without m6A modification was resquiggled. After the corrected sequence was assigned to the raw signal using Tombo, we extracted the signals of separate bases according...
Second, we sought to differentiate between the effects of improvisational and non-improvisational music training in resting state functional connectivity. While there are improvisational components in many genres of music training, contemporary common-practice jazz music training places special emphasis on ...
If you want to run the comparison test of the propagation functions, you need to install Diffractio - The version of Diffractio used in this project is v0.1.1. 🤖🔎 Discovery of new optical setups: With XLuminA we were able to rediscover three foundational optics experiments. In particu...
to yeasts from pressed berry juice or via extraction from the skins, in the case of fermenting red wines. The assimilable nitrogen levels in grapes must also play a role in determining the duration of fermentation, and musts are often amended with ammonium salts (DAP) to ensure efficient ...
Answer to: Find \displaystyle \frac{dy}{dx} by differentiating implicitly. When applicable, express the result in terms of x and y. 8x+7y=2 By...