2, z) = 5 and the surfac e at (1,2,3). Evaluate = reasons).

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: Exercise 0.3.1: Show A\ (BOC) = (A\B)U(A\C).

A: Given;  A\(B intersection C) =(A\B) union (A\C).

Q: 9 At what point do the following lines in R³ intersect? h: (x, y, z)=(3, 1, 2) + s(1,0,2), SER 1₂:…

A: Let's find point of intersection.

Q: 5 -2 3 Which of the following could be a value for v? Suppose that - = -20 and that u = a) v = b) v…

A: Given that , u→.v→=-20 and u→=5-23, Now we have to find the value of v→.

Q: Convert the point (r, 0, z) = = 5п " 6 decimals to at least one decimal place. (x, y, z) = 1) ₁ to…

A:

Q: Find Da fx,g,2) @ (2,-10) the unit wechr n the direction A ū para llel fx vecfr <-1,4,2 ahare…

A: We will find out the required value.

Q: Given ao = 3, a₁ = 1, 0o = 11,0₁ = 3, P'o = 6 and P'₁ = 2. If we apply the quadratic interpolation…

A:

Q: 11 a) Cari nilai dy dengan nilai x yang diberikan. dx Find the value of given the value of x. de i)…

A:

Q: 4. Assume X ~ N(u, o). Recall the moment generating function of X: M(t) = eut+io?. Also recall E(X*)…

A: Given: X~ N(μ, σ)   Binomial Expansion:   a+bn=an+Cn1·an-1·b+Cn2·an-2·b2.....+bn

Q: Find the d. c. of T from definition.

A:

Q: U= {f.g, h, p, q, r,x,y,z) A={f, h, p.q.r) B={q, r, y, z) C={g, h, p.q.y} Find Cn (B'UA). Write your…

A: We are given 4 sets U,A,B,C. We have to find C intersection (B` union A). This is an elementary…

Q: What is the ALGEBRAIC RULE for REFLECTION over the line y = x? (х, у) —

A: This question is related to reflection of coordinates, We will solve it using given information.

Q: (d) Derive expressions for the variance of Bi and the variance of the least squares estimate 3…

A: Given,     The simple linear model is given by                yi=β0+β1xi+ei, i=1,....,n   and…

Q: (L[u],v ) = ( Au, v)) = (Au)"C v = u"A"C v, (u,L*[v]) = (u, A* v) = u"MA* v. (9.5) Comparing these…

A: Given: Lu,v=Au,v=AuTCv=uTATCv u,L*v=u,A*v=uTMA*v   To prove: A*=M-1ATC

Q: Hoist meihanism with a colera tion finu dis Plucement *こV1+o.256 ;PVニomis Sz3m for もこos and…

A:

Q: 18. Trangle 7(6,4, U(–4, 2, V2,-–3) is maped onto ATU'V'. a. Triangle TUV is mapped onto ATU'V…

A:

Q: У ,ーテ = ,-, + テ-テ - y = y: ij ij i. i. and (y;-y 10, – 7,) + 6, - 7) | ij ij i. ーリ-bー)+G.-) 2 2 2…

A:

Q: IF layy.z) = I, evaluate S tby,z) dv, where E = {P,O, Q) : osGS IM , %3D

A:

Q: 9. In triangle ABC, point E (5,1.5) is the circumcenter, point H (4.3, 2.3) is the incenter, and…

A: Solution:- The given triangle is  E(5,1.5) be the circumcenter of the circle. then, we have to find…

Q: 18 In(z – 3) Question 10) Find I = -dz, where C = Iz - 2 + 4i| = 4, Ccw z2 + (4 + 4i)z + 3+ 4i

A:

Q: Qzi In Vu CR) it u =(\,-1,\,-1), v = (- 2,2,-2, 2) Find iI lull and l vl)

A: Consider the given vectors as, u=1,-1,1,-1 and v=-2, 2,-2, 2 If vector u=a,b,c,d then u=a2+b2+c+d2…

Q: - ARŞT is drawn on the coordinate plane. The coordinates of R are (0, 6). The coordinates of S are…

A: We need to find the third coordinate of triangle such that the area is 6 sq units.

Q: If A' = g;a,rsys , Yi = birx, , and a;,b,j = dij. Find A' in terms of the x,

A:

Q: 10. Find the generalized Hukuhara difference u OgH v, where u = v = (1,3, 5). Does their Hukuhara…

A: Given -  u = (1, 2, 3)  v = (1, 3, 5) Generalized Hukuhara difference (gH difference) will be -

Q: Which of the following points is closest to (1,0, 1,0, 1, 1) using Hamming distance? O (1,1,1,1,1,0)…

A:

Q: 7π 4 decimals to at least one decimal place. Convert the point (r, 0, z) (x, y, z): = = 6, " to…

A:

Q: 2) al X,X2 =) y = Xi~ ? ,-,Xn ~lid exporen tíal ( 100 b) Xq, X2,--- Xn~ iid N(44i44)= ビ- ~? i=1 %3D…

A: Solution : a) Given : xi  ~ exp ( 44100 )   ; i = 1,2,3,...,n ∴ θ = 0.44     Y    = ∑1n Xi It is…

Q: Q1: if AB = i+ 4j – 2k and B is the point (5,1,3), find point A.

A: AB vector is given. AB = i +4j -2k   Creat vector AB by taking variable point A and given point B…

Q: 7- drotan G) Find des dy

A: Given a function : z=arctanxy We need to find dzdy.

Q: find Way if f cu,U) 4 - 2 u = X +y Vニy

A: 4.

Q: 5. Let f(x,y) = 3x, where 0 ≤ y ≤ x ≤ 1. Find the following. a) Cov(x,y) b) The correlation of X and…

A: (a) To find the covariance and correlation of X and Y, we need to calculate the expected values of…

Q: ) Let à = psin(4)u, + p² Ug %3D Evaluate $ Ã. dl given that L is the contour of the following…

A: Given, A→=ρsinϕup→+ρ2uϕ→ The given diagram can be drawn as,

Q: 7) reflection across y =X (х,у)-(у.х)

A:

Q: We know that z = f(ax²+by, ear). .If u = ax²+by ^ v = er fe +aeªr. And we know that dz af 2ax- Then,…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find L{t*e* } (s-3) 2 (s-3)2 1 (s-3)2 2 (s-3)3 2 (s-3)

A: We find Laplace transform of t2e3t

Q: 1. 0, dij ss, Otherwise. Tij

A: The given parameter is: