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Question Number 134960 Answers: 1 Comments: 0

Number theory A palindrome is a number that reads the same backwards as forwards, as 3141413. (a)How many two-digit palindromes are there? (b)How many three-digit ones? (c)How many k-digits ones?

$$\mathrm{Number}\:\mathrm{theory} \\ $$A palindrome is a number that reads the same backwards as forwards, as 3141413. (a)How many two-digit palindromes are there? (b)How many three-digit ones? (c)How many k-digits ones?

Question Number 134951 Answers: 1 Comments: 0

Geometry What are the equations for two lines through the origin that are tangent to the ellipse 6𝑥²−48𝑥+𝑦²+5=0 ?

$$\underline{\mathrm{Geometry}} \\ $$What are the equations for two lines through the origin that are tangent to the ellipse 6𝑥²−48𝑥+𝑦²+5=0 ?

Question Number 134949 Answers: 1 Comments: 0

Question Number 134948 Answers: 1 Comments: 2

Question Number 134947 Answers: 1 Comments: 0

∫_0 ^( 2) ((√(1+x^3 )) + ((x^2 +2x))^(1/3) )dx ?

$$\int_{\mathrm{0}} ^{\:\mathrm{2}} \:\left(\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{3}} \:}\:+\:\sqrt[{\mathrm{3}}]{\mathrm{x}^{\mathrm{2}} +\mathrm{2x}}\:\right)\mathrm{dx}\:?\: \\ $$

Question Number 134962 Answers: 1 Comments: 0

Question Number 134957 Answers: 0 Comments: 8

Question Number 134941 Answers: 0 Comments: 1

Question Number 134940 Answers: 0 Comments: 0

let X=R wth the usual metric. prove that the open and bounded interval A=(1,2) is an open set in R.

$${let}\:{X}=\mathbb{R}\:{wth}\:{the}\:{usual}\:{metric}.\:{prove}\:{that}\:{the}\:{open} \\ $$$${and}\:{bounded}\:{interval}\:{A}=\left(\mathrm{1},\mathrm{2}\right)\:{is}\:{an}\:{open}\:{set}\:{in}\:\mathbb{R}. \\ $$

Question Number 134934 Answers: 0 Comments: 2

Question Number 134931 Answers: 1 Comments: 0

n an integer ,∫_0 ^1 (1/(t^n +1))dt=...??

$${n}\:{an}\:{integer}\:,\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\frac{\mathrm{1}}{{t}^{{n}} +\mathrm{1}}{dt}=...??\: \\ $$

Question Number 134929 Answers: 0 Comments: 0

Question Number 134928 Answers: 0 Comments: 0

f derivable in 0 and f (0)=0 determined lim_(n→+∞) Σ_(k=0) ^n f((k/n^2 )) help me

$$ \\ $$$$\mathrm{f}\:\mathrm{derivable}\:\mathrm{in}\:\mathrm{0}\:\mathrm{and}\:\mathrm{f}\:\left(\mathrm{0}\right)=\mathrm{0} \\ $$$${determined}\:\underset{{n}\rightarrow+\infty} {\mathrm{lim}}\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}{f}\left(\frac{{k}}{{n}^{\mathrm{2}} }\right) \\ $$$$ \\ $$$${help}\:{me} \\ $$

Question Number 134915 Answers: 1 Comments: 0

Question Number 134912 Answers: 1 Comments: 0

Given { ((a+b=5ab)),((b+c=7bc)),((c+a=6ac)) :} where a,b,c ≠ 0. Find abc

$$\mathrm{Given}\:\begin{cases}{\mathrm{a}+\mathrm{b}=\mathrm{5ab}}\\{\mathrm{b}+\mathrm{c}=\mathrm{7bc}}\\{\mathrm{c}+\mathrm{a}=\mathrm{6ac}}\end{cases} \\ $$$$\mathrm{where}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\neq\:\mathrm{0}. \\ $$$$\mathrm{Find}\:\mathrm{abc} \\ $$

Question Number 134905 Answers: 2 Comments: 1

Combinatorics What is the number of ways of distributing 9 different objects among 5 persons such that each gets at least 1?

$$\mathrm{Combinatorics} \\ $$What is the number of ways of distributing 9 different objects among 5 persons such that each gets at least 1?

Question Number 134904 Answers: 0 Comments: 0

Question Number 134902 Answers: 1 Comments: 1

Question Number 134899 Answers: 0 Comments: 0

Question Number 134890 Answers: 1 Comments: 0

Question Number 134937 Answers: 0 Comments: 1

lim_((1/x)→ln(1/2)) ((ln2+ln2∙cosx)/(cos^2 ln(√(1/2))))=?

$${li}\underset{\frac{\mathrm{1}}{{x}}\rightarrow{ln}\frac{\mathrm{1}}{\mathrm{2}}} {{m}}\frac{{ln}\mathrm{2}+{ln}\mathrm{2}\centerdot{cosx}}{{cos}^{\mathrm{2}} {ln}\sqrt{\frac{\mathrm{1}}{\mathrm{2}}}}=? \\ $$

Question Number 134884 Answers: 2 Comments: 0

if 2x^3 −2=∫_a ^x f(t)dt, then f ′(a)=...

$$\mathrm{if}\:\mathrm{2x}^{\mathrm{3}} −\mathrm{2}=\int_{{a}} ^{\mathrm{x}} \mathrm{f}\left(\mathrm{t}\right)\mathrm{dt},\:\mathrm{then}\:\mathrm{f}\:'\left({a}\right)=... \\ $$

Question Number 134878 Answers: 1 Comments: 0

Question Number 134875 Answers: 1 Comments: 1

Question Number 134874 Answers: 1 Comments: 1

The two side of rectangle are 2x and (!5−2x) units respectively For what value of x the area of rectangle will be maximum?

$$\mathrm{The}\:\mathrm{two}\:\mathrm{side}\:\mathrm{of}\:\mathrm{rectangle}\:\mathrm{are} \\ $$$$\mathrm{2}{x}\:\mathrm{and}\:\left(!\mathrm{5}−\mathrm{2}{x}\right)\:\mathrm{units}\:\mathrm{respectively} \\ $$$$\mathrm{For}\:\mathrm{what}\:\mathrm{value}\:\mathrm{of}\:{x}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of} \\ $$$$\mathrm{rectangle}\:\mathrm{will}\:\mathrm{be}\:\mathrm{maximum}? \\ $$

Question Number 134872 Answers: 1 Comments: 0

−−−−−−−−−−−−− Trygonometri What is the value of cosA if cosA+3sinA=2?

$$−−−−−−−−−−−−− \\ $$Trygonometri What is the value of cosA if cosA+3sinA=2?

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