32 Let w be the Subsfaced SRanned by U, and Uz andwrite a veder orthe nonal te W Y as the Sum at a vecter in W and y3= -3. Uz 3 -1 y=4+2,where y= is orthonanal to w. The Sum is is in w and

Q: Giveni SP bisects <RSV meRST =2x+3y のTSV= 3xーシ+2 m2RSV =8D find: x and

A:

Q: Find paromet ric aquation of Line L where to paiut A(Xmiya) is and

A:

Q: Prove that the sum of (") where i is from 0 to n is 2".

A: According to the binomial theorem, 1+xn=n0x0+n1x1+n2x2+⋯+nnxn……1

Q: Q.1B) If w = f(u,v) where u = tan"12 &v=In(x² + y²), the show that: dw Х- +- дх дw dw <-2- ду ду

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 7. Let B be the unit ball. Evaluate dxdydz √2+x²+y²+z²* Show the work!

A: We have to find the value of ∫∫∫Bdxdydz2+x2+y2+z2, where B is an unit ball.

Q: Let a,b,c eZ. If a|b and a |c then a' |(b² =c² ). nsi2

A:

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

A:

Q: Given that w = f (u, v) And u = xz. , V = dw = X az aw aw Prove that Z - ду

A:

Q: Consider A = (x, y,z) and B = (w,x, y). If U = A U B, which set is equal to (B\A)'? Note: B\A = B-…

A: The union of set A and B is denoted by A∪B has elements both inset A and B The complement of A has…

Q: \(d\) is a metric on \(X\). Show that \(\rho : X^2 \to [0,\infty)\) defined by \[ \rho(x,y) =…

A:

Q: S 289 xe

A:

Q: Fi nd He relarive ereme values of he by f(xix)- furchon defived y3 + x3 - 3y?-x2 +6X He region…

A:

Q: Ex) Let fR R be given by frxx3D X+2 リ=× Is fa) Continuou s? justify your answer. me have.

A: The solution is given as

Q: O let X be fe VrV Finel ECX) ael E(x)

A: Note: As per guidelines we can answer only one question at a time. I request you to please repost…

Q: Let A,BE Mmna Shaw that vTAw= V' Bw for all VER™ end WEIR" if and only if LA=B. %3D

A:

Q: O Find the any le Ô be trween Hhe wer tone. (Ram! vel your answa to tuo deaimal plaie.) pa)=1+ X-ズ,…

A:

Q: Q, : which of the following are inner product on V,CR) where u=(81,Nz183) ,V=(BiB2.P3) 1) りとuvン=…

A:

Q: A S O Consi der Hhe folhning {(01), (-1,)}, B = [x]e - [;] %3D O find the fransi tion matria from B…

A:

Q: FOo=X-1 de fined 2n E- lro] show that Fis Riemenn integruhk

A:

Q: Let D={(x,y,2) : x2+y2+z?s 1600, z2 o}. Evaluate - z dv.

A:

Q: Find the coordinate vector [x]B of the vector x relative to the given basis B. 23) b1 =| b2 and B =…

A:

Q: 98 unfornly distributed the death cre CHX+h) then nen 2n+n M Prove t 2+h pmx

A: If the deaths re uniformly distributed in the interval (x,x+n) Then  qnn=2n*Mxn2+n*Mxn suppose qnn…

Q: If w=f(p, q, r), where p-z2-y², q=y²-22, and r = 22-2², show that 1 Ow x 8x + 1 8w у ду + 18w z Əz…

A: Given w=f(p,q,r)and p=x2-y2,   q=y2-z2 and r=z2-x2

Q: Let S(の= メー4x + 3 a> find The wer texc o Describe The end behavier ondgraph c) Find woe fie inc reas…

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

Q: %3D Aind the increasing and decieasing intesuals. find the relatue extrema of F tind the concave up…

A: The function is  f(x)=(2-x)1/3

Q: AT If z, y ER" satisty z) + |y|| = |r+ yll, then z 1 V O TRUE O FALSE

A: True and false.

Q: WORX Gavlen flw)=x-d g6)= V-(x-6)" WOP Mekong Delta Find the derivatve Nlx) guven

A: Given:- f(x)=x-2 g(x)=4-(x-6)2+2 h(x)=x-6 We have to find the λ'(x)=? Given that,…

Q: If z, w E C, prove that z+w=z+w.

A: This follows from simple substitution. The detailed solution is presented in step 2. As requested i…

Q: Prove that dv du 2 – u? + v² 18

A:

Q: (8) Let a and b be reel mumbers such that a>o and bo and beD is not enough to gire a uniform formula…

A: No option is correct. Correct answer will be: - arctan(b/a)

Q: Let BE Cnxn. If z" Bz = 0 for all z E C, then show that B = 0.

A: Given expression is