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Question Number 198948    Answers: 2   Comments: 0

∫_1 ^3 ((x−2)/(x^2 −4x)) dx= ....

$$\int_{\mathrm{1}} ^{\mathrm{3}} \frac{\mathrm{x}−\mathrm{2}}{\mathrm{x}^{\mathrm{2}} −\mathrm{4x}}\:\mathrm{dx}=\:.... \\ $$

Question Number 198952    Answers: 3   Comments: 0

lim_(x→0) ((sin 3x)/(tan 6x)) = ....?

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\mathrm{3x}}{\mathrm{tan}\:\mathrm{6x}}\:=\:....? \\ $$

Question Number 198951    Answers: 0   Comments: 1

(√(8+(√(48)) ))=....?

$$\sqrt{\mathrm{8}+\sqrt{\mathrm{48}}\:}=....? \\ $$

Question Number 198950    Answers: 1   Comments: 0

3x+2y=6 2x+3y=6 → x and y =...?

$$\mathrm{3x}+\mathrm{2y}=\mathrm{6} \\ $$$$\mathrm{2x}+\mathrm{3y}=\mathrm{6}\:\rightarrow\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:=...? \\ $$

Question Number 198949    Answers: 1   Comments: 0

((5!×4!)/(3!×2!)) = ....

$$\:\:\frac{\mathrm{5}!×\mathrm{4}!}{\mathrm{3}!×\mathrm{2}!}\:=\:....\:\: \\ $$

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

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