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AllQuestion and Answers: Page 1906

Question Number 12064    Answers: 0   Comments: 0

A heat pump gas C.P = 3, while the indoor temperature is 27°C and the outdoor temperature is 8°C. How much work per hour is required to pump 3.07 J of heat per hour into the individual unit of 10^5 J.

AheatpumpgasC.P=3,whiletheindoortemperatureis27°Candtheoutdoortemperatureis8°C.Howmuchworkperhourisrequiredtopump3.07Jofheatperhourintotheindividualunitof105J.

Question Number 12063    Answers: 1   Comments: 0

Question Number 12062    Answers: 2   Comments: 0

lim_(x→y) ((x^n − y^n )/(x − y))

limxyxnynxy

Question Number 12047    Answers: 1   Comments: 1

∫4x^3 (3x^2 + 2)^5 dx

4x3(3x2+2)5dx

Question Number 12046    Answers: 1   Comments: 0

how much matrices of integers number A= [(a,b),(c,d) ]if A^2 +A=2I, c=0, det(A)=4

howmuchmatricesofintegersnumberA=[abcd]ifA2+A=2I,c=0,det(A)=4

Question Number 12045    Answers: 1   Comments: 0

how much matrices of integers number A= [(a,b),(c,d) ]if A^2 =I and b=c

howmuchmatricesofintegersnumberA=[abcd]ifA2=Iandb=c

Question Number 12044    Answers: 1   Comments: 0

A∈M_(n×n) A^2 =A (I+A)^(−1) =....???

AMn×nA2=A(I+A)1=....???

Question Number 12326    Answers: 1   Comments: 0

Π_(n=1) ^x a_n =9^(x!) a_4 =?

xn=1an=9x!a4=?

Question Number 12040    Answers: 2   Comments: 0

Prove that ∀x,y∈R ⇒ 1+ ((x^2 +y^2 +xy)/3) ≥ x+y

Provethatx,yR1+x2+y2+xy3x+y

Question Number 12030    Answers: 1   Comments: 0

Question Number 12028    Answers: 1   Comments: 0

Express : sin(33) in surd form.

Express:sin(33)insurdform.

Question Number 12023    Answers: 3   Comments: 0

Solve simultaneously x + y − (√(xy)) = 3 .......... (i) (√(x + 1)) + (√(y + 1)) = 4 .......... (ii)

Solvesimultaneouslyx+yxy=3..........(i)x+1+y+1=4..........(ii)

Question Number 12019    Answers: 1   Comments: 0

Question Number 12018    Answers: 0   Comments: 0

Question Number 12017    Answers: 0   Comments: 0

How Can we expand (a+b)^(1/2) and (a+b)^(−n) ?

HowCanweexpand(a+b)12and(a+b)n?

Question Number 12015    Answers: 1   Comments: 0

prove that for all x ∈R, e^x ≥x^e

provethatforallxR,exxe

Question Number 12013    Answers: 1   Comments: 0

The slope of a curve is, 7x + 3 and it passes through the point (2, 4), Find the equation of the point

Theslopeofacurveis,7x+3anditpassesthroughthepoint(2,4),Findtheequationofthepoint

Question Number 12008    Answers: 1   Comments: 1

Question Number 11998    Answers: 0   Comments: 4

Question Number 11994    Answers: 0   Comments: 1

4x=60

4x=60

Question Number 11991    Answers: 0   Comments: 0

show that: ((2n)/(2n+1))=1−(1/(2n+1)) via power series, and other methods

showthat:2n2n+1=112n+1viapowerseries,andothermethods

Question Number 11988    Answers: 2   Comments: 3

Question Number 11987    Answers: 1   Comments: 0

The radius of the moon is (1/4), and its mass is (1/(81)) that of the earth. If the acceleration due to gravity on the surface of the earth is 9.8m/s^2 . What is its value on the moon′s surface.

Theradiusofthemoonis14,anditsmassis181thatoftheearth.Iftheaccelerationduetogravityonthesurfaceoftheearthis9.8m/s2.Whatisitsvalueonthemoonssurface.

Question Number 11982    Answers: 1   Comments: 0

∫x^5 ((√(x^3 + 1))) dx

x5(x3+1)dx

Question Number 11977    Answers: 1   Comments: 0

If S_1 , S_2 , S_3 be the sum of n, 2n, 3n terms respectively of an AP, then

IfS1,S2,S3bethesumofn,2n,3ntermsrespectivelyofanAP,then

Question Number 11969    Answers: 2   Comments: 0

A gas occupies 30 dm^3 at s t p, what volume will it occupy at 91°C and 380 mmHg

Agasoccupies30dm3atstp,whatvolumewillitoccupyat91°Cand380mmHg

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