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Q: were different. Who is correct? Justify your response. dules ignments Lacey Chris izzes 20+ 8h = 180…

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Q: Given that w= f (x,u,v),u= g(x, v, y) and v=h(x, y). = f„8, + f,h, + f„g,h, ôy Show that

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Q: y(u² + 2)du + (u + u)dy = 0 %3D Ou'y? = C(u² – 1) Ou²y* = C(u² – 1) Ou²y* = C(u² + 1) Ou'y? = C(u² +…

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Q: Under what conditions on u and v is II u + vII m = llull m + llvll m? Explain your answer.

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Q: Provet hatt hemi ni mu mr adi usvect oroft hecurve b = 1i sofl engt ha+b y

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Q: If w= Xze' y=va²–x² , z=Sirx, then ( dw is

A: we will derivative by using chain rule

Q: af (x, y) = 7xy, and (a, y) af 2s Assume that w =ƒ( 8ts², dw dw and ds Find dw dw ds ||

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Q: --Let f(x, y, z) = x²y z +2ye²+7, find Se Əx = ? af =? ду =? axdz

A: f(x,y,z) = x2yz +2yez +7 df/dx = 2xyz  df/dy = x2z + 2ez df/dz = x2y +2yez d2f/dxdz = 2xy

Q: If|u|= 3 and|v|= 6, find|u×v|and whether u×v points into or out of the page.

A: If|u|= 3 and|v|= 6, find|u×v|and whether u×v points into or out of the page.

Q: Assume that u v = 6, ||u|| = 3, and ||v|| = 2. What is the value of 6u· (4u – 4v)? -

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Q: Given that RT E WX, which statement must be true? O RT + TW = WX + TW RT = 2(RX) %D O WX = 2(RX) %3D…

A: It is given that :  RT ≅WX¯ Since RT and WX are congruent we can say that they are equal in length…

Q: dz If z(x, y) = x²y, æ = 4, and y = u³ v², find du

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Q: x then ux is XX If u = V y %3D

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Q: Solve min udr, subject to u(0) = 0, u(1) = 1, ur'dr = c %3D =C.

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Q: If →               →       v = (x, y), || v || = 4, and →           w = (−2x, −2y), then →…

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Q: A particie moves arding tea lw of matian n, a, where maured in eonde andin feet. an aneer den nat…

A: Note: As per the guidelines we are supposed to answer only the first three sub-parts. Kindly repost…

Q: 13. Given u = and v = , find: a) u + v b) 2u - v c) Ju|

A: Given that u= <-3, 5> and v=<4, -7>   a) u+v = <-3, 5> + <4, -7> = <-3+4,…

Q: If u = cot ди then x x- y

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Q: ate f(c(t)) and ds = ||c'(t)|| i te Sc ƒ(x,y, z) ds.

A: Introduction: A line integral is a type of integral in calculus in which the function to be…

Q: 4. Which would not be sufficient to prove AWXZ ~ AWYX? C ZWXZ = ZY WZ A WX XW %D YW XY WZ XZ WX Y WX…

A: In both the triangles angle W is common so for similarity using SAS property:  WZWX=WXWY OR…

Q: Refer a neither. or Q R U T. W 1. PQ and RS 2. UV and TW 3. RW and vW 4. PU and TU

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: 18. Given: ZS and ZV R are right angles. RT = UW. mZT= mZW Prove: ARST=AUVW V

A: Given: ∠S and ∠V are right angles RT=UW m∠T=m∠W   To prove: ∆RST≅∆UVW

Q: Q fad h oliverlioual destvahiee M di V at a pauit 12,2) h diveehion IHo the M t neal

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Q: Given f(r, y) = e*" (ry + y), show that faa (x, y) – yfa(x, y) = y²e"Y.

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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: If u = (u, uz) and v = (V1, V2), how do you find u + v?

A: Given: u=(u1,u2)v=(v1,v2)

Q: ZEGO = LEOG ET = EQ O PQ = 2(GO) TW = ÷GO ZEPQ = LEWT WE = GE

A: Useing the triangle property

Q: a2u 1 du 1 a?u = 0, ar? r dr (r,0) = 0, u(r,t)= 0, 0 <rsland u(1,0) = 0 pour 0ses %3D

A: Given,                  ∂2u∂r2+1r∂u∂r+1r2∂2u∂θ2=0                             (1)with u(r,0)=0,…

Q: If VW = -2z + 29, UX = z + 9, and ST = z + 13, what is UX? %3D V U UX w/ ト

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Q: Determine Dariuior souHon 2y"+ Sy't 3y •0 : y(O) = 3 , y'C6) •z

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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: 4) Given: WX || YZ,WX = YZ Prove: AWXZ = AYZX W. Thoughts:

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Q: (6) If w = f(u, v), where u = x + y and v = x – y, show that = 2 ди

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Q: 1. ztas o ubenx y 2. xdy – ydx = x²dy

A: Follow the procedure given below.

Q: find az and dz if uv u=1+St, v= S? ta

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Q: 7. AQ = 10, QB = 6, QD 15. Find CQ. CQ : %3D %3D C VB A Your answer

A: The explanation of answer as follows

Q: Which rec tor lield s are not conservative %3D O F(ay)= (3x² - 4 y 4y=-2x> r.

A: Note : As per authoring guidelines, when multiple subparts are posted, then only first three…

Q: One of the statements below is False.  Which is it:  a, b, c, or  d ? a)  d/dt (t⋅2t) =…

A: We need to find which of the given statement is False. So we will solve each statement and match…

Q: p(x, y) 3/24 2/24 1/24 1 2/24 5/24 2/24 2 6/24 1/24 2/24 Е(X), Е(Y), H(X), н(Y, НХ Ү), аnd HIX, Y)

A: It is an important part of statistics. It is widely used. Since the question has multiple sub parts…

Q: (2wv – tan w) du + (v² - v sec? w) dw = 0 %3D C = yv+w tan v Option 3 O None of the choices C = yv –…

A: Given differential equation is solve by exact method

Q: Determine C if u=v=O (20 — 5и + 3)dv — (20 + 4и — 6)dи %3D 0 -

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Q: If z=xe^y,x=u^3+v^3,y=u^3−v^3, find ∂z/∂u and ∂z/∂v.   ∂z/∂u=

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Q: b(A, B) = tr(AB), where V = M2 (R) and A, B E V. b(p, q) = p(0)q(0) +p'(0)q'(0) + p" (0)ď"(0), where…

A: This is a problem of inner product space.

Q: If f(x, y) = e + e", then .Vf(x, y) = (0, e') :Select one TrueO False

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Q: Given: r || s, s || t 4. Prove: 17 97 10 7. 8. 11 12

A: Given, r∥s , s∥tthenr∥s∥t To prove &lt;6 = &lt;7

Q: Question dz If z(x, y) = x²y, x = ", and y = u'v², find

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Q: If RX 16, XS 8, and XY 15, then ST %3D

A: A triangle RST with XY parallel ST

Q: E _2. ZNLT is congruent to A. ZLNT B. ZNLT С. ZTEG D. ZEGT _3. Which side is corresponding to ET? A.…

A: Given query is to find the correct option for the angles.

Q: ind r'(t),r''(t),andr'(t) · r''(t). r(t) = (t2 + 4t)i − 8t2j

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