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Question Number 47801    Answers: 1   Comments: 0

An object starts from rest and moves with a velocity of (3i+4j)ms^(−1) . It covers a distance of 400km.Find a) its acceleration b) the time taken to cover the distance 400km.

$${An}\:{object}\:{starts}\:{from}\:{rest}\:{and}\:{moves}\:{with}\:{a}\:{velocity}\:{of}\: \\ $$$$\left(\mathrm{3}{i}+\mathrm{4}{j}\right){ms}^{−\mathrm{1}} .\:{It}\:{covers}\:{a}\:{distance}\:{of}\:\mathrm{400}{km}.{Find}\: \\ $$$$\left.{a}\right)\:{its}\:{acceleration} \\ $$$$\left.{b}\right)\:{the}\:{time}\:{taken}\:{to}\:{cover}\:{the}\:{distance}\:\mathrm{400}{km}. \\ $$

Question Number 47595    Answers: 0   Comments: 3

Question Number 47593    Answers: 0   Comments: 0

Which of the following statements are/is true?

$$\mathrm{Which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{statements}\: \\ $$$$\mathrm{are}/\mathrm{is}\:\mathrm{true}? \\ $$

Question Number 47590    Answers: 1   Comments: 1

f(x)=e^x g(x)=x^2 (f+g)(x)=? (f×x)(x)=? (f/g)(x)=?

$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{e}^{\mathrm{x}} \: \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=\mathrm{x}^{\mathrm{2}} \\ $$$$\left(\mathrm{f}+\mathrm{g}\right)\left(\mathrm{x}\right)=? \\ $$$$\left(\mathrm{f}×\mathrm{x}\right)\left(\mathrm{x}\right)=? \\ $$$$\left(\mathrm{f}/\mathrm{g}\right)\left(\mathrm{x}\right)=? \\ $$

Question Number 47586    Answers: 1   Comments: 0

Given the function f(θ)= cos2θ − sinθ. (for 0°≤θ≤π) plot the graph for intervals of (π/6). hence find the value of cos2θ=sinθ.

$${Given}\:{the}\:{function}\:{f}\left(\theta\right)=\:{cos}\mathrm{2}\theta\:−\:{sin}\theta.\:\left({for}\:\mathrm{0}°\leqslant\theta\leqslant\pi\right) \\ $$$${plot}\:{the}\:{graph}\:{for}\:\:{intervals}\:{of}\:\frac{\pi}{\mathrm{6}}. \\ $$$${hence}\:{find}\:{the}\:{value}\:{of}\:{cos}\mathrm{2}\theta={sin}\theta. \\ $$

Question Number 47581    Answers: 1   Comments: 1

The root of the equation (2/(x−1)) + (1/(x+2)) + ((3x(x+1))/((x−1)(x+2))) = 0 among the following is

$$\mathrm{The}\:\mathrm{root}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\frac{\mathrm{2}}{{x}−\mathrm{1}}\:+\:\frac{\mathrm{1}}{{x}+\mathrm{2}}\:+\:\frac{\mathrm{3}{x}\left({x}+\mathrm{1}\right)}{\left({x}−\mathrm{1}\right)\left({x}+\mathrm{2}\right)}\:=\:\mathrm{0}\:\: \\ $$$$\mathrm{among}\:\mathrm{the}\:\mathrm{following}\:\mathrm{is} \\ $$

Question Number 47565    Answers: 0   Comments: 0

Question Number 47561    Answers: 0   Comments: 0

thanks sir

$$\mathrm{thanks}\:\mathrm{sir} \\ $$

Question Number 47559    Answers: 1   Comments: 1

Question Number 47556    Answers: 1   Comments: 1

Question Number 47566    Answers: 2   Comments: 0

∫sin51x(sinx)^(49) dx

$$\int{sin}\mathrm{51}{x}\left({sinx}\right)^{\mathrm{49}} {dx} \\ $$

Question Number 47543    Answers: 2   Comments: 0

solve (1+ix)^n =n with x unknown real and n integr natural .

$${solve}\:\left(\mathrm{1}+{ix}\right)^{{n}} ={n}\:\:\:{with}\:{x}\:{unknown}\:{real}\:{and}\:{n}\:{integr}\:{natural}\:. \\ $$

Question Number 47552    Answers: 3   Comments: 1

((5(x−2))/4)=((6x−9)/5) plz help me

$$\frac{\mathrm{5}\left(\mathrm{x}−\mathrm{2}\right)}{\mathrm{4}}=\frac{\mathrm{6x}−\mathrm{9}}{\mathrm{5}}\:\:\:\mathrm{plz}\:\mathrm{help}\:\mathrm{me} \\ $$

Question Number 47532    Answers: 2   Comments: 0

(√(400^2 +100^(2=) ))

$$\sqrt{\mathrm{400}^{\mathrm{2}} +\mathrm{100}^{\mathrm{2}=} } \\ $$

Question Number 47531    Answers: 1   Comments: 2

Question Number 47527    Answers: 0   Comments: 0

Question Number 47526    Answers: 0   Comments: 0

Question Number 47523    Answers: 0   Comments: 3

I have a question, Can we consider as a complex number a number if its real part or his imaginary part is null ? For example : a + b i where a=0 xor b=0. for example, a=7 and b=0 7 + 0i = 7 So, is a whole number for example may be considered as a complex number ?

$$\mathrm{I}\:\mathrm{have}\:\mathrm{a}\:\mathrm{question}, \\ $$$$\mathrm{Can}\:\mathrm{we}\:\mathrm{consider}\:\mathrm{as}\:\mathrm{a}\:\mathrm{complex}\:\mathrm{number}\:\mathrm{a} \\ $$$$\mathrm{number}\:\mathrm{if}\:\mathrm{its}\:\mathrm{real}\:\mathrm{part}\:\mathrm{or}\:\mathrm{his}\:\mathrm{imaginary} \\ $$$$\mathrm{part}\:\mathrm{is}\:\mathrm{null}\:? \\ $$$$\mathrm{For}\:\mathrm{example}\:: \\ $$$${a}\:+\:{b}\:{i} \\ $$$$\mathrm{where}\:\mathrm{a}=\mathrm{0}\:\mathrm{xor}\:\mathrm{b}=\mathrm{0}. \\ $$$$\mathrm{for}\:\mathrm{example}, \\ $$$$\mathrm{a}=\mathrm{7}\:\mathrm{and}\:\mathrm{b}=\mathrm{0} \\ $$$$\mathrm{7}\:+\:\mathrm{0}{i}\:=\:\mathrm{7} \\ $$$$\mathrm{So},\:\mathrm{is}\:\mathrm{a}\:\mathrm{whole}\:\mathrm{number}\:\mathrm{for}\:\mathrm{example}\:\mathrm{may}\:\mathrm{be} \\ $$$$\mathrm{considered}\:\mathrm{as}\:\mathrm{a}\:\mathrm{complex}\:\mathrm{number}\:? \\ $$

Question Number 47540    Answers: 1   Comments: 1

find ∫ arctan((√x))dx.

$${find}\:\int\:{arctan}\left(\sqrt{{x}}\right){dx}. \\ $$

Question Number 47519    Answers: 1   Comments: 1

Question Number 47515    Answers: 1   Comments: 1

Question Number 47513    Answers: 1   Comments: 1

Question Number 47510    Answers: 0   Comments: 1

the curve y = 3x^2 +4 (x=2 and x=3) is rotated about the x.axis.find the volume of the solid generated.Leave your answer in terms of π.

$${the}\:{curve}\:{y}\:=\:\mathrm{3}{x}^{\mathrm{2}} \:+\mathrm{4}\:\left({x}=\mathrm{2}\:{and}\:{x}=\mathrm{3}\right)\:{is}\:{rotated}\:{about}\:{the}\: \\ $$$${x}.{axis}.{find}\:{the}\:{volume}\:{of}\:{the}\:{solid}\:{generated}.{Leave}\:{your} \\ $$$${answer}\:{in}\:{terms}\:{of}\:\pi. \\ $$

Question Number 47508    Answers: 0   Comments: 1

Question Number 47500    Answers: 0   Comments: 0

Question Number 47497    Answers: 1   Comments: 1

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