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AllQuestion and Answers: Page 213

Question Number 198941 Answers: 0 Comments: 1

Question Number 198939 Answers: 1 Comments: 0

Question Number 198933 Answers: 1 Comments: 2

Question Number 198932 Answers: 1 Comments: 0

Find the value of m given that the roots of x^4 −15x^3 +70x^2 −120x+m=0 form a geometric progression.

$${Find}\:{the}\:{value}\:{of}\:{m}\:{given}\:{that}\:{the} \\ $$$${roots}\:{of}\:{x}^{\mathrm{4}} −\mathrm{15}{x}^{\mathrm{3}} +\mathrm{70}{x}^{\mathrm{2}} −\mathrm{120}{x}+{m}=\mathrm{0} \\ $$$${form}\:{a}\:{geometric}\:{progression}. \\ $$

Question Number 198931 Answers: 2 Comments: 0

Find the value of t: t = (1/3)+(2/9)+(3/(27))+.......+(n/3^n )+.....

$${Find}\:{the}\:{value}\:{of}\:{t}:\: \\ $$$${t}\:=\:\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{2}}{\mathrm{9}}+\frac{\mathrm{3}}{\mathrm{27}}+.......+\frac{{n}}{\mathrm{3}^{{n}} }+..... \\ $$

Question Number 198929 Answers: 0 Comments: 0

Question Number 198919 Answers: 1 Comments: 1

Find the sum of the fourth powers of the roots of equation: 7x^3 −21x^2 +9x+2=0

$${Find}\:{the}\:{sum}\:{of}\:{the}\:{fourth}\:{powers}\:{of} \\ $$$${the}\:{roots}\:{of}\:{equation}: \\ $$$$\mathrm{7}{x}^{\mathrm{3}} −\mathrm{21}{x}^{\mathrm{2}} +\mathrm{9}{x}+\mathrm{2}=\mathrm{0} \\ $$

Question Number 198913 Answers: 3 Comments: 1

Question Number 198907 Answers: 0 Comments: 2

find the Area betwen Circle 1 and Circle2.

$$\mathrm{find}\:\mathrm{the}\:\mathrm{Area}\:\mathrm{betwen}\:\mathrm{Circle}\:\mathrm{1}\:\mathrm{and}\: \\ $$$$\mathrm{Circle2}. \\ $$

Question Number 198903 Answers: 1 Comments: 1

Find the minimum value of (a/(b+c))+(b/(c+a))+(c/(a+b)) for all positive real numbers

$${Find}\:{the}\:{minimum}\:{value}\:{of}\: \\ $$$$\frac{{a}}{{b}+{c}}+\frac{{b}}{{c}+{a}}+\frac{{c}}{{a}+{b}}\:{for}\:{all}\:{positive}\:{real} \\ $$$${numbers} \\ $$

Question Number 198902 Answers: 2 Comments: 0

Given that k^2 −3k+5=0, determine the value of k^4 −6k^3 +9k^2 −7

$${Given}\:{that}\:{k}^{\mathrm{2}} −\mathrm{3}{k}+\mathrm{5}=\mathrm{0},\:{determine} \\ $$$${the}\:{value}\:{of}\:{k}^{\mathrm{4}} −\mathrm{6}{k}^{\mathrm{3}} +\mathrm{9}{k}^{\mathrm{2}} −\mathrm{7} \\ $$

Question Number 198901 Answers: 1 Comments: 0

Question Number 198900 Answers: 0 Comments: 0

((2sin2°+4sin4°+...+180sin180°)/(90))=? calculate.help me pleas.

$$\frac{\mathrm{2}{sin}\mathrm{2}°+\mathrm{4}{sin}\mathrm{4}°+...+\mathrm{180}{sin}\mathrm{180}°}{\mathrm{90}}=? \\ $$$${calculate}.{help}\:{me}\:{pleas}. \\ $$

Question Number 198879 Answers: 0 Comments: 0

Question Number 198869 Answers: 1 Comments: 2

Question Number 198862 Answers: 2 Comments: 0

Question Number 198860 Answers: 1 Comments: 0

Question Number 198855 Answers: 1 Comments: 0

prove : lim_(n→∞) ((n!)/(n^x (n−x)!)) = 1

$${prove}\::\:\underset{{n}\rightarrow\infty} {{lim}}\:\frac{{n}!}{{n}^{{x}} \left({n}−{x}\right)!}\:=\:\mathrm{1}\: \\ $$

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

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

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