the Differential Equation y'=sqrt(x+y) 10:35 【竞赛】微分方程 Solving The Differential Equation y'=e^{x-y} 08:16 【竞赛】微分方程 Solving the Differential Equation y''=(y')^2 09:20 【竞赛】微分方程 Solving dydx=(x-y)(x+y) 09:35 【竞赛】微分方程 Solving an Integral Equation 1 ...
Find the terms in the Maclaurin series for the function f(x) = e^{-x} ,as far as the term in x^3. Find the Maclaurin series for the function f(x) = \arctan (3x^2). Find the Maclaurin series of the function f(x) = cos...
To find the sum of the series: {eq}\sum_{n=1}^{\infty}n^3e^{-n^4}\\ {/eq} converting in the definite integral form, to find the sum, we get: {eq... Learn more about this topic: Using Sigma Notation for the Sum of a Series ...
Sum of a Series: In the given problem, we will use the comparison test and p-test, to check the convergence or the divergence of the series. The series is converging, we can also apply the ratio test or the integral test. Answer and Explanation:1 {eq}\sum_{k=1}^\infty \frac{k}...
Hence,themean percentage of eachstudent in the class is 83%. Mean for Grouped Data For grouped data, we can find the mean using either of the following formulas. Direct method: \(\begin{array}{l}Mean, \overline{x}=\frac{\sum_{i=1}^{n}f_ix_i}{\sum_{i=1}^{n}f_i}\end{arr...
The first part of the fundamental theorem states that if you are evaluating indefinite integrals between two points, all you have to do is subtract the value of the integral at the first point from the value of the integral at the second point. If it sounds complicated, it’s actually a ...
students to participate actively in after class activities. Every student should engage in some after class activities because we can learn many valuable things that we won’t learn in classrooms from those after class activities . First of all , after class activities are an integral part o[...
aThey use an inverse technique with Fourier series similar to Forbes and Crozier (2002) but incorporate the time harmonic Green’s function in obtaining an expression for the magnetic field rather than using the Biot–Savart law. Again this leads to a highly ill-conditioned integral equation ...
Using the partial sum, check the convergence of the series. 59 13 32.92 + 72.112 + 112.152 Q6(b) Find the sum of the infinite series, 2-3 15 11 15' 31-2 nes Σ Ž 6.)" Q7 Using the Integral Test, check the convergence of the...
Find the partial sum {eq}S_{10} {/eq} of the series {eq}\sum_{n = 1}^{\infty}\frac{1}{{n}^{4}} {/eq} and estimate the error in using this partial sum as an approximation to the sum of the series. Int...