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Question Number 198850 Answers: 1 Comments: 0

p(x+1)+p(x−1)=4x^2 −2x+10 p(x)=?

$$ \\ $$$$\mathrm{p}\left(\mathrm{x}+\mathrm{1}\right)+\mathrm{p}\left(\mathrm{x}−\mathrm{1}\right)=\mathrm{4x}^{\mathrm{2}} −\mathrm{2x}+\mathrm{10} \\ $$$$\mathrm{p}\left(\mathrm{x}\right)=? \\ $$$$ \\ $$$$ \\ $$

Question Number 198849 Answers: 2 Comments: 1

Question Number 198845 Answers: 1 Comments: 0

Question Number 198839 Answers: 0 Comments: 1

lim sin(x) = ? x→+∞

$${lim}\:{sin}\left({x}\right)\:=\:? \\ $$$${x}\rightarrow+\infty \\ $$

Question Number 198851 Answers: 1 Comments: 12

You want to arrange 17 books on the shelf of a bookstore. The shelf is dedicated to the three Toni Morrison novels published between 1977 and 1987: Song of Solomon, Tar Baby, and Beloved. You have many copies of each, but on the shelf you want an even number of Song of Solomon, at least three copies of Tar Baby, and at most four copies of Beloved. How many different arrangements are possible?

Question Number 198832 Answers: 1 Comments: 2

Question Number 198828 Answers: 1 Comments: 1

Show that: Area(blue circle)=Area(Green circle)

$$\:\:\boldsymbol{\mathrm{Show}}\:\boldsymbol{\mathrm{th}{at}}: \\ $$$$\:\boldsymbol{{Area}}\left(\boldsymbol{{blue}}\:\boldsymbol{{circle}}\right)=\boldsymbol{{Area}}\left(\boldsymbol{{Green}}\:\:\boldsymbol{{circle}}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$

Question Number 198815 Answers: 0 Comments: 3

Determiner x

$$\mathrm{Determiner}\:\boldsymbol{\mathrm{x}} \\ $$

Question Number 198814 Answers: 2 Comments: 0

Simplify: ((((√(x + 4 (√(x - 4)))) + (√(x - 4 (√(x - 4))))) (√(x - 8)))/(4 (√(x^2 - 12x + 32))))

$$\mathrm{Simplify}: \\ $$$$\frac{\left(\sqrt{\mathrm{x}\:+\:\mathrm{4}\:\sqrt{\mathrm{x}\:-\:\mathrm{4}}}\:+\:\sqrt{\mathrm{x}\:-\:\mathrm{4}\:\sqrt{\mathrm{x}\:-\:\mathrm{4}}}\right)\:\sqrt{\mathrm{x}\:-\:\mathrm{8}}}{\mathrm{4}\:\sqrt{\mathrm{x}^{\mathrm{2}} \:-\:\mathrm{12x}\:+\:\mathrm{32}}} \\ $$

Question Number 198813 Answers: 1 Comments: 0

suppose that : E= (√( 9 + 4 ( Σ_(k=2) ^n a_( k) ^( 2) ))) is given let a_( k) = a_(k−1) . (a_( k−1) +1) and a_1 =1 , a_( 2) = 2 , a_( 3) = 6 , a_4 = 42 , a_( 5) = 1806 and etc find the value of E =?

$$ \\ $$$$\:\:\:\:\:{suppose}\:\:{that}\:: \\ $$$$ \\ $$$$\:\:\:\:\:\:{E}=\:\sqrt{\:\mathrm{9}\:+\:\mathrm{4}\:\left(\:\underset{{k}=\mathrm{2}} {\overset{{n}} {\sum}}\:\:{a}_{\:{k}} ^{\:\mathrm{2}} \:\right)} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{is}\:\:{given} \\ $$$$\:\:\:\:\:{let}\:\:\:\:{a}_{\:{k}} \:=\:{a}_{{k}−\mathrm{1}} \:.\:\left({a}_{\:{k}−\mathrm{1}} \:+\mathrm{1}\right) \\ $$$$\:\:\:\:\:{and}\:\:\:{a}_{\mathrm{1}} \:=\mathrm{1}\:,\:\:\:{a}_{\:\mathrm{2}} \:=\:\mathrm{2}\:\:,\:{a}_{\:\mathrm{3}} =\:\mathrm{6}\:, \\ $$$$\:\:\:\:\:\:{a}_{\mathrm{4}} \:=\:\:\mathrm{42}\:\:\:,\:{a}_{\:\mathrm{5}} \:=\:\mathrm{1806}\:\:\:\:{and}\:\:{etc} \\ $$$$\:\:\:{find}\:{the}\:\:{value}\:\:{of}\:\:\:\:{E}\:=? \\ $$

Question Number 198809 Answers: 2 Comments: 0

sum of roots log _3 x + log _3 (2,5) + log _x 9 = 3+ log _x 5

$$\:\:\:\:\:{sum}\:{of}\:{roots}\: \\ $$$$\:\mathrm{log}\:_{\mathrm{3}} {x}\:+\:\mathrm{log}\:_{\mathrm{3}} \left(\mathrm{2},\mathrm{5}\right)\:+\:\mathrm{log}\:_{{x}} \mathrm{9}\:=\:\mathrm{3}+\:\mathrm{log}\:_{{x}} \mathrm{5}\: \\ $$

Question Number 198806 Answers: 1 Comments: 0