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AllQuestion and Answers: Page 121

Question Number 203569    Answers: 1   Comments: 3

Question Number 203567    Answers: 0   Comments: 0

Question Number 203566    Answers: 1   Comments: 0

′P′ is a prime number (P>1000). If P ≡ r (mod 1000). how many value of ′r′.

Pisaprimenumber(P>1000).IfPr(mod1000).howmanyvalueofr.

Question Number 203565    Answers: 1   Comments: 0

Solve the following equation simultaneously and find the stationary points: 2xy^2 c^2 − 4x^3 y^2 − 2xy^4 = 0 -----(1) 2x^2 yc^2 − 2x^4 y − 4x^2 y^3 = 0 -----(2) Please, I need a well detail calculation Thank you

Solvethefollowingequationsimultaneouslyandfindthestationarypoints:2xy2c24x3y22xy4=0(1)2x2yc22x4y4x2y3=0(2)Please,IneedawelldetailcalculationThankyou

Question Number 203564    Answers: 1   Comments: 0

∫_0 ^( ∞) ((sin^( 3) (x))/x^( 2) ) dx= ?

0sin3(x)x2dx=?

Question Number 203560    Answers: 0   Comments: 1

Question Number 203561    Answers: 0   Comments: 1

(√(2x−5+3=?))

2x5+3=?

Question Number 203557    Answers: 1   Comments: 1

Question Number 203554    Answers: 0   Comments: 0

Question Number 203547    Answers: 0   Comments: 0

Question Number 203545    Answers: 1   Comments: 0

If A,B,C are finite sets whose elements are from the same universal set U and n(A) denotes the number of element in the set A (a) Show by means of venn diagram that n(A ∪ B) = n(A) + n(B) − n(A ∩ B) (b) Using the fact that (A ∪ B ∪ C) = (A∪B)∪C =A∪(B∪C) deduce an expression for (A∪B∪C) (c) If n(A∪B)= n(A∩B), what can be said about A and B? How did you reach your conclusion. Thank you in advance

IfA,B,CarefinitesetswhoseelementsarefromthesameuniversalsetUandn(A)denotesthenumberofelementinthesetA(a)Showbymeansofvenndiagramthatn(AB)=n(A)+n(B)n(AB)(b)Usingthefactthat(ABC)=(AB)C=A(BC)deduceanexpressionfor(ABC)(c)Ifn(AB)=n(AB),whatcanbesaidaboutAandB?Howdidyoureachyourconclusion.Thankyouinadvance

Question Number 203544    Answers: 1   Comments: 0

∫_0 ^1_ (dx/((1−x^6 )^(1/6) )) =(π/3)

01dx(1x6)16=π3

Question Number 203533    Answers: 2   Comments: 0

Solve for x : 3^(x+2) =15^(x−1)

Solveforx:3x+2=15x1

Question Number 203529    Answers: 0   Comments: 0

Question Number 203527    Answers: 2   Comments: 0

Find the maximum value of the function f(x,y)=x^2 y^2 z^2 subject to the condition that x^2 +y^2 +z^2 =c^2 , where c is the constant. Thank you in advance

Findthemaximumvalueofthefunctionf(x,y)=x2y2z2subjecttotheconditionthatx2+y2+z2=c2,wherecistheconstant.Thankyouinadvance

Question Number 203526    Answers: 2   Comments: 0

Determine the maximum and minimum of the function: f(x,y)=x^4 +4x^2 y^2 −2x^2 +2y^2 −1 Thank you

Determinethemaximumandminimumofthefunction:f(x,y)=x4+4x2y22x2+2y21Thankyou

Question Number 203525    Answers: 1   Comments: 0

Solve: 4x^3 +8xy^2 −4x=0 -----(1) 8x^2 y−4y =0 -----(2) simultaneosly i.e find the stationary point Thank you

Solve:4x3+8xy24x=0(1)8x2y4y=0(2)simultaneoslyi.efindthestationarypointThankyou

Question Number 203509    Answers: 0   Comments: 0

Find the value of: Π_(n=1) ^∞ ((2^n +1)/(2^n −1))

Findthevalueof:n=12n+12n1

Question Number 203508    Answers: 1   Comments: 0

Evaluate the given limit: lim_(n→∞) (((8)^(1/n) −1)/( ((16))^(1/n) −1))

Evaluatethegivenlimit:limn8n116n1

Question Number 203502    Answers: 1   Comments: 2

ze^z =e Obviously z=1 Now find at least one solution for z∈C

zez=eObviouslyz=1NowfindatleastonesolutionforzC

Question Number 203498    Answers: 0   Comments: 0

(d^(3 ) y/dx^3 )=4(x+(1/4))^2 −4y

d3ydx3=4(x+14)24y

Question Number 203497    Answers: 0   Comments: 0

x^4 +cx+d=0 then find p from p^6 −4((d^( 3) /c^4 ))^(1/3) p^2 −1=0 x=(c^(1/3) /2)(p±(√(−p^2 −(8/p))) )

x4+cx+d=0thenfindpfromp64(d3c4)1/3p21=0x=c1/32(p±p28p)

Question Number 203490    Answers: 1   Comments: 0

1×3×5×7×9×...×2005 = ... (mod 1000)

1×3×5×7×9×...×2005=...(mod1000)

Question Number 203480    Answers: 3   Comments: 2

Question Number 203471    Answers: 1   Comments: 0

Question Number 203428    Answers: 0   Comments: 0

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