which of the which Determine the following sets are convex in the xy-plane (a.) {(x,y); x²+y2 <2} (ط) {(x,y): xy ≤1 } (c) {(xy): 230,y?0? (d) {(x,y): √x²+ √y] <2}

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Q: Let G = S3, the symmetric group on 3 letters. Show that K(X,Y) KG - (X21, YX XY², Y³ —– 1) ' -…

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Q: Refer to page 18 for solving a second-order linear non-homogeneous differential equation.…

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A: Question: Is Z3​×Z3​ cyclic? Explain.To answer this question, we need to understand the structure of…

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A: This report presents a linear programming (LP) model for optimizing the production of two electronic…

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Q: Consider U5 C Z5 Create a Caley table (or multiplication table) for U5 with respect to X5

A: Task i: Create an Ishikawa (Fishbone) Diagram A root cause problem can be solved using an Ishikawa…

Q: Solve for both

A: Let's calculate the present value of the given annuity step by step.Annuity Details:- $2000 due at…

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A: The spring constant must be at least: 0.91N/m

Q: Find the nullity of T, if a. T: R6 R3 and rank(T) = 3. b. T: P4P4 and rank(T) = 3. C. T: M3×2 d. TR…

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Q: 2. Let V be a vector space over F, and let U and W be subspaces of V. The sum of U and W, denoted by…

A: We prove that U + W = {u + w: u ∈ U, w ∈ W} is a subspace of V by verifying the following three…

Q: Use Cramer's rule to solve the system of equations Ax 2 10 A = -301 0 12 -3 == b, where

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Q: ①(a) Let rεR, o≤r<1. Prove directly from defintions. 2 = r ++²+3+... that the series r = 1 is…

A: This implies that H→∞H→∞, so the harmonic series diverges. The series is absolutely convergent.

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A: Solution (a): The profit function of the company is given by P(n)=R(n)−C(n)=10n−100×230n​​Solution…

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Q: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use Artificial…

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Q: Give example of a group G and a subset H of G such that g¯¹hg Є H, Vg Є G and Vh ЄH but H is not a…

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A: To factor the quadratic expression  36x2−48x+16, we will follow a systematic process. ### Step 1:…

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A: Let's solve the problem step-by-step:Problem Statement Recap: given that inner product space…

Q: Find the general solutions of the system. -11 0 0 x' = 18-5 4 X -27-9-17

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Q: Suppose R and S are two equivalence relations on a set A. Prove that ROS is also an equivalence…

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Q: Compute fourier sine coefficent Bn.  I attached my working for this problem, is it correct?

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Q: Consider the differential equation y' = - 4xy with initial condition y(0) = 1.9. Recall that…

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Q: Let x and y be functions of t. Find the general solution of the system of equations below by first…

A: 7.Direction Field and Solution Curves: I'll compute and generate the direction field and solution…

Q: Find the rank of matrix below 1 2 a. A = -43 6 1 1 20 b. B= -1 4 1 0 1 3 1 3 -2 4 c. C = 0 1 -1 2…

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A: Solution:Step 1: Review of the integral and singularityThe integral isz+11​,which has a singularity…

Q: Refer to page 5 for a problem requiring finding the critical points of a multivariable function.…

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Q: 1. Use Prim's algorithm to find a minimum spanning tree for the given weighted graph. a 5 b 4 c Find…

A: Step 1: The task is to use Prim's algorithm to find the minimum spanning tree (MST) for the given…

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Q: Given the characteristic polynomials p(x) for matrix Anxn find (a) n (size of A) and (b) its…

A: Let's go step by step and analyze both characteristic polynomials p(x) (a)…

Q: Q Let E be a subset of a spacex thens - prove that: i) E≤ E 2) Eclosed iff E'SE 3 E = EVE' = E° Ud…

A: Let (X,T) be the topological space and E be a subset of X. Proof 1: To show: E′⊆EˉE′ denotes the set…

Q: Exercise 6.5.1. Consider the function 9 defined by the power series o diw 28x3 g(x) = =x- +3 2 - x4…

A: Solution to Exercise 6.5.1 Part (a)The function in this part can be represented as a power series…

Q: Exercise. Show that in R with the euclidean metric, any subset of R\Q with more than one element is…

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Q: Using the Binomial Theorem, find the coefficient x4 in the expansion of x(1 − x)² + x²(1 + 2x)³ + x³…

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A: Ans 8 page 1:Ans 8 page 2:Ans 9:

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Q: 10. Simplify the Exponential Expression The problem is located on page 36 of the document. Use the…

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A: Given, f(x)=log(x−3)+2Domain: x−3&gt;0   (∵y=log(x) domain is x&gt;0) Domain is x&gt;3 Range is…

Q: In the following exercise, subsets R of R^2 = R x R or Z^2 = Z x Z are indicated by gray shading. In…

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: 2. Show an Abelian group order 15 is cyclic.

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Q: Answer only question five and it's a applied discrete mathematics question

A: To find the generating function for the sequence (hn​)n​ defined by the recurrence relation…