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Question Number 68397    Answers: 2   Comments: 0

Question Number 68390    Answers: 1   Comments: 0

Question Number 68370    Answers: 1   Comments: 0

Question Number 68368    Answers: 1   Comments: 1

(1/(x+1)) = y lim_(x+1 → ∞) x tan ((1/(2x+2)))

$$\frac{\mathrm{1}}{{x}+\mathrm{1}}\:=\:{y} \\ $$$$\underset{{x}+\mathrm{1}\:\rightarrow\:\infty} {\mathrm{lim}}\:\:{x}\:\mathrm{tan}\:\left(\frac{\mathrm{1}}{\mathrm{2}{x}+\mathrm{2}}\right) \\ $$

Question Number 68354    Answers: 0   Comments: 6

lim_(x,y→(0,0)) ((x^4 − x^2 y^2 + y^4 )/(x^2 + x^4 y^4 + y^2 ))

$$\underset{{x},\mathrm{y}\rightarrow\left(\mathrm{0},\mathrm{0}\right)} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{4}} \:−\:\mathrm{x}^{\mathrm{2}} \mathrm{y}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{4}} }{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{x}^{\mathrm{4}} \mathrm{y}^{\mathrm{4}} \:+\:\mathrm{y}^{\mathrm{2}} } \\ $$

Question Number 68353    Answers: 1   Comments: 0

If sin x+sin^2 x=1, then value of cos^2 x+cos^4 x is

$$\mathrm{If}\:\mathrm{sin}\:{x}+\mathrm{sin}^{\mathrm{2}} {x}=\mathrm{1},\:\mathrm{then}\:\mathrm{value}\:\mathrm{of} \\ $$$$\mathrm{cos}^{\mathrm{2}} {x}+\mathrm{cos}^{\mathrm{4}} {x}\:\:\mathrm{is} \\ $$

Question Number 68352    Answers: 1   Comments: 0

The value of ((1−tan^2 15°)/(1+tan^2 15°)) is

$$\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:\:\frac{\mathrm{1}−\mathrm{tan}^{\mathrm{2}} \mathrm{15}°}{\mathrm{1}+\mathrm{tan}^{\mathrm{2}} \mathrm{15}°}\:\:\mathrm{is} \\ $$

Question Number 68351    Answers: 2   Comments: 0

If 2x^2 +(2p−13)x+2=0 is exactly divisible by x−3, then the value of p is

$$\mathrm{If}\:\mathrm{2}{x}^{\mathrm{2}} +\left(\mathrm{2}{p}−\mathrm{13}\right){x}+\mathrm{2}=\mathrm{0}\:\mathrm{is}\:\mathrm{exactly}\:\mathrm{divisible} \\ $$$$\mathrm{by}\:{x}−\mathrm{3},\:\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{p}\:\mathrm{is} \\ $$

Question Number 68350    Answers: 1   Comments: 2

Question Number 68349    Answers: 1   Comments: 0

Question Number 68346    Answers: 0   Comments: 0

Question Number 68342    Answers: 3   Comments: 1

Question Number 68336    Answers: 1   Comments: 1

A man gave $5,720.00 to be shared among his son and three daughters. If each of the daughter′s share is (3/4) of the son′s share, how much did the son receive?

$$\mathrm{A}\:\mathrm{man}\:\mathrm{gave}\:\$\mathrm{5},\mathrm{720}.\mathrm{00}\:\mathrm{to}\:\mathrm{be}\:\mathrm{shared}\:\mathrm{among} \\ $$$$\mathrm{his}\:\mathrm{son}\:\mathrm{and}\:\mathrm{three}\:\mathrm{daughters}.\:\mathrm{If}\:\mathrm{each}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{daughter}'\mathrm{s}\:\mathrm{share}\:\mathrm{is}\:\frac{\mathrm{3}}{\mathrm{4}}\:\mathrm{of}\:\mathrm{the}\:\mathrm{son}'\mathrm{s}\:\mathrm{share}, \\ $$$$\mathrm{how}\:\mathrm{much}\:\mathrm{did}\:\mathrm{the}\:\mathrm{son}\:\mathrm{receive}? \\ $$

Question Number 68331    Answers: 2   Comments: 0

Differentiate y=ln tan^(−1) (3x^2 )_

$${Differentiate}\:{y}={ln}\:\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{3}{x}^{\mathrm{2}} \underset{} {\right)} \\ $$

Question Number 68329    Answers: 0   Comments: 0

y=ln (sinx+x^2 )

$${y}=\mathrm{ln}\:\left({sinx}+{x}^{\mathrm{2}} \right) \\ $$

Question Number 68327    Answers: 1   Comments: 0

y=(1−2x^(−7) )^3

$${y}=\left(\mathrm{1}−\mathrm{2}{x}^{−\mathrm{7}} \right)^{\mathrm{3}} \\ $$

Question Number 68316    Answers: 0   Comments: 1

∫(4sin 3x+(e^(4x) /4))

$$\int\left(\mathrm{4sin}\:\mathrm{3}{x}+\frac{{e}^{\mathrm{4}{x}} }{\mathrm{4}}\right) \\ $$

Question Number 68315    Answers: 0   Comments: 1

∫(((x^(−3) +2x−4)/x))

$$\int\left(\frac{{x}^{−\mathrm{3}} +\mathrm{2}{x}−\mathrm{4}}{{x}}\right) \\ $$

Question Number 68309    Answers: 1   Comments: 3

Question Number 68313    Answers: 0   Comments: 1

∫(1−(6/x)+(2/x^2 )+(√x))

$$\int\left(\mathrm{1}−\frac{\mathrm{6}}{{x}}+\frac{\mathrm{2}}{{x}^{\mathrm{2}} }+\sqrt{{x}}\right) \\ $$

Question Number 68305    Answers: 1   Comments: 3

Question Number 68303    Answers: 0   Comments: 0

Question Number 68308    Answers: 1   Comments: 0

solve y′′′=y′′y′

$${solve}\:{y}'''={y}''{y}' \\ $$

Question Number 68294    Answers: 0   Comments: 0

Question Number 68285    Answers: 1   Comments: 2

two students ngum ebon gave their ages as 124_4 and 33_x respectively.if both of them are of thesame ages .find in what base ebon gave her age

$${two}\:{students}\:{ngum}\:{ebon}\:{gave}\:{their}\:{ages}\:{as}\:\mathrm{124}_{\mathrm{4}} {and}\:\mathrm{33}_{{x}} {respectively}.{if}\:{both}\:{of}\:{them}\:{are}\:{of}\:{thesame}\:{ages}\:.{find}\:{in}\:{what}\:{base}\:{ebon}\:{gave}\:{her}\:{age} \\ $$

Question Number 68280    Answers: 1   Comments: 1

given that 432_n −413_n =11_(10) .find the value of n

$${given}\:{that}\:\mathrm{432}_{{n}} −\mathrm{413}_{{n}} =\mathrm{11}_{\mathrm{10}} .{find}\:{the}\:{value}\:{of}\:{n} \\ $$

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