U Couchy - Scho If x,y & IR", then Schwarz I neaquality. Ixoy | ≤ || x || -| ||

Q: SZ Let x, y, z=R with x≤z. Show x≤ y ≤z if and only if lx-yl+ ly-z=1x-z1.

A:

Q: 84252g i find the interval of canvergence of tbe parer Senes 18

A: Radius of convergence is infinity And interval of convergence is whole real numbers.

Q: Dose the function f=2?+Z*+Z Satify Cauchy - Riemann Condition 2 a) yes , why b) No, why

A: Cauchy-Riemann's condition is given by- ∂u∂x=∂v∂y,∂u∂y=-∂v∂x where u is the real part of complex…

Q: 2)Evaluate ex dA , Ris bounded by y = x2,y = 1

A: By using Fubini's theorem we solve the given problem.

Q: Determine the global extreme values of the function on the given set without using calculus f(x, y)…

A:

Q: is The functionFIO-Vx4iscontinusus onR. It cosă

A:

Q: Let f(x, y) = (2x - y,x-2y); (x, y) E R x R, (R is set of real numbers.) %3D a) Show that f is one…

A:

Q: On what interval is In(x² + 1) concave up? くxく

A: This question is about concavity of a function

Q: of Then x y

A:

Q: 3) What is the range of the function y = -/x + 5? A) {y]y2 -5} B) {y]y> 0} C) {y]ys -5} D) {y]ys 0}

A:

Q: /| r? dr dy ; N: 1 + y < 4r, I< 2, y 2 0

A:

Q: Theorem 1 (For open convex domain). Suppose 2 is a convex open set. Let f be analytic in 2 \{a} and…

A: We can break the integrand {\displaystyle f}, as well as the differential {\displaystyle dz}…

Q: Let /: X →Y be a function, A, BC X and C, DCY. Show that: 1. f(AUB) = f(A) uf(B) 2. If AC B, then…

A:

Q: The function f (x, y) = xy satisfies Lipchitz condition on the rectangle R: x| < 3, ly| < 2. a) True…

A:

Q: Let fx) -x+ and go) - x %3D Derermine if the fanction f:R->R defined by fo) is anto fanchion Find…

A: (a) The given function is: f(x)=x3+1 The function is said to be onto if every b∈ℝ, there exists a∈ℝ,…

Q: f. Is the domain of f(x.y)= In (6x + 5y“) bounded or unbounded? O Unbounded O Bounded

A: the domain will be Unbounded because

Q: #4) What valwes of c Cif anu) are predicted by the Me an Vae Thearem for the function fex) = (x-32)o…

A: The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b] and…

Q: 5) Evaluate F dr where F(r, y) = ry i + j, , r(t) = ti+ 3t j, 1<t<4 %3D

A:

Q: Which of the following functions maps the red function (y=x)onto the image function? a) y = -x+2|…

A:

Q: Shaa thut the graf of lincs iju fins rom F from E Iwhore is a iomasphic wilh Ge(5)

A:

Q: 6. Show that the half open interval [0, 2) is uncountable. (Hint: We know that (0, 2) is uncount-…

A: Since the interval (0, 2) contains the infinite subset {1.2,1.3,1.4,...} So (0, 2) is either…

Q: 3) Evaluate X $1₂₁ + x² D = {(x, y)|0 ≤ y ≤ x², 0≤x≤ 2} dA where D=

A: The given problem is to Evaluate the given double integral over the given region D={(x,y)|…

Q: let (Riae) be aring of real numbar's andf fg Eply R. Such That f= to,,-1,22010-) F-lo-してソの (hoラ-20 )…

A:

Q: las For the folowing bunction f(u) - 2)c? -3jc +3 2)c' -3jc %3D n'-qut2 which Irunction O Find Hhe…

A:

Q: which of the following statements is for t*t, the convolution oft with t" Select one: а. S. T(t –…

A:

Q: x+Z Evaluate CSI" (x+ y + z)dx dy dz. X-Z

A:

Q: If & = {(z, y, z) | 1< * < 2, z < y < 2a, 0 < z < z +2y} then: SI. 3zz dV ニ

A:

Q: Find the absolute extrema of the function with its corresponding constrain. a) f(x, y) = 4x + 6y; x²…

A:

Q: 18. Find numbers a and b so that r+ 4, ux + b, 3r 8, x> 3 1<r 3 is continuous everywhere.

A: we need to find a=?                          b=?

Q: Q/ If the joint p.d.fof X and Y as f(x,y) = }*y (cx?y ,x2sys1 ,0. W find the value of c and P(x 2…

A:

Q: Q3/ Let X = (0,1,2,...) and T = (0) U (Un.nE N), where Un = {n, n+1,n+ 2,...), show that whether…

A:

Q: a) Where is f concave up? Circle the best response. A) (-00,d) B) (-∞,d), (e,f) С) (ас) D) (b,g) E)…

A:

Q: 3.Which of the following are continuous variables and which are discrete? a) Number of deaths from…

A: Which of the following are continuous variables and which are discrete?

Q: Find and for the functions: of Əx af ду bren 2. f(x, y) = x² − xy + y² X (x² + ² noitonut sil 4.…

A:

Q: 2.4. Let J and J be real valued functions defined on a subset of a linear space Y, and suppose that…

A: We will use basic knowledge from the theory of calculus of variations to answer this question. You…

Q: جليلة Let I = [= 1,₂1] ISR interval w that I is negligible Set.

A:

Q: Q.12. Find the value of coefficents ab ande that the fo)a -5, f'6) = -M. fou = ae-2u t bek + ocex.…

A: The solution is given as