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Q: Use špheričal čoördiñatės. Evaluate tet dv, where E is the portion of the unit ball x2 + y² + z² s 1…

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Q: Aro/ prove JhaT cosh(?14z)=coshzi cosh2.+ Sinh2,Sinhze Hiw/ It isinh Z = siniz, prove That: %3D…

A: Note: As per bartleby guidelines for more than one questions asked only one question is to be…

Q: S (x, y) = sen (r² – 0²) + In(r® + 0), con Vr? + y? A r = = arctan

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Q: Evaluate: S (In(2æ – 1) – (5) + 25 ) dx - Limits: [1, 6] Using Trapezoidal, n = 30

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Q: The speciat sotution to the equatio %3D ho A/y)=+X B/yo)=y - %3D d/other than that

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Q: 3) Let PIASR ond Thi AxC ßeD. Then his a Anction. Te Ø # 4 B and ø 7b cD then that h'(Y x Y% ]=…

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Q: 2 cos Ø sinotos"0 csc0 Reuorite the expresson as a single triganometrie function whose anqument is…

A: Given: The expression 2cosϕsinϕ+cos2ϕcscϕ, To simplify: The given expression in term of one…

Q: r próducts, šó thát théy indeed. They took an a ts to explore the claim -ies randomly.

A: Let X be the random variable such that the life-length of the battery producer company fabricates.…

Q: 2- find ow/ar if w = (x + y + z)², y = cos(r + s), at the point (r, s)=(1, -1) x = r - S, z = sin(r…

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Q: What is f 2sm z cos e sin x dæ? 2sin z +C In 2. 2sin z +C In 2 2cos z +C O A. O B. In 2 20os z +C D.…

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: -W : By the same way, prove that g Z sinWo sinw.k Z -27 cus Wo +1

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Q: F ind the oua gohenegion Aounded ky メ=y,メ=13-が 2 x=18-y (0,9) てっ (,) Une borizontal ilement to firid…

A: The area of the region can be calculated using the formula , where is the curve of the first…

Q: Ở. verify that y10) is a constont soluion b. Find all Solurions to DE C. Find two dirrerent…

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Q: Show that F(n fla)] ds pleae do it frast

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Q: Hiw Prove that c=z²,'s coutinuous at z=z. O prove that: if Z#Z0 is dis continnity at Z=Zo, where 2o

A: (1) Calculate the RHL and LHL for the function f(z).…

Q: 2- find Ow/ar if w = (x + y + z)?, z = sin(r + s) y = cos(r + s), at the point (r, s)=(1, -1) X = r…

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Q: Fird the Aren of the Reyion c2-9 cos In teriur of (2€)

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Q: The DE : y = e-/Y is seperable Select one: O True O False on

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Q: :Find the Value af the integral COs Z d2 2(Z-7) 121=1 2. 22+1 COS Z JZ 3. 121=1 z (2-3)

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: temperature distribution u(x,t), follow the partial differential equationdudt = d2udx2   ,…

Q: 1. z, =1-j2 and Z,=2+j3; Evaluate cos[Z,J?

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: -Skatch the reglén of Etyndtion , reversed the order of itegral and evaluade dx dy 7 | +

A: We have to sketch and after changing the order of integration evaluate it.

Q: 2) al X,X2 =) y = Xi~ ? ,-,Xn ~lid exporen tíal ( 100 b) Xq, X2,--- Xn~ iid N(44i44)= ビ- ~? i=1 %3D…

A: Solution : a) Given : xi  ~ exp ( 44100 )   ; i = 1,2,3,...,n ∴ θ = 0.44     Y    = ∑1n Xi It is…

Q: dn-1 for allneZ with n2 2. Prove that for al Let di = 2, and dn ne N, d, =. %3D %3D %3D

A: Since you asked to solve for multiple questions. But according to guidelines we will solve the first…

Q: D. Use the Wronskian to detcrminc whether or not the vcctors arc independent or not (the answer for…

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Q: (c) Integrate sin"uelog (cosu) . Where n is 482

A: Integrate the sinnuelog(cosu). Where n=482

Q: (a) Evaluate where c is z = 1 %3D c cos(Tz)

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Q: 14 Jlgull s(e)= f(2) =Re z is continuous ylgn O Ihs O

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Q: Classify the Stries as nbsolurehy linvergen ti Condibinally lonvergent, divergent 18 K Sin

A: First we  recall some definition-1)  p-test for convergence of series ∑k=1∞1(ak±b)p :     A series…

Q: consider the curue desoribed by 2y"-x²_4y vevity that the foint (4-25 les on this o8 wrE andd find…

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Q: 2. %3D be Centered in a batt co,ogo) andradies I 2. frove thet S-273R

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Q: Consider the formula A = Vx Vy.p(x,y) ^ ¬q(x, y). (b) Show that A is falsifiable (i.e. not valid) by…

A: We are given a formula as : A≡∀x∀y.p(x,y)∧¬q(x,y) We need to show that A is falsifiable by giving an…

Q: Proue that || A|1maπi <j <n 1 Σajl . m

A: In the given question we have to prove that   A1 = max1≤j≤n{∑i=1maij}                         (1)the…

Q: 1)the f a) 3 cosh z b) 0 c) in d) n -dz by using the residues is equal to

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Q: which method/s will help integrate this? SELECT ALL APPLICA A) u-sub with u = tan(z) B) / tan*" (=)…

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Q: -H.. OProve that fcz) =z²,s coutinuous at z=z, O prove that: if Z#20 is dis continnity at Z=Zo,…

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Q: Use Green's theorem to evaluate s cy? oy)dx + (y²rlo4") dy where Cis s hoon belbw, N y = 2-x² G,1)

A: The given path contains 4 curves: C1:  from (1, 1)  to  (-1, 1)C2:  from (-1, 1)  to  (-1, -2)C3:…

Q: 21. xª sen z dz -z' cos z + 3z² sen z + 6z cos z 6 sen z + C %3D

A: see below the answer

Q: (2,2) b) Evaluate o x*y dx + x dy, shown in adjacent figure using green's theorem. where c is…

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Q: D. If z = In(x – y) + tan(x + y), show that Z = Z y XX

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Q: 7. Prove that the SolutmM of y + y = o is B sinx (hint y= Xu) by using Bessel's Functron definstian…

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Q: let A and B be matiices of Con det A) = -1 find the Valué of Cdet(z AT) - dct(-2B )) LA Pproxi mate…

A: Given:- det(A) =-1/2   ,  det(B) =2/3 To find:- [det(AT/5) -det(-2B-1)]2

Q: Ex: © Suppise that the fuowing trausfruntiun Cowneciğa the (I') and (xi) coarduate رک سهاور؟ てス4ス)…

A: Given  x¯1=ex1+x2x¯2=ex1-x2 Required Jacobian is…

Q: Show that J, (z cos0)d0 = - R/2 os e)de = 1-cos z %3D 21

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Q: 1 (aw C. Ifw=f(x.y) and x=1. coso, y=. sino. Prove that

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Q: Step by step explanation how to solve this problem.

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Q: Prave by indretion ŽKczkt) z on n that for all integens aoenzl, 2.

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Q: please solve this question

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