a)-What is fof g ofh 3)? fari= gal= bprove f:R¬R fer )=4lis not Surgective and is not injective.

Q: Fnd the emnd tuber pt e dag emema bedagna ttd be dagn by the thn dent Condtion tar agnal ding y ma…

A: Diagonalization of the Matrix

Q: det (NT) is sPace Toflogecu! and T=0U{un}such that 7Show that (N, Cl is compact slase

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Q: Suppose p is true, q is true, r is true, s is false. Then (-pvs) v (SAr) is T/F? A) True

A: Given : Suppose p is true, q is true, r is true, s is false.

Q: 3)- find ahe pr patikular solustien of theditfrential equatisnx+Cx =CL given the x6)=a Ax 20 at t=o…

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Q: Ex: © Suppise that the fiowing Aransferuntin Conneclğs the lei) and (ti) coordnate Syshems; a4ス?) 2…

A: Given that, ζ=x¯1=ex1+x2x¯2=ex1-x2 To find: a) Jacobian matrix J and J-1 b) Compute J¯

Q: Let z 2ev Then: 8z 8z dy sissis

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Q: evaluate the in! integ ral if u = 16+ ex then e* V T6tex dx = ( Jü cu=(ile %3D

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

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Q: Show that : sup {reQ:r<a} =a, for each a e R. %3D

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Q: Prove: Given that ll Xllo sl1x|1, <vñ lIXloo for XEL". 2 Show that for

A: The matrix p- norm = operator norm                            ||A||p = Maxx≠0 || Ax||p||x||p…

Q: A liner tragfematin defimeed by a malrıx let IRR be a lineor tras ler malin. defneed by Tv) - Av ;…

A: I have proved Linear transformation using the definition

Q: Given the mife has betweeu so oud $ 50,000 of msurauce what ios s the ebatily probabii tū between 0…

A: The conditional probability formula is, PA|B=PA∩BPB The row totals and column totals are,   0 -…

Q: {50, lo o 1503 Sampie size : 2 (B) Population normel populetio n I Find pronability clietriletion of…

A: Sampling normal distribution

Q: Q3 Finel the Foulier Expensian of Hhe funchien delund in a Sigle Porial by he voladons. %3D |

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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: OVESTON Prove that A is inveitine if at0 and at b l Gind The pivos 9 A %3D a a

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Q: 16. Write a two column proof. Given: OSTUV U V. Prove: AVXS = AUXT T S 8.

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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: 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: 1. If r = xi + yj + zk and r = |r|, show that (i) div 0, %3D (ii) div (grad ") = n (n + 1) r" - 2…

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Q: 2. Given: KM bisects ZJKL. Prove: m22 = m23 %3D K M 3.

A: Concept- Opposite angle are same

Q: △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove…

A: Given △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1)

Q: Fin d the sc cond soluhen prr tk edo te edo If Konow that y, =x IS a solotień

A: We will reduce the order of the given given second order homogeneous differential equation using the…

Q: Aet statyested that PON fghle v wi the nest presintenS 0 v e rand ptaton of a e voen probatity tha…

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Q: (3) Determine whether The following tundions are unitermly continious. Justity your answer Ca) f:…

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Q: Qs Findl the Fauier Ex pensian of Hhe funckian deld in a gula Parul by the weladons Sule Perial by…

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Q: Let f(z, y, z) = z2 +y? + z²,z = /utv, y = /u – v, and z= uv, Find in terms of u and v.

A: we have to partial derivative with respect to u by using chain rule

Q: 27 dr = iex+ h where a, b> 0. Prove that

A: Prove that , ∫-∞∞e2xae3x+bdx=2π33a23b13

Q: Prove: For allintegers aandb, if a|b then a² |b²

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Q: O Evaluate the foll owing in tegrals: Ins 2x+y (Sinztcany) dx dy In2 e dydx JA ROSISu, Isys2

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

Q: Given. AC tisect BAD ond ACD Prove t DE CLD A Statements Reasons I. Gven 2. 3. Definition of bisecto…

A: Explanation: Given that,  AC is an angle bisector.

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: Complete the proof that AWXY AWYX. Y W Statement Reason WX WY Given ZW ZW AWXY AWYX AAS ASA CPCTC…

A: see below the answer and explanation

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: Let 54 where Xey EA a Prove That RB equivalonce ceblion on Al Determine ll Idis tinct equi valance…

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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: 28. Given: QT || RS QU Prove: RV UT Vs U R V

A: Given, QT||RS

Q: Since, F is bounded both in LOR) and in lIR), it is Latnded in LLIR) forall fe[1,0) (Prdtem 31).

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Q: 2! ODEV de venten egrimin yözyım alonını bulumz eksni etrafioda döndənuess te duçon

A: A=integration a to b y(t) x'(t) dt

Q: If ASTU AXYZ, which statements must be true? Check all that apply. OST XY YZ TU %3D 等。 SU XZ O ZS LX…

A: Two triangles are considered to be similar triangles if the corresponding angles of both the…

Q: Use the glven informatlon to prove that ARST AVUT. V Given: RT e VT ZRST ZVUT U S. Prove: A RST AVUT

A: in the given ∆RST and ∆VUTGivenRT≅VT∠RST≅∠VUTTo prove that ∆RST ≅ ∆VUT

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: Prove Vr, y E Z, if ry is even and y is odd, then r+y is odd.

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Q: pes of animals are treated by at least on r. Scott, and Dr. Baker)?

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Q: Given: ZYLF = ZFRY, RFY AFY Prove: AFRY= AFLY Y L State ment Reason 1. ZYLF 4FRY 2. ZRFY = AFY 3. FY…

A: We have to find reasons

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

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