Show that a fomws with R>o Ssee igue] may be descuibed panometuicaly by u cU,N] Cosu, (R+ o COSU)sinv, Ysinu> . Fou OEUE 2M, <(Rt x COSU)

Q: 2. Prove: cot2x - csc²x = -1 %3D

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Q: Find the Leplace bransform. of Hhe fure tion ESinut octca to biven that

A: Laplace transform of periodic function: The Laplace transform of a periodic function f(t) of period…

Q: Discuss the Singulazities and Poles of fiz) = zéSinz (z-2) (zこいこょうと+ら)(2t (こか) +4

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Q: 2 Use the figure to identify all angles between 0 and 2n satisfying the condition csc (0) = -- V3…

A: Given that, There is a figure in which angles are pointed and cosec θ=-23 We have to find the value…

Q: E valugte the cube raot of z when 2=27 Cis(210) ( Let 0s GS360°) Smallost ☺ ualus) targonst ualue).

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Compote clerivative bao fx)= cot(x), x=0.8 flx)=cot(x, %3D fl0.8) =

A: We use basic inverse trigonometric identity.

Q: O REDMI NOTE 9S Solve the disserential equat ilon with disscussion of Soluiton? x4-y=4²XLincx) %3D

A: Given differential equation is xy'-y=y2×lnx.

Q: is con hinuous neither in the in ter val [o,3], piecewise Determine if the funchion continu ous 3-t,…

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Q: 18, then Ku = 3 and µ4 Af U2 %3D %3D Select one: O Platy O symmetric O Lepto O Meso

A: Solution-: Given: We find

Q: Describe the interual(s) on which the funchion is continous. %3D XA

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Q: Find the projesiin Fisi+2j intro - Scaher componet

A: The vector equation is F=5i+2j. The vector equation is v=i-3j

Q: 2. Use Cauchy- show that each of these funedioca is. nowhere analati -Rlemman.cqmtione to bfi27=2xyi

A: Nowhere Analytic functions

Q: Verify that He follow egunbin is an ielartiky Fan o -sino 2 tano

A: We will use various trigonometric formulas to answer this

Q: cosulen Dhe probubily densty functren OTherwise which randen werclde Xfellews Find pobebility Tht

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Q: (a) Yuanyuan determines that OS and OR are [Select all that apply]: Multiple selection advice: In a…

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Q: we divesgencatheosem to evaluate + XzK. dA cohose sisthe boundasy of cube definedd by

A: By divergence theorem we convert the given surface integral to the volume integral, and the region…

Q: If Z= cos20+isin 20 prove that = sec² 0 %3D (Z +1)

A: We have to prove L.H.S = R.H.S

Q: 7. two circles with areas 2T cm2 and 200T cm2 uoluos ofra

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Q: Let Z, = 2 cis 30° = 3elli %3D Z = In (1 + i) %3D If Z = Z,Z, + Z, Find Z].

A: From the given information. Write the complex numbers Z1, Z2 and Z3.

Q: what oddonal tormotion do you need in order to conclude thot Xso (Select all that apply) midegment…

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Q: An electromagnetic wave does require a medium to travel. O True O False

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Q: Prove the adentities. tano+ coto 1+ secolcsc 4-Cote I-tane

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Q: When using Simpson's rule we must having two distinct point Select one: O True O False

A: Simpson's rule is used to calculate the value of definite integral by approximating area of the cure…

Q: (b) Compute r if: arctan r + arctan 1 = 2 ( arctan z arctan

A: tan-1x+tan-11=2tan-1x-tan-113

Q: Dyani wrote a proof to show that ZXWY ZYZX. What is her error? Since ZWXZ LZYW, LXZW LYWZ, and XW…

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Q: Conotrut a onatn'x whode Columu 8pure (leli2) & whole cli5) 10 is spanned by now &pale in Bpanned by

A: Column space is spanned by 3-dimensional vector. Row space is spanned by 2-dimensional vector.…

Q: (o, 1,) 1. find th directional denivatve in the dire chons of at 2 Gve inter pretahon of amp uted…

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Q: et X~U([-, 1) and let y = tan(r), show that y Cauchy(0, 1)

A: # using Jacobian transformation we have proved that y=tanx follow Cauchy distribution (0, 1)

Q: Prove:- The defect of a triangle in (RG) is an area function.

A: In Euclidean Geometry, the area of a triangle is calculated by multiplying the length of any side…

Q: On cogely the r y Mesiduer to Cualiete Calular (os node

A: Using the Residue theorem these types of questions can be solved by integration around the unit…

Q: Prove that $lax) =se³ is Cont. on ts don

A: Given: fx = x3 and δ≤1 To prove: f is continuous on its domain.

Q: 5. Use De Moivre's Theorem to evaluate (1 – V3i)%.

A: Demoivre's Theorem

Q: Find and when (TU – V)² In(W – UV) = In(2) at the point (T, U, V, W) = (1, 1, 2, 4).

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Q: Find the solution of the differenhal equahon not Sothsfes the given inital condiion dP at

A: Given.The differential equation is

Q: Let f lany) prove that' flany) di f feren tiable I5 not point lo,0) .

A: Let the function be fx,y=xy Note:  [ We can say that f is differentiable at (a,b) if f is…

Q: Solve the Laploce equatrons for the ondi tions flx) funciong given boundery and b elow Con dibion…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: normed spore) is contimous Segpeue HEX. d:x--X(when x is a nome -> i.e

A: Given that X is a normed space The given function is continuous. Now take a sequence xn. Assume that…

Q: 3) Prove There exists a real nubrsSo Surh thot

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Q: Ju 20²u c² of2 (r, t) = u(x,0) = 0, ut(x,0) = 0 u(0,t) = 0 u(1,t) = 0. da2(x, t) + XX , 00,

A: Introduction: The basic method to solve a partial differential equation is the method of separation…

Q: 2 la), Pu (aw by Re currence relation

A: We have to find out P2(x) and P4(x) by recurrence relation. We know that the generating function…

Q: true or false without justify The sel { 1,2,t, 3,,4,+, csx, coss is mot Ti Bomded in (CToi], Ul6)…

A: True.

Q: 9 Find the lies which degion bounded and area in in first eyuadrant 12-axis by Jine V= n=770 Give…

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Q: f Shoo that the interior operat1on has the tollouni ng Propeities. if E, CE2, then interier (E) C…

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Q: 7. Use Green's Theorem (and no other method) to show that the area of the triangle with vertices…

A: Greens theorem

Q: About proportionsIf a/b = c/d and r/s = m/n , form a single proportion involving the eight…

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

Q: Dyani wrote a proof to show that ZXWY ZYZX. What is her error? Since ZWXZ LZYW, ZXZW LYWZ, and XW…

A: Explanation of the answer is as follows

Q: 8. Given: ON bisects LJOH, LJ = LH Prove: JN = HN JNH

A: here, in given ∆OJN and ∆OHN ∠JON=∠HON                                      ∵ ON bisect ∠JOH∠J=∠H…

Q: 3 tari' (xty) , Prane that x2+ ydz Sen 2z be

A: We have z=tan-1x+yx-y This implies tanz=x+yx-y Let u=tanz Then we first need to find the degree of…

Q: Explain the fundamental theorem of albenra?

A: To explain: Fundamental theorem of Algebra