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Q: Let flay) = sinbet). ComPAe Dufy) wlere V= (83)

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Q: O flsy) =x4y? Find all chtical Points iusity them aclarding [ocul may lochl min, on Saddie point as…

A: The given function is f(x,y)=x2-4y2

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A: Integration can be used to obtain the volume of a solid bounded by curves by taking a small volume…

Q: Advar Ex: If w = f(x,y,z), x=x(r,0), y =y(r, 0), z = z(r, 0), find wr, we? дw dz aw ax дw ду aw

A: We will use chain rule to solve this question.

Q: Jappese you bae tus faredine J K axe dcondinous at dome Pont qs st and ptee JK aut c Sit Sem…

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Q: If 9 = {(1, y) |1 ≤ x ≤ 3,3 ≤ y ≤ 6}: D then: 11,3 dr dy

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Q: 3) Given that: ST I PQ MZQSR = 2x+5 MZRST = 5x-6 21 MZWST = 3x-9 4 L2 23 3x-9 5x-6 R. 2メ+S a)…

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Q: For what valunN vt c iv le (1, 2,3) | - 1 ? A. 14 B. -J14 d. tJ C. į J 14

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Q: d) Let y= Acos2t where A is a constant. Find the value of A such that d y --3y = 9cos2t for all…

A: Given  The equation is  y= A cos(2t) , where  A  is constant  and condition is  d2ydt2-3y=9cos(2t) .

Q: Show ALL WORK I. Find: dz a) for z=(x-y)5, x =5²t and y=st 2 b) dz for 2= (x-y), x=5²t and y= St

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Q: for cohet valus q ais to contfinuous at evey o And explain why ノ26

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Q: J. J 13 Detween anu v. R 1s bėtween S and T. T is Find: RS: QS: TS: TV:

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Q: 5. Evaluate 5z + 4 z² + 2z dz where C is the contour shown below. iR i of 1 +R

A: Given ,               ∫c 5z+4z2+2z where  'c' is a contour  in the given figure . (.)  Cauchy's…

Q: Find dy if g-s(tant). and t= CostX)

A: Given functions,  y = sin (tan t) t = cos (x) the derivative to find is, dydx = dydtdxdt

Q: Sechu =-Sechu-tonhu Jor dx

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Q: 2ove 기 whore c B the the circle 12/=3 ere Z =30 to Z = -3.

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Q: 11. If ARST is isosceles, find mZS. V15x-31) (15 R. (9x+11P T'

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Q: 4. Assume X ~ N(u, o). Recall the moment generating function of X: M(t) = eut+io?. Also recall E(X*)…

A: Given: X~ N(μ, σ)   Binomial Expansion:   a+bn=an+Cn1·an-1·b+Cn2·an-2·b2.....+bn

Q: B || Given: Congruent parts as marked in the diagram. Prove: B = LF (Hint: First draw two auxiliary…

A: Step 1: Connect AC and AE from A to C, and A to E respectively. Step 2: Consider triangles ACD and…

Q: In the equation X +7 = 12 7 is being added to the variable, x. How should you show your work to…

A: Consider the equation, x + 7 = 12

Q: Show that the opelator Tilol defined by Y=19;)=Tx.-E] *=(h:)is Linear and bounded

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Q: aw b- if w = x + 2y + z2, x , y r2 + Ins and z = 2r , find the value of ar .rk)

A: We will solve the following

Q: dy Find dz If ze" + (Inz)y + y? = 3

A: Find dydx if xex+ (ln x)y +y2 =3 We will differentiate terms and then sum them up. So, ddx(xex) =…

Q: iR w= f cu) and メコ show that x Jw

A: We’ll answer the only one question since the exact one wasn’t specified. Please submit a new…

Q: TT/Y 2TT In Cosx.secx.dx MUA MAM test EMMAHOMA MUAB 03MMAHOM

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Q: Evaluate LSIT (*+y+z)dx dy dz . X-Z

A: Introduction :We have to solve given triple integration .

Q: Calculate , if Xxyz 3 2 2 .3 f(x,y,z) = x +x*y“ + 2y° + 2z" A.1 В. B. O C. No one correct. D. 3 E. 5

A: The solution is given below in the next step:

Q: Rectangle PQRS and TUVW are similar. Which statement is not true? P Q U V S R PQ TU %3D QR UV ® mLP…

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Q: The question is in the picture

A: Given DataMean = 3.21Standard Deviation = 1.37Given interval (1.84,4.58)

Q: clai m: [011) hor no hmaximu m elemen

A: Claim [0,1) has no maximum element.

Q: tくT ay Find I EGe) where Eloest

A: The given function is: f(t)=t2       If  t<πet If  t≥π

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A: Triple integration

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A: N(x, y) =60x0.6y0.4 cost=60x+120y 300,000=60x+120y 5000=x+2y we need to maximize N for given…

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A: (a) The probability that Y greater than 5 is, Therefore, the required probability is, 0.2266

Q: D16) A hectanlar swemming area at bedc is to Be roped ph uscing 1720m on booys Three sides are soped…

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Q: Ext-Let X ond Y ave tno V-r1w.th jf.alf (291+9) 42

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Q: Given: ZW and ZY are right angles WX = XY Prove: AXWZ EAXYZ

A: GIVEN:- LW=LY=90 WX=XY

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A: Given, dydx=ex+y

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A: Let us consider a linear equation, ay-b=cy+d Taking all y-terms together on the left side and all…

Q: Laplace stanajoarm obtain sthe foslousing also. Oue sthe Specify hoc:- ci'as= t (et coset-se-2t)ult)…

A: i) Let the given equation for Laplace transform be  x(t)=(e-t cos 2t - se-2t) u(t) + e2t u(-t) / 2…