Suppose A and B are sets. Prove that A – B = AN B.

Q: Use polar coordinates to describe the region shown. y 10 5 -10 -5 10 5 -10 R = {(r, 8): 0 srs 3…

A: Here we will use some points and shape of given graph to decide which equation representing it .

Q: A debt of $6544 is to be settled by two equal payments due in 3 months and 7 months respectively.…

A: Solution: Let the payment due in 1 month be x. Accumulated amount after three month; FV=P1+rnnt…

Q: a 6) Determine the value(s) of a such that is linearly independent.

A: Given the set 1a,aa+2 is linearly independent.

Q: (e) 5. Compute the angle between the vectors [1, –1,0, 1] and [0, 1,0, 2]. 6. Compute the…

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Q: 4. Find the global minimizer of minimize a+a subject to a1 – 10 0 10 X1-10=0 f-64 f=16 f-1 12…

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Q: -4 If B = and []B then a 3 4

A: B = {(1, 3)t, (0, 1)t} Co-ordinate representation of x with respect to B is         [x]B = (-4, 4)t

Q: 6 Find the domain of each of these functions if it is known that the range is (-3, -2,-1, 0, 1, 2).…

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Q: The follwing system is given a: Find its augnented matrix b: Reduce the augmented matrix into RREF…

A: We have to find the general solution of the given system of linear equations in four variables,…

Q: Solve for the inverse laplace transform of the following functions

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 1. Let f be a function satisfying the following properties: continuous on R\ {1} f(0) = 0 and f(3) =…

A: Given: A function f satisfying the following properties: continuous on ℝ∖1 f0=0 and f3=7…

Q: Use standard matrices of T and S to find the standard matrix of SoT, if possible S:R² → R², S(x,y) =…

A: We have a given that ,  S : ℝ2 → ℝ2  ,  Sx , y = 2x+y , x - 3y T : ℝ2 → ℝ2  ,  Tx , y = x - y , x +…

Q: 4. Consider the following matrix A, where -2 4 -2 4 A = 2 -6 -3 1 -3 8 2 -3 Find bases for and…

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Q: (a) Graph G, Graph G2 (b) Graph H, Graph H2 Figure 7-58 Graphs for Exercise 1. 2. Explain why graphs…

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Q: Prove that the set V of all real valued continuous (differentiable or integrable) functions defined…

A: Given :  V is the set of all  real valued continuous functions defined on  [a, b] with vector…

Q: 2. A cone of radius 2 cm and height 5 cm is lowered point fırst into a tall cylinder of radius 7 cm…

A: The volume of cone is given by the formula V=13πr2h. In the formula of volume r is radius  and h is…

Q: Problem 5. Suppose v, w E V. Explain why there exists a unique r E V such that v+ 3.r = w.

A: Introduction: A vector space, also known as a linear space, is a collection of vectors that have…

Q: (a) Graph G, Graph G2 (b) Graph H, Graph H2 Figure 7-58 Graphs for Exercise 1. 2. Explain why graphs…

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Q: 3.Draw a graph given the following adjacency matrix. Represent the drawn graph using Adjacency List…

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Q: Find the general solution to the DE using the method of Undetermined Coefficients: y" + 9y = 2…

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Q: Sketch the domain and three-dimensional (3D) graph in first quadrant of the following function: z2 =…

A: This is a problem of set and functions and calculus of several variables.

Q: (3) A = {r| z = 3d + 2, d e N}, B= {x € Z\x² + 9 = 0}, C = {1,5}. Also assume the Universal set is…

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Q: t(x, y) x² + y?

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Q: , solve this D using the differential operator (D - 13D2 + 36)y = 2e2x + 3e-2x + 4e3x + 5e-3x + 10e*

A: Using method of undetermined coefficients

Q: Topology: There are 7 points in the figure (A to G) and each line connecting these points have a…

A: The graph given is as follows: We are asked to find the cheapest path that passes through each…

Q: a) Show that the distance between the parallel planes Ax + By + Cz = D1 and Ax + By + Cz = D2 is |D1…

A: As the policy of bartleby the provisions is to solve only three sub parts question we can solve

Q: Find the exponential generating function F(x) for the numbers fn of forests on vertex set [n] having…

A: Given clear explanation below

Q: If the boy has 10 T-shirts, 6 pants, and 4 pairs of shoes. How many possibilities can he dress…

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Q: Determine if the sequence is increasing, decreasing, not monotonic, bounded below, bounded above…

A: Please post the multiple questions separately. Here I answered 1st question as per our policy.

Q: (a) Write the domain of K.

A: Given,

Q: 6. For each of the following series determine if the series converges or diverges using the…

A: Given the series are (a) ∑n=0∞-1n-23n+3n let     bn=13n+3n⇒bn+1=13n+1+3n+1≤13n+3n bn hence bn is…

Q: Let S be a set of integers defined as follows:   2 ∈ S if n ∈ S, then n2 ∈ S if n ∈ S, then 16n…

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Q: 4. Adam's parents decided to putmoney in bank every month for his studies. They started with $1 and…

A: A sequence is a succession of terms arranged in a definite order according to some defined rule. The…

Q: A box with square base and height t is measured with the same possible error of measurement.…

A: Below given clear explanation

Q: Find L-1: 2+6s+8 g4+882+16

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Q: Consider the vector field F = (x²y°, r’y²). O The vector field is not conservative O The vector…

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Q: ) Confim by multiplication that x is an eigenvector of A, and find the eigenvalue, b) Detemine the…

A: a) it is given that ;   A = 5-113  and  x = 11.  We have to find the eigen value of A corresponding…

Q: The eigenvalues of A will be complex conjugates. Analyze the stability of equilibrium (0,0). Is it a…

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Q: Build a Venn diagram. Use the names of the sets to label the regions. Place the numbers in the…

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Q: e following graph shows the height, in meters, of a platform diver, over time, seconds. 12 /hat is…

A: given graph for height of the diver in meters over time in seconds.

Q: Why do we take s=0 or s=1?

A: A normal vector to a plane is perpendicular to all vectors in the plane.  If we have 2 vectors in a…

Q: Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the…

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Q: If possible, write -4 – 2x – 3x as a linear combination of x - x?, -a? and 1 + x². Otherwise, enter…

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Q: Solve the following system of IVP: -3 1] -2 -1 1 and x(0) 2] 3 x' = Ax where A = 6

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Q: How do you derive (by hand) the given eigenvalues and eigenvectors of the following tridiagonal…

A: I assume that the given matrix of the m-1×m-1  In this context,  matrix can be written as M=In+λJ…

Q: Find the supremum and infimum of the set x € R:x = +(-1)" ,n e N} + (-1)" ,n e N}

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Q: dy Vhich of the following is a solution of the differential equation + 9y = 0. dx -2x y = e -3x + X…

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Q: If [a11 a12 A = a21 and B = a22 [b11 b12 b21 b22] are arbitrary vectors in Rx2, then the mapping (A,…

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Q: Solve the following system of differential equations. dx = x + y, dt dy - 2x + z, dt dz = 3x – y +…

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Q: Q3: State if the statement is true or false: * The calculation of this integral by the use of the…

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Q: nat if xn and yn Cauchy sequence, then xn >

A: A sequence is {a} is called Cauchy sequence if for ∈>0 there exists N such that m, n>N then…