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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

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

Question Number 68289 Answers: 1 Comments: 0

A circle is divided into two equal parts By An arc with center on the circle. Determine (a) The length of the arc (b)The ratio in which the arc divides the diameter meeting the center of the arc.

$$\mathrm{A}\:\mathrm{circle}\:\mathrm{is}\:\mathrm{divided}\:\mathrm{into}\:\mathrm{two}\:\mathrm{equal}\:\mathrm{parts} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{By} \\ $$$$\:\mathrm{An}\:\mathrm{arc}\:\mathrm{with}\:\mathrm{center}\:\mathrm{on}\:\mathrm{the}\:\mathrm{circle}. \\ $$$$\mathcal{D}{etermine} \\ $$$$\:\:\left({a}\right)\:{The}\:{length}\:{of}\:{the}\:{arc} \\ $$$$\:\:\left({b}\right){The}\:{ratio}\:{in}\:{which}\:{the}\:{arc} \\ $$$$\:\:\:\:\:\:\:\:{divides}\:{the}\:{diameter}\: \\ $$$$\:\:\:\:\:\:\:\:{meeting}\:{the}\:{center}\:{of}\:{the}\:{arc}. \\ $$

Question Number 68272 Answers: 1 Comments: 0

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