Example: Let R = {(u, v)|1 ≤ u ≤ 2,2 ≤ v ≤ 4} be the region S trans- formed by T(u, v) = (u², u + v). Evaluate 11₂ ₁ x + y dA.

Q: p) Classify the following models as ARIMA(p,d,q). i) (1-B)x, = (1-0.3B),. ii) (1-0.5B+0.25B²)Vx, =…

A: ARIMA means auto regressive integrated moving average, It ia also written in the forn ARIMA(p,d,q)

Q: Let T:R → R³be a linear transrormation defined by T(x,y,z)= (x+2y-z,y+z,x+y-2 then dimension of…

A:

Q: Sara draws the 4 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A: Given, Sara draws the 4 of hearts from a standard deck of 52 cards without replacing. a) we know…

Q: Let X=ℝ2 and define d,:ℝ2×ℝ2→ℝ d2((x1 ,y1),(x2,y)2)) = max{|x1 - x2|,|y1 - y2|}. Draw the…

A:

Q: 4. (a) Let A € R² be open and let f: AR be C². Let (a, b) A and suppose the rectangle R= [a, a +h] x…

A: (a) Since f, using Mean value theroem w.r.t. x for two variables there exists a pR such that f(a +…

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: Let u, EC prove that ū · v = v · ū น

A:

Q: Let u € C³, v C4, A = uv". Show that rank(A) ≤ 1.

A: This is consequence of one of the famous rank theorems. Theorem:For any two general matrices P and…

Q: 6. Let R be the region in the xy-plane bounded by the curves y = x2 and y = 8 – x². Sketch this…

A: Given: The curves y=x2 and y=8-x2. Calculation: Use an online graphing calculator and sketch the…

Q: Q. Let (X, B(R), µ) be a Borel measure space. If AnB=¢, BnC = 0, u(AnC) = 0. Determine µ(AUBUC).

A: Measure theory

Q: A new flag pole for a school campus measured 25 2/3 feet. It was put 4 1/2 feet into the ground and…

A:

Q: Prove that if Y:nz+P(x- mz) So thdz

A:

Q: 5. If r = (r, (x, y, z) and ro = (xo, Yo, 20), describe precisely the set of all points (r, y, z)…

A: We plug the given values in the given equation and simplify

Q: Let the joint p.m.f. of X and Y be defined by 3x + y 45 f(x, y) = x = 1,2,3 y = 1,2 a) Find fx(r),…

A:

Q: as Let ĝ +sinh (z?) - ji = 27 where w=f (x,y,2)- %3D Find 2 nd JW and au

A: In the given question we have to find the partial derivatives of with respect to x ,y and z. here we…

Q: Let X, Y subset U. Suppose that n(X)= 22, n(Y)= 20, and n(X intersect Y)= 16. How many elements are…

A: Let X,Y be subsets of U.  nX=22 , nY=20 and nX∩Y=16 It is given that nU=40. Find nX'∪Y:

Q: / (sec. sec u tan u -1) du

A:

Q: of at (x, y, z) = (2, 3, 4). ay Let f(x, y, z) = (x + y)z. Evaluate

A: Given :fx,y,z = x+yz

Q: Compute F. Oszs V1-x2 –y? Let E be the hemisphere described by and F=Vz2 + x² +y² i + Vz² + x² + y²…

A: By Gauss divergence theorem:∬∂EF·nds=∭Ediv(F)dvhere givenF=x2+y2+z2( i^+j^ +k^…

Q: Evaluate Sff8e(2²+y²+z²)³/² dV over B where B = {(x, y, z) : x² + y² + z² ≤ 1}. Take π = 3. Türkçe:…

A:

Q: 43. Let g(u, v) = f(u³ – v³, v³ – u³). Prove that ,2 dg av ди

A:

Q: Let X and Y be iid N(1,3). Let U = 4X + Y and V V_dependent or independent? Justify your answer. 2X…

A: Given X  and Y be iid with N(1,3). Mean, μ=1 Standard deviation, σ=3  U = 4X + Y and V = 2X — 3Y

Q: Q4. Let A E Rnxm, n ≥ m. a) Use the SVD of A to deduce the SVD of ATA. b) If m = n and A is…

A: Given: The given expression is, A∈ℝn×m , n≥m a) To use the SVD of A to deduce the SVD of ATA b) To…

Q: . Let u = [1, 7, 4]), v = [1,5, 5), and w [35, 25, 20]. Find the critical point of f(x, y) = (x · u…

A:

Q: If u = x²zî + yz?j – xyk and 0 = x²yz then find the value of u. (To)

A: Consider a function fx,y,z. The gradient of the function can be defined as, ∇→f=∂f∂xi^+∂f∂yj^+∂f∂zk^…

Q: 3. Let V = 6xy?z³ + 5 In(x² + y? + 3z²)V in free space. Evaluate each of the following quantities at…

A: Note: according to our guidelines we can answer only first three subparts

Q: ndwritten please Rew

A: Introduction: A Boundary price drawback may be a system of normal differential equations with…

Q: d) If U = X + Y and V = Y – X, find i) The Jacobian value of U and V J(U,V)

A: Solution

Q: = [[ F - a5, I = S F = î4æz – jy² + kyz 1

A:

Q: Let f(r, y) = In (z³y) (1,3) = 3. then Select one: O True O False

A:

Q: 3. Let R= {(x, y) : x² + y² 0, y > 0}. Evaluate // Vz? + y² dA x2 +y? dA R

A: using polar coordinates x=rcos(θ)y=rsin(θ)x2+y2=r2,dA=r drdθ

Q: ∠S and ∠Y congruent or supplementary

A: Given,           To find ∠S and ∠Y congruent or supplementary.

Q: find if w= fcusu)ou=X+y Wxy xy Express the of u,v, fu , fv V= an Swer interns

A: Solve the following

Q: For the functions w =xy + yz + xz, x = 3u + v, y= 3u - v, and z = uv, express , and , using the…

A: Here, w=xy+yz+xzx=3u+vy=3u-vz=uv

Q: Prove z = max (x,y) and z = min(x,y) are convex

A: