af Find ar ar and ax' ay az 38 Ах, у, 2) x² + yZ + z? af ax ar ay af az

Q: vdor (2,1,3) be the {1,)1), (1, 2, >).(O, 1, 0)1 be the {ll,),l), (1, 2,3).CO,1, 0)) linear…

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Q: 3. RT = 22 and US = 18 VT = UV = S RS = %3D U T.

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

A: We use basic inverse trigonometric identity.

Q: Show that the Vingof CamPlex humbers Cf+so) Can be imbealaling inaring of 2x2 matvices (Mzns

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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: Verify that det A = det B + det C, where Uj + vj U2 + v2 Uz + V3 A = A22 аз1 A32 --EE-E: A12 A22 V2…

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Q: H.w, Consi dev The Syofem by and Gass Jorelau 3メ-23+る =25 メ+33-2るー2 ux- 5y - =31

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Q: Assume X, Y CU. Prove that (U \ X) U (U \ Y) = U \ (X n Y)

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Q: 7. Show for y = u.v that y"= uv"' + 3u' v'" + 3u" v' + u''' v.

A: The detailed solution is as follows below:

Q: .3 , Ry* In y dy

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Q: A = Acosx + Bsinx + 1 and B = -Asinx + Bcosx Then, what is the A, B ?

A: The detailed solution is given below  Thank you

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

A: Sampling normal distribution

Q: aj = %3D a2 = %3D az = %3D a4 %3D

A: n=1 =>a2= -2a1+9 = -2(-4) +9 = 17 n=2 =>a3= -2a2+9 = -2(17) +9 = 9-34=-25 n=3 =>a4= -2a3+9…

Q: Express Ve (S,3,4) is TR al a Mneas com Cogot der the aut

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Q: 1. P+Q, -Q v -P 2. P, (P v Q) v P 3. Pv Q, P --> Q, -Q^ -P 4. -P-->-Q, Q-->P

A: This is a multipart question having more than 1 interrelated subparts. As per company policy, we…

Q: 2), Compute SE. di where Fュく-,) C is s shown

A: The general form of a vector valued function in three dimensions is given by F→=F1,F2, where F1 and…

Q: defined by ф Kerф %3D (1,-1] Kerø = {i,-i} Kero = {i,1} Kerф %3D (1,-1,1, -)

A: Option (d) is correct.

Q: af (8,9). Let f(x,y)=x?y*. Find ду

A: We are given: f(x,y)=x2y4 ⇒∂f∂y=x24y3=4x2y3

Q: Show that if Y = ax + b (a = 0), then Corr(X, Y) = +1 or -1. We know Cov(X, Y) = Cov x, ])--)-I + b…

A: We need to show that, If Y=aX+b then Corr(X,Y)= +1 or -1

Q: If x,+iy, =x,+ iy, then x =y, 1

A: Given there are two complex numbers. They are x1+iy1 and x2+iy2. And it is given that x1+iy1=x2+iy2.…

Q: et A be 4X4r nas non-brivial . -son-

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Q: 43 If uzzt+y+z , u?v =y+z,u³w=z, Show that a (x,4,z)

A: Q3. Here, u=x+y+zand,u2v=y+z⇒v=y+zu2=y+z(x+y+z)2and,u3w=z⇒w=zu3=z(x+y+z)3

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: 4. Show that (1) SST = Cu – 9)* = vy - ng = v (1. -) (2) sSR= Em – )* = ³ X'y – ng° = v ( H - )v (3)…

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

Q: 20. Let -(). -- (). (). u = w = If au + yv = w. (x, y E R), then a - y = (A) 2/3 (В) —3/2 (C) 3/2…

A: To find  The value of x-y

Q: Show that if x,y∈Z and 3|x^2+y^2 then   3|x or 3|y

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

Q: 11. Given u %3D 2 + 3і, v %3D 1 — 2і, w - -3— бі, find lu +vi. и+2v, и — Зу + 2w, uv, uvw, lu/vl.…

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

Q: 1) State the name of the law used in the identity: i. -(-p^q) V T=T ii. TV¬(¬p^q) =¬(¬p^q) V T, iii.…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: prove that dv v 21/12 الله duz 2 2

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Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y4…

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Q: Subst ), we nave > Zn-h 1 kn+1 h=1 = ) kin-1 Vn | 2 EWn-p 1 = Vn-1. kn p=1 Vn+1 Wn - H Hence, we see…

A: given equation (5) wn+1-μ∑p=01wn-p=∑h=12zn-hzn-ε  and  zn+1-ε∑h=01zn-h=∑p=12wn-pwn-μ also equation…

Q: Let V, 3 V3 = Vz= -3 8. %3D 131 2- -5 does { Vi,UeiVa} span R3?

A: Given vectors, v1 = 06-2 , v2 = 0-38 and v3 = 4-1-5 These vectors will span ℝ3 if they are linearly…

Q: noger whare : y's Fl7. ) Homogencus writter us Example 2: y'- 3yay %3D

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Q: mTQ mOR U 44 mTS T. 25 S. MSOR MRQT %3D

A: Topic:- geometry

Q: 4) Let (an) be anumsenical seguence sveh that lin u"4, Then the nadius of Comvergonce of the beries…

A: The given series is: ∑n=0∞7an2xn. We will use the root test to find the radius of convergence.

Q: prove in words: If {X, Y, Z} ` A ∧ ¬A, then {Y, Z} ` ¬X ` = derivability

A: Use the deduction theorem: Deduction theorem states that, If ┌ A⊦B then ┌⊦ A→B

Q: Derive pz, 192. sjt9z, Hz(t), ez, čr: directly , if X ~ U (0, w) with r = 20, n = 30, w = 100. %3D

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: Question #30

A: Note: Some of the basic calculations are directly written due to the question being very lengthy. We…

Q: what ase the Coor dinatos of the Ha reflectiaw across yーメ imonge k (-S,-2), AL-4,'), ico,-),J…

A: Given point is : k-5,-2A-4,1i0,-1J-2,-24  To find the reflection of point about y=x

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: Uyy=4Uxx , U(0,y)=U(5,y)=U(x,0)=0 Uy(x,0)=3sin(2pi x)x)-2sin(5pi x), y>0

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Q: State the postulate or theorem that justifies the statement. 1/2 3/4 7. 23 = L7 8. 23 = L6 5/6 7/8…

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Q: vsin ax (02+4)4= sin x is the fun ction with y %3D

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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: 16 Find Ehe eract length of Ene eurve, /2 x= e- 4E, y= Re O<6< 2

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Q: 7 In the figure MN | OP and ZOST= 73°. %3D Find the measure of ZMTS and ZSTN. M T 73° R. P. A ZMTS…

A: We have to find the angel