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27 articles trouvés pour ce sujet.
ln(x+3)+ln(x+2)=ln(x+11) 1999-11-24
Thibault Portevin pose la question :
"Résolvez l'équation : ln(x+3)+ln(x+2)=ln(x+11)" Je suis bloqué, pourriez-vous m'aider?
Claude Tardif lui répond.
logarithme neperien 1999-11-10
Louise Kieffer pose la question :
D'où provient la valeur e ( 2,7....) des logarithmes népériens ?
Claude Tardif lui répond.
y=lnx+(1+ln2)/2 and y=x^2 2019-01-28
Mike pose la question :
Prove that y=lnx+(1+ln2)/2 and y=x^2 touch each other.

The course is about logarithm and root functions... how should I solve this problem?

Penny Nom lui répond.
Three consecutive natural numbers 2017-06-11
Anita pose la question :
Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the square of the other two by 60. Find the numbers.
Penny Nom lui répond.
Differentiate ln[x(2x-4)^1/2] 2014-06-28
Igwe pose la question :
If y=In[x(2x-4)^1/2],find dy/dx at x=3
Penny Nom lui répond.
ln(12 x) = 6 2011-03-03
Carolyn pose la question :
solve the equation

ln12x = 6

Thank you


Penny Nom lui répond.
A Taylor polynomial for (lnx)/x 2010-09-29
Dave pose la question :
I have a series problem that I cannot solve. The problem asks for you to compute a Taylor polynomial Tn(x) for f(x) = (lnx)/x. I calculated this poly out to T5(x) and attempted to use this to identify a pattern and create a series in order to calculate Tn(x). However, the coefficients on the numerator out to F5prime(x) are as follows: 1, -3, 11, -50, 274... Ok, so the negative is an easy fix -> (-1)^n-1. But the other coefficients are stumping me. I can't see any sort of pattern there and I've tried every trick I know. Is there another way to go about this? Thanks!
Chris Fisher lui répond.
1/a + 1/b + 1/c < 1 2010-02-01
Mrityun pose la question :
suppose a,b and c are natural numbers such that 1/a + 1/b + 1/c < 1. Prove that

1/a + 1/b + 1/c < = 41/42.

Penny Nom and Claude Tardif lui répond.
Properties of Natural Numbers 2009-07-24
nazrul pose la question :
If m,n,k are natural number how can I prove that (m+n)k=mk+nk. In the proof the properties of natural number should be used.
Janice Cotcher lui répond.
Solve e^x + e^(x+1) = 250 2008-08-25
Laura pose la question :
"solve this equation correct to three decimals"
e^x + e^x+1= 250

Penny Nom lui répond.
Solving with the Natural Log 2008-07-28
CB pose la question :
I am trying to solve lnx +3ln2 = ln 2/x. Every way I've tried when I go to plug in the solution it doesn't come out right.
Penny Nom lui répond.
0 = (1/t) - [ln(1+r) ln(t)] 2007-10-18
Brandi pose la question :
Objective: solve for t, where r = 0.05

0 = (1/t) - [ln(1+r) ln(t)]

Penny Nom lui répond.
x= (y/z)ln((1+a^2)/(1-a^2)) 2007-09-26
John pose la question :
If x= (y/z)ln((1+a^2)/(1-a^2)) Please solve for 'a' Thanks in advance!
Penny Nom lui répond.
Logarithmic differentiation 2005-05-23
Richard pose la question :
I need to convince myself that I understand the process of differentiating y=xx.
The specific question is that if I have to take the logarithm of both sides of the equation how can differentiate the following?
y= {(x+2)(x+2)}/{(x+1)(x+1)} - {(x+1)(x+1)}/(xx),
I have an idea that the differential of this fairly complex function is itself ... am I right or wrong.

Penny Nom lui répond.
arcsech x 2005-02-10
Monica pose la question :
Prove that arcsech x = ln[(1 + (1-x2)(1/2)) / x ]
Penny Nom lui répond.
39 consecutive natural numbers 2003-08-19
A student pose la question :
Prove that among any 39 consecutive natural numbers it is always possible to find one whose sum of digits is divisible by 11.
Penny Nom lui répond.
Natural logarithms 2003-07-22
Amanda pose la question :
I'm going into my senior year of high school. I will be taking AP calculus, and my teacher gave us some homework over the summer. However, there are two things that I do not understand how to do. The first is, she wants us to be able to generate a unit circle by hand using 30, 60 and 90 degree triangles. I have used the unit circle in trigonometry, however I was never taught how to draw it. Secondly, I need to know how to do natural logarithms without a calculator. I was not taught how to do this, and the worksheet I was given only showed me how to complete them using a calculator.
Claude Tardif lui répond.
R= 5.3lnx + x. 2003-05-11
A student pose la question :
Reaction R to a dose x is given by: R= 5.3lnx + x. For a certain drug, R must not exceed 21. Show that a dose between 8 and 12 units satisfies this requirement & find, correct to 5 decimal places, the greates value of x which satisfies this condition?
Harley Weston lui répond.
Subsets of the natural numbers 2001-01-30
Christina pose la question :
How do I explain why the set of natural numbers (N) cannot be equivalent to one of its finite subsets?
Penny Nom lui répond.
LOG(LN(x)) = 1 2000-07-28
An algebra student pose la question :
LET F(x)=LOG X AND G(x)= LN X. SOLVE (f *G)(x)= 1

Harley Weston lui répond.
Radioactive decay 2000-05-18
Catherine Sullivan pose la question :
Please help me with the following: The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the organism dies, after which it decays to carbon-12 at a rate proportional to the amount of C-14 present, with a half life of 5730 years. Suppose C(t) is the amount of C-14 at time t.
  1. Find the value of the constant k in the differential equation: C'=-kC
  2. In 1988 3 teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained 91% of the amount of C-14 contained in freshly made cloth of the same material. How old is the Shroud according to the data?

Harley Weston lui répond.
Two calculus problems 2000-05-01
Kaushal Shah pose la question :
How Do WE Integrate the following Functions,
  1. Integral xtanx dx
  2. How was natural base "e" discovered and why e=2.7.......

Claude Tardif lui répond.
Natural numbers 2000-04-12
Sara pose la question :
What is a natural number???
Penny Nom lui répond.
Capacitor discharge rate 2000-01-09
Bill Phillips pose la question :
I need to be solve for t in the following rate problem for an electrical capacitor. Vr = E(e^-t/RC), e=nat. log 2.718 raised to the -t/RC power.
Harley Weston lui répond.
Two derivatives 1999-11-16
Gina Renicker pose la question :
The derivative of:

y=e(xlnx) and y=x2arctan(x1/2)
Harley Weston lui répond.

Derivatives with logs 1999-10-26
Kate pose la question :
What is the derivative of 5 to the 5x-2 at x equals 0.8?
Harley Weston lui répond.
John Napier and e 1999-02-06
Shimin pose la question :
I would like to ask about the exact definition of e, its history (like how John Napier came about discovering it) and its applications in problems and real life situations. Thank you!
Chris Fisher lui répond.



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