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Factor s^3-1. s3 − 1 s 3 - 1. Rewrite 1 1 as 13 1 3. s3 − 13 s 3 - 1 3. Since both terms are perfect cubes, factor using the difference of cubes formula, a3 −b3 = (a−b)(a2 + ab+b2) a 3 - b 3 = ( a - b) ( a 2 + a b + b 2) where a = s a = s and b = 1 b = 1. (s−1)(s2 +s⋅1+12) ( s - 1) ( s 2 + s ⋅ 1 + 1 2) Simplify. Tap for more steps...
-x+3\gt 2x+1 ; line\:(1,\:2),\:(3,\:1) f(x)=x^3 ; prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) \frac{d}{dx}(\frac{3x+9}{2-x}) (\sin^2(\theta))' \sin(120) \lim _{x\to 0}(x\ln (x)) \int e^x\cos (x)dx \int_{0}^{\pi}\sin(x)dx \sum_{n=0}^{\infty}\frac{3}{2^n} Show More
$$\frac{(s+1)^3}{s^4} = \frac 1s + \frac 3{s^2} + \frac 3{s^3} + \frac 1{s^4}$$ and the inverse Laplace transform of each of those terms should be standard to you. After you've found it, it may be possible to simplify the answer!
Jul 25, 2017 · note that. (x +a)3 = x3 + (a + a + a)x2 + (a.a + a.a + a.a)x +a3. (x −1)3 → a = −1. ⇒ (x − 1)3 = x3 +( −1 − 1 − 1)x2 + (1 +1 + 1)x +( −1)3. = x3 −3x2 +3x − 1. Answer link.
What is Simpson's Rule? Simpson's rule is used to find the estimated value of a definite integral (that is of the form b ∫ₐ f (x) dx) by approximating the area under the graph of the function f (x).
Dec 30, 2022 · F(s) = L(f) = ∫∞ 0e − stf(t)dt. We’ll also say that f is an inverse Laplace Transform of F, and write. f = L − 1(F). To solve differential equations with the Laplace transform, we must be able to obtain f from its transform F.
The first terms of the series sum to approximately , where is the natural logarithm and is the Euler–Mascheroni constant. Because the logarithm has arbitrarily large values, the harmonic series does not have a finite limit: it is a divergent series.
