Compute answers using Wolfram’s breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music maximize x(1-x)e^x

甚至可以逐日借款，這樣1年的收益高於261.3%，但增大不多，而借貸者可以更快還清少付利息，e 就是設立更小還款時限增加獲利，能達到的1年極限收益，即約為 271.8%。應區分抵押貸款和高利貸。 ^ Eli Maor, e: the Story of a Number, p.156.

概要 ·

22/8/2014 · Metodo de Integración por Sustitución: ∫(1/1+e^x)dx – Duration: 9:39. Ey! Párabola 34,044 views 9:39 integral of sqrt(x+sqrt(x+sqrt(x+))), infinite nested square root – Duration: 9:36.

作者: blackpenredpen

16/4/2014 · Second Step: Set to 0 and solve for x e x = 1 My question now is how to solve for x. x = ln1? If so, where do I go from there? stapel Super Moderator Staff member Joined Feb 4, 2004 Messages 15,948 Apr 15, 2014 #2 Roadrunner2015 said: e x = 1 x = ln1? If

You may immediately recognize that this limit is #1#, since the #e^x# terms in the numerator and denominator will overpower the other terms, so as #x# approaches infinity, #(e^x+1)/(e^x+x)approxe^x/e^x=1#, but in case this isn’t enough for you we can do L#oo

How do you find the inverse of y = (e^x)/(1+2e^x)? | Socratic |

How do you find the derivative of e^(1/x) ? | Socratic |

How do you find the taylor series series for ((e^x)-1)/x at c=0? | Socratic |

How do you solve the following limit (e^x-1)/x as x approaches zero? | Socratic |

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15/10/2016 · Use the method of cylindrical shells to ﬁnd the volume generated by rotating the region bounded by the given curves about the -axis. Sketch the region and a typical shell.

作者: MSolved Tutoring

This is an exponential equation and we’ll solve it using the substitution technique. First, we’ll note that we have a negative power: e^-x = 1/e^x Now, we’ll note e^x = t We’ll re-write the

[math]\int e^x\frac{(x-1)}{x^2}\ dx[/math] [math]=\int e^x\left(\frac{1}{x}-\frac{1}{x^2}\right)\ dx[/math] [math]=\int e^x\frac{1}{x}\ dx-\int e^x \frac{1}{x^2}\ dx

What is the derivative of 1/x? |

What is the integral of 1/ (1+x^2)? |

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Extended Keyboard Upload Examples Random Compute answers using Wolfram’s breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics

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11/6/2009 · But the t=lnx function is defined by that it is the inverse of y=e^x, which is defined by that e=lim h –> h (1+h)^(1/h) so basically it is circular logic. The definitions must start somewhere. You can though find a different definition of e, and then connect these links.

Free integral calculator – solve indefinite, definite and multiple integrals with all the steps. Type in any integral to get the solution, steps and graph

19/2/2013 · Homework Statement Evalute the integral ∫ [x / 1 + x] dx Homework Equations ∫ [x / 1 + x] dx The Attempt at a Solution I forgot how to do solve this type of integral, or never had enough practice. It is a standard procedure when you have a polynomial of equal or

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As functions of a real variable, exponential functions are uniquely characterized by the fact that the growth rate of such a function (that is, its derivative) is directly proportional to the value of the function. The constant of proportionality of this relationship is the natural logarithm of the base b: d d x b x = b x

Formal definition ·

you may see this solution already f(x)=1+x+x2+x3+x4+[math]f(x)=1+x+x2+x3+x4+[/math] f(x)=1+x(1+x+x2+x3+)[math]f(x)=1+x(1+x+x2+x3+)[/math] f(x)=1+x.f(x

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Taylor’s Remainder Theorem Version 1: for a xed point x 2I and a xed N 2N. 3 There exists c between x and x 0 so that R N(x) def= f(x) P N(x) theorem= f (N+1)(c) (N + 1)! (x x 0)(N+1): (5) So either x c x 0 or x 0 c x. So we do not know exactly what c is but atleast

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Step-by-Step Solutions Step-by-step calculators for chemistry, calculus, algebra, trigonometry, equation solving, and basic math. Gain more understanding of your math homework with steps and hints guiding you from problems to answers! Wolfram|Alpha Pro step

Extended Keyboard Upload Examples Random Compute answers using Wolfram’s breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics

I made up some integrals to do for fun, and I had a real problem with this one. I’ve since found out that there’s no solution in terms of elementary functions, but when I attempt to

Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels. x^3 – 4x^2 + 6x – 24 = 0 Extended Keyboard Upload Examples Random Compute answers using Wolfram’s

30/8/2009 · lim as x–>0 for (e^(2x) -1)/x ?

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Integrals with Trigonometric Functions Z sinaxdx= 1 a cosax (63) Z sin2 axdx= x 2 sin2ax 4a (64) Z sinn axdx= 1 a cosax 2F 1 1 2; 1 n 2; 3 2;cos2 ax (65) Z sin3 axdx= 3cosax 4a + cos3ax 12a (66) Z cosaxdx= 1 a sinax (67) Z cos2 axdx= x 2 + sin2ax 4a (68) Z

f(x)=1+(x+1)e^-x : forum de maths – Forum de mathématiques Salut a Tous, J’ai un exercice a faire,cet exo etant flou pour moi vu que j’ai decroché en maths depuis l’année derniere, et que j’ai du mal avec les fonctions.mais bon j’en veux dc je cherche a

16/4/2012 · I for some reason cannot simplify this equation: (1-e^(-x))/(1-e^x) I know the answer is -e^(-x) but I don’t know how to get to that point! Please help 😀 Home Mail News Sports Finance Entertainment Lifestyle Groups Mobile More Ask Sign in Mail All Categories

Like all logarithms, the natural logarithm maps multiplication into addition: ln x y = ln x + ln y . {\displaystyle \ln xy=\ln x+\ln y.} Logarithms can be defined for any positive base other than 1, not only e. However, logarithms in other bases differ only by a constant multiplier from

Derivative: 1, x, {\displaystyle {\frac {1}{x}}}

[math]\text{Let, } I = \displaystyle\int \left(1+x-\frac{1}{x}\right) \cdot e^{x+\frac{1}{x}} \quad dx[/math] [math]= \displaystyle\int \left(1+x\left(1-\frac{1}{x^2

Expectation and Variance Mathematics A-Level revision section, including: definitions, formulas and examples. The expected value (or mean) of X, where X is a discrete random variable, is a weighted average of the possible values that X can take, each value being weighted according to the probability of that event occurring.

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17/12/2012 · 復古相機決戰︰X-Pro 1 vs OM-D E-M5 攝影除了可以是一種創作、紀錄方式，也可看成是一個幫大家放慢腳步細味生活的理由。尤其是大城市生活節奏急促

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The best way to check our work here might be to choose some simple values for x and evaluate both sides of the original equation using a calculator. ex + −e x 4. = y. ex − e−x We start by applying the hint, letting u = ex. ex + e−x ex − e−x = y ex + 1 ex 1e = y x

For example, f (x) = e −1/x 2 can be written as a Laurent series. Generalization There is, however, a generalization of the Taylor series that does converge to the value of the function itself for any bounded continuous function on (0,∞), using the calculus of .

Definition ·

What is the expectation: E[(2X + 3)^2 ], given E[X] = 1? Ask Question Asked 4 years, 9 months ago Active 4 years, 9 months ago Viewed 17k times 4 $\begingroup$ I’m taking an upper level Economics class and one of my assignments asks the question in the

3/10/2010 · y – e = e(x – 1) y – e = ex – e y = ex —–eqn of tangent when it crosses y- axis, its x-coordinate is zero y = 0 so tangent passes through origin 0 0 0 Login to reply the answers Post Still have questions? Get your answers by asking now. Ask Question + 100 Join

Free Taylor/Maclaurin Series calculator – Find the Taylor/Maclaurin series representation of functions step-by-step

10/2/2015 · hi, This is an old thread.. So if u’d like me to post it elsewhere, do let me know.. I need to calculate the theta using inverse-tan. But since micro-controllers do not provide much computational freedom, I was looking to solve it as the integral of 1/(1+x^2). Other than

Math2.org Math Tables: Derivative of e^x ()

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Get the answer to (x-1)(x-4)>0 with the Cymath math problem solver – a free math equation solver and math solving app for calculus and algebra. Choose Topic

1. Proof Since we know the derivative: e x = e x, we can use the Fundamental Theorem of calculus: e x dx = (e x) dx = e x + C Q.E.D. See also the proof that e x = e x.PROOF

Definition of Hyperbolic Functions