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Q: If =x+3y-z,=4xyz, w=22 -xy evabuate d(u, v,w)/ (, 2). at (1-,0).

A: We have to first find all partial derivatives.

Q: Compute Ax by dot product. 2 10 1 2 1 0 0 1 0 0 1 2 1 2 1 1 2

A:

Q: Let x = {1,2, 3, 4} and P= { {},{2,3} , {43} - っ- %3D nd

A: X=1,2,3,4P=1,2,3,4

Q: () = 2 sec(a O conon1 O pton 2

A:

Q: what happened to the 1(1-lambda) part in the first line

A: Given

Q: A tennis player makes a successful first serve 51% of the time.  If she serves 9 times, what is the…

A: Here it is given that -  Total number of serves (n) = 9 Probability of making a successful first…

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

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Q: 15, If neZ, then nº +3n +4 is even. (Try cases.) ho bn 6. If two integono

A:

Q: 3.- De la figura, calcular "a°+Bo" Bo 40° За%

A:

Q: b)Show that, 6(z, 3zy – y' and (z,y) = -+3ry are harmonie

A:

Q: of is: If f(z, y, z) = ry z' + In (z) In (y²) In (z³) then dz

A:

Q: 2)Give of a homogeneous syatem of equatians with 2 equations and 2 unknoan's. 3), Why is cury…

A: 2) Take the system of homogeneous equations            x+y=0          x+2y=0

Q: 1> =a,-4,57is to U=2,-4,5 812.Detemmine -> onthogonal

A:

Q: 2. Find the desivative ofy= Binx

A:

Q: Suppose = (4, –4, 1) and i = (3, 1, –4). Then ux v is and ひ×u is

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Q: How would ugraph fx):()'?

A:

Q: Arnold says that 25 = 3, and he uses the picture in Figure 3.30 to support his conclu- sion. What is…

A: Given that: According to Arnold reasoning:  223=45

Q: Show that |1 - (x, + x,) - (x, + x,) X,*z = (x, – ,) (x, – y2) (x2- ,)(x2 - 2) 1 -(), + x2) 1 - (y,+…

A: See the attachment

Q: A 6x 6 square is tiled by 2x 1 dominoes. Prove that it has at least one fault-line, that is, a…

A: Consider a 6×6 square which is tiled by 2×1 dominoes. Suppose the 6×6 square has no fault lines.…

Q: 81/ show that *if ve(Xジーズ) oif v=(

A:

Q: Which condition would prove AJKL ~ AXYZ?

A: Here we have to find the ratio between two sides such that the given 2 triangles will become…

Q: : Does fcz) = Continuous af cis

A: We have to solve given problem:

Q: 2) of Ec, 4" is convngend can we conclude that coch of these are comvergent: (4)

A: Given The sires is convergent then,

Q: A box has (4) balls. Choose (2) balls one by one with replacement, x is the first chosen and Y is…

A: Given information: No. of balls=4Selection=with replacementNo. of balls to be selected=2

Q: Con sider Sam ple X,, X2,.., Xg from a NC8,4). Find the Coverage Probabilit a of interval [x-2, +2].

A:

Q: Compute In(z) dr.

A:

Q: = (-10,6, –4) be in R and a be in R. Then , 36 , Let x ат — ).

A:

Q: (а, b, с, d, е, I, 8, h, 1, J А%3 {а, b, с, f, g, j} Find each of the following: В 3 {а, с, е, g,…

A: As per bartleby guideline if more than three subparts asked only first three to be answered kindly…

Q: Use linearization to approximate In(1.2).

A: we can use the following formula for approximate calculations: f(x)≈L(x)=f(a)+f′(a)(x−a). where the…

Q: 2. Prove ΣΫ; = Y 3 Prono ΓΥΠ |

A: Let X be a Random variable with a Probability density function or probability mass function f(x)…

Q: 2 Prove Ccos(n (ulx)] duc)

A:

Q: Let æ² + y² + z² = 3xyz, th = 3ryz, th

A: Given that, x2 + y2 + z2 = 3xyz We have to find (del z)/(del x).

Q: Let S,(x) = 2x³ – 3x² + 3x – 4, 0<x < 1, S,(x) = x³ + b,x² + c,x + d,1 sxs 2. Find b,, C1, d, that…

A:

Q: Prove that Z(D,) # {1} if and only if 2|n (hint: if 2|n look at ri).

A: Let us suppose, Dn=e,r,r2,..,n-1,f,rf,..,rn-1f and nis divided  by 2. Then, n2 is a integer. We see…

Q: A postulate can be proven to be true using mathematical rules. O True O False

A: True.

Q: Find the Reat teng th of sides of the triungle (AB Al4, 6,0), BL-6, 2,5) yclo, 9,5 ).

A:

Q: 12. Prove: ΔUΧΖ-Δ AUXZ AYVZ ~ Z.

A: Given: chord UXChord YVand the Center ZTo…

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: Theorem 5 there is auniqe Reul for X=2 Sit X ER

A:

Q: 81: Without evaluoting, show directly * = ? satiefy 2. %3D 2 -5

A:

Q: Find y' in y = (x³ 3x²(x²+e) x³ +3 A. y' = B. y' = C. y' = +3)(x²+e) +7x6 In (2³ + 3) +7x6 (x³ + 3)…

A: Understanding of derivative when function is there in power of any function.

Q: 4. Prove: -| s|x - y| Vx, yER

A: Solve the question number 4 as asked by the user

Q: 2) Evaluate yzdx+ xzdy + xydz where c is the line segment from (1,1,1) to (3,2, 0).

A: Given: c is a line segment joining 1, 1, 1 and 3, 2, 0. To evaluate: ∫cyzdx+xzdy+xydz

Q: qquad BC = 6x + 4BC=6x+4B, C, equals, 6, x, plus, 4, \qquad AC = 52AC=52A, C, equals, 52, and \qquad…

A: The solution for the above figure is shown below.

Q: (2, Prove that Ž (Pn+ Pn+1) hr 9=U (y+1) 27-²8 (14+ 2x=-1) y

A: What is Legendre Polynomial: Legendre polynomials are a set of complete and orthogonal polynomials…

Q: If p,q,r are prime number but p is not equal to q, then what is gcd(p,q)? What is the smallest…

A: It is given that p and q are prime numbers. Assume that gcdp, q=d. Then, d is the greatest common…

Q: Prove that √2+√5 is irritational

A:

Q: It's estimated 35% af population wll llve past aom high school seniORS, 90h bithday In a graduating…

A: Given that, n=753,p=0.035 The values of mean and standard deviation are, (a) The probability that…

Q: new employees, two of = that are lined up in a row.- -obability that the married

A: To find:  a. The probability that the married couple will have adjacent desks. b. The probability…

Q: Let S = {2x, 1 – x, x² + x – 1,x + 1,x – 2}. Then %3D P3 P2

A: