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Question Number 64702    Answers: 1   Comments: 0

Question Number 64697    Answers: 1   Comments: 0

i need some help here. An object of mass m falls from a height h_1 and rebound to a height of h_2 . write an expression for its momentum.

$${i}\:{need}\:{some}\:{help}\:{here}.\: \\ $$$$\:{An}\:{object}\:{of}\:{mass}\:\:\:{m}\:\:\:{falls}\:{from}\:{a}\:{height}\:\:{h}_{\mathrm{1}} \:{and}\:{rebound} \\ $$$${to}\:{a}\:{height}\:{of}\:{h}_{\mathrm{2}} .\:{write}\:{an}\:{expression}\:{for}\:{its}\:{momentum}. \\ $$

Question Number 64676    Answers: 0   Comments: 0

z^4 −12iz−100=0

$${z}^{\mathrm{4}} −\mathrm{12}{iz}−\mathrm{100}=\mathrm{0} \\ $$

Question Number 64591    Answers: 0   Comments: 0

Question Number 64534    Answers: 0   Comments: 1

evalate y= 3e^(4x) − (5/(3e^(3x ) )) + 4lin2x at points (a) (0 4) and (1 8).

$${evalate}\:{y}=\:\mathrm{3}{e}^{\mathrm{4}{x}} \:−\:\frac{\mathrm{5}}{\mathrm{3}{e}^{\mathrm{3}{x}\:} }\:+\:\mathrm{4}{lin}\mathrm{2}{x}\:{at}\:\: \\ $$$${points}\:\left({a}\right)\:\left(\mathrm{0}\:\mathrm{4}\right)\:{and}\:\left(\mathrm{1}\:\mathrm{8}\right). \\ $$

Question Number 64522    Answers: 1   Comments: 0

In a hospital, Dr Steve has worked more night shifts than Dr Gregg who has worked five night shifts. Dr Okon has worked 15 night shifts more than Dr Steve and Dr Gregg combined. Dr. Uche has worked eight night shifts less than Dr Steve.How many night shifts has Dr. Steve worked? a)10 b)9 c)8 d)7

$${In}\:{a}\:{hospital},\:{Dr}\:{Steve}\:{has}\:{worked} \\ $$$${more}\:{night}\:{shifts}\:{than}\:{Dr}\:{Gregg}\:{who} \\ $$$${has}\:{worked}\:{five}\:{night}\:{shifts}.\:{Dr}\:{Okon} \\ $$$${has}\:{worked}\:\mathrm{15}\:{night}\:{shifts}\:{more}\:{than} \\ $$$${Dr}\:{Steve}\:{and}\:{Dr}\:{Gregg}\:{combined}. \\ $$$${Dr}.\:{Uche}\:{has}\:{worked}\:{eight}\:{night}\:{shifts} \\ $$$${less}\:{than}\:{Dr}\:{Steve}.{How}\:{many}\:{night} \\ $$$${shifts}\:{has}\:{Dr}.\:{Steve}\:{worked}? \\ $$$$\left.{a}\left.\right)\left.\mathrm{1}\left.\mathrm{0}\:{b}\right)\mathrm{9}\:{c}\right)\mathrm{8}\:{d}\right)\mathrm{7} \\ $$

Question Number 64471    Answers: 1   Comments: 0

∫((tanx))^(1/4) dx

$$\int\sqrt[{\mathrm{4}}]{{tanx}}{dx} \\ $$

Question Number 64397    Answers: 1   Comments: 0

(7/(4x−1))−(5/(4x−1))

$$\frac{\mathrm{7}}{\mathrm{4x}−\mathrm{1}}−\frac{\mathrm{5}}{\mathrm{4x}−\mathrm{1}} \\ $$

Question Number 64396    Answers: 1   Comments: 0

(x+2)(x−2)

$$\left(\mathrm{x}+\mathrm{2}\right)\left(\mathrm{x}−\mathrm{2}\right) \\ $$

Question Number 64391    Answers: 0   Comments: 1

(6/(a+5))+(4/(a+5))

$$\frac{\mathrm{6}}{\mathrm{a}+\mathrm{5}}+\frac{\mathrm{4}}{\mathrm{a}+\mathrm{5}} \\ $$

Question Number 64381    Answers: 0   Comments: 1

Question Number 64356    Answers: 1   Comments: 0

$$ \\ $$

Question Number 64354    Answers: 1   Comments: 0

some one write the statement a ≡−a(mod m) show that this statement is not generally true.! giving a counter example

$${some}\:{one}\:{write}\:{the}\:{statement} \\ $$$$\:{a}\:\equiv−{a}\left({mod}\:{m}\right)\: \\ $$$${show}\:{that}\:{this}\:{statement}\:{is}\:{not}\:{generally}\:{true}.!\:{giving}\:{a}\:{counter} \\ $$$${example} \\ $$

Question Number 64350    Answers: 0   Comments: 3

Given that f(x) = determinant ((x,x^2 ,x^3 ),(1,(2x),(3x^2 )),(0,2,(6x))), find f ′ (x)

$${Given}\:{that}\:{f}\left({x}\right)\:=\:\begin{vmatrix}{{x}}&{{x}^{\mathrm{2}} }&{{x}^{\mathrm{3}} }\\{\mathrm{1}}&{\mathrm{2}{x}}&{\mathrm{3}{x}^{\mathrm{2}} }\\{\mathrm{0}}&{\mathrm{2}}&{\mathrm{6}{x}}\end{vmatrix},\:{find}\:{f}\:'\:\left({x}\right) \\ $$

Question Number 64347    Answers: 0   Comments: 0

Two consecutive integers between which a root of the equation 1)x^3 +x−16=0 2) x^2 −3x+2=0 lies are;

$${Two}\:{consecutive}\:{integers}\:{between}\:{which}\:{a}\:{root}\:{of}\:{the}\:{equation} \\ $$$$\left.\:\mathrm{1}\right){x}^{\mathrm{3}} +{x}−\mathrm{16}=\mathrm{0}\: \\ $$$$\left.\mathrm{2}\right)\:{x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{2}=\mathrm{0} \\ $$$${lies}\:{are}; \\ $$

Question Number 64218    Answers: 0   Comments: 4

so goodbye everybody i am leaving this platform

$${so}\:{goodbye}\:{everybody}\:{i}\:{am}\:{leaving}\:{this}\:{platform} \\ $$

Question Number 64138    Answers: 1   Comments: 0

Question Number 64086    Answers: 0   Comments: 5

if 3x + 5y = 1 use Bezout′s identity to find the value of x and y

$${if}\:\:\:\mathrm{3}{x}\:+\:\mathrm{5}{y}\:=\:\mathrm{1} \\ $$$${use}\:{Bezout}'{s}\:{identity}\:{to}\:{find}\:{the}\:{value}\:{of}\:{x}\:{and}\:{y} \\ $$

Question Number 64018    Answers: 0   Comments: 11

sin3θ=? cos3θ=? tan3θ=?

$${sin}\mathrm{3}\theta=? \\ $$$${cos}\mathrm{3}\theta=? \\ $$$${tan}\mathrm{3}\theta=? \\ $$

Question Number 64017    Answers: 0   Comments: 4

why can′t we differentiate or intergrate powers of trigonometric functions such as 1) ∫cos^2 xdx? 3) ∫tan^2 2xdx 2)∫sin^2 xdx? 4) ∫sin^(10) x hence how do we solve such problems.?

$${why}\:{can}'{t}\:{we}\:{differentiate}\:{or}\:{intergrate}\:{powers}\:{of}\:{trigonometric} \\ $$$${functions}\:{such}\:{as}\: \\ $$$$\left.\mathrm{1}\left.\right)\:\int{cos}^{\mathrm{2}} {xdx}?\:\:\:\:\mathrm{3}\right)\:\int{tan}^{\mathrm{2}} \mathrm{2}{xdx} \\ $$$$\left.\mathrm{2}\left.\right)\int{sin}^{\mathrm{2}} {xdx}?\:\:\:\:\:\mathrm{4}\right)\:\int{sin}^{\mathrm{10}} {x} \\ $$$${hence}\:{how}\:{do}\:{we}\:{solve}\:{such}\:{problems}.? \\ $$

Question Number 64015    Answers: 1   Comments: 0

How can such questions be solved.? x^2 −∣7∣ +10=0 x^2 −∣x∣−6>0

$$\:{How}\:{can}\:{such}\:{questions}\:{be}\:{solved}.? \\ $$$$\:\:{x}^{\mathrm{2}} −\mid\mathrm{7}\mid\:+\mathrm{10}=\mathrm{0} \\ $$$$\:\:{x}^{\mathrm{2}} −\mid{x}\mid−\mathrm{6}>\mathrm{0} \\ $$$$\:\: \\ $$

Question Number 63984    Answers: 1   Comments: 5

is it true? e^(lnx) = x? if so then (d/dx)(e^(lnx) )=?

$${is}\:{it}\:{true}? \\ $$$$\:\:{e}^{{lnx}} =\:{x}? \\ $$$${if}\:{so}\:{then}\:\:\frac{{d}}{{dx}}\left({e}^{{lnx}} \right)=? \\ $$

Question Number 63983    Answers: 1   Comments: 0

Please i need someones help on this How do i find an Asymptote to a curve? and also how find a general solution for a differential equation.

$${Please}\:{i}\:{need}\:{someones}\:{help}\:{on}\:{this}\: \\ $$$${How}\:{do}\:{i}\:{find}\:{an}\:{Asymptote}\:{to}\:{a}\:{curve}? \\ $$$${and}\:{also}\:{how}\:{find}\:{a}\:{general}\:{solution}\:{for}\:{a}\:{differential}\: \\ $$$${equation}. \\ $$$$ \\ $$

Question Number 63891    Answers: 0   Comments: 0

A bus is travelling along a straight road at 100Km/hr and the bus conductor walks at 6Km/hr on the floor of the bus and in the same direction as the bus. Find the speed of the conductor relative to the road, and relative to the bus. If the bus conductor now works at the same rate but in the opposite direction as the bus, find his new speed relative to the road. Answers in textbook: 106Km/hr, 64Km/hr, 94Km/hr

$$\mathrm{A}\:\mathrm{bus}\:\mathrm{is}\:\mathrm{travelling}\:\mathrm{along}\:\mathrm{a}\:\mathrm{straight}\:\mathrm{road}\:\mathrm{at}\:\mathrm{100Km}/\mathrm{hr}\:\mathrm{and} \\ $$$$\mathrm{the}\:\mathrm{bus}\:\mathrm{conductor}\:\mathrm{walks}\:\mathrm{at}\:\mathrm{6Km}/\mathrm{hr}\:\mathrm{on}\:\mathrm{the}\:\mathrm{floor}\:\mathrm{of}\:\mathrm{the}\:\mathrm{bus} \\ $$$$\mathrm{and}\:\mathrm{in}\:\mathrm{the}\:\mathrm{same}\:\mathrm{direction}\:\mathrm{as}\:\mathrm{the}\:\mathrm{bus}.\: \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{the}\:\mathrm{conductor}\:\mathrm{relative}\:\mathrm{to}\:\mathrm{the}\:\mathrm{road},\:\mathrm{and} \\ $$$$\mathrm{relative}\:\mathrm{to}\:\mathrm{the}\:\mathrm{bus}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{bus}\:\mathrm{conductor}\:\mathrm{now}\:\mathrm{works}\:\mathrm{at}\:\mathrm{the}\:\mathrm{same} \\ $$$$\mathrm{rate}\:\mathrm{but}\:\mathrm{in}\:\mathrm{the}\:\mathrm{opposite}\:\mathrm{direction}\:\mathrm{as}\:\mathrm{the}\:\mathrm{bus},\:\mathrm{find}\:\mathrm{his}\:\mathrm{new}\:\mathrm{speed} \\ $$$$\mathrm{relative}\:\mathrm{to}\:\mathrm{the}\:\mathrm{road}. \\ $$$$\mathrm{Answers}\:\mathrm{in}\:\mathrm{textbook}:\:\:\:\:\mathrm{106Km}/\mathrm{hr},\:\:\:\:\mathrm{64Km}/\mathrm{hr},\:\:\:\:\:\mathrm{94Km}/\mathrm{hr} \\ $$

Question Number 63812    Answers: 0   Comments: 2

A can terminate a work 9 hour earlier than B. A and B terminate that work after 20 hour together. A can terminate that work after .... hour.

$$ \\ $$$${A}\:\:{can}\:{terminate}\:{a}\:{work}\:\:\mathrm{9}\:{hour}\:{earlier} \\ $$$${than}\:{B}. \\ $$$${A}\:\:{and}\:\:{B}\:\:{terminate}\:{that}\:{work}\:\:{after}\:\mathrm{20}\:{hour}\:{together}. \\ $$$${A}\:{can}\:{terminate}\:{that}\:{work}\:{after}\:....\:{hour}. \\ $$$$ \\ $$$$ \\ $$

Question Number 63758    Answers: 0   Comments: 6

Tanmay Sir. Are you ok ?

$$\mathrm{Tanmay}\:\mathrm{Sir}.\:\mathrm{Are}\:\mathrm{you}\:\mathrm{ok}\:? \\ $$

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