A" A is invertible if and only if A has linearly independent columns.

Q: Determhe, whether the follawng vector fiebdo are conservative. If they potential funchion. b) È=…

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Q: Given A,B and C required to prove that A\(B\C)=(A\B)U(A∩B∩C)

A: Given  A, B, C are any three sets  We have to prove  A\(B\C)=(A\B)U(A∩B∩C)    Let X be unversal set…

Q: A linear differential equation with constant coefficients has the characteristic roots: 0,0,0, 2 +…

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Q: s $33,000 per month Pam's none employee expenses are $13,500 per month if Pam wants 4,500 in profit…

A: It is given that, Pam's business earns $33,000 per month. Pam's non-employee expenses are $13,500…

Q: Evaluate the line integral - y)dz + (1+ } + æ*)dy, where C is the circle of radius 1 centered at the…

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Q: Find the volume of the solid that results when the region enclosed by y = VI, y = 0, and r = 81 is…

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Q: 1a) Find the vertex of the graph. f(x) = x^2 - 4x (x, y) = 1b) Consider the following

A: Introduction: The vertex of the quadratic equation f(x)=ax2+bx+c is given by, -b2a,-D4a Where…

Q: One of the two tables below shows data that can best be modeled by a linear function, and the other…

A: Consider the table A, find the divide difference for the table. x f(x) First divide difference…

Q: Speedometer readings for a vehicle (in motion) at 6-second intervals are given in the table.…

A: From the given information, the value of n=6 and the interval is a,b=0,60. Note that, the formula…

Q: The function f(x) shown in the table below is a linear function. Identify its slope and y-intercept,…

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Q: Problem 3: Use the set identities/laws to show (A- Bº)U (A° U B)e = A.

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Q: Find the area of the closed region enclosed by the curve defined parametrically by x = 3 cos t, y= 2…

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Q: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s?, how long will it take…

A: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s2 .We have to find  how…

Q: Let f) = x* +x + 2x² -1€ Z,lx). Then x =1 is a root for f(x) of multiplicity: 2 4 None

A: Given that fx=x5+x3+2x2−1∈Z3x. We have to find the roots of multiplicity of fx at x=1. At x=1…

Q: Use the second Taylor polynomial P2 (x) for f(x) = x² + In(1 + x) about ¤, = 0 and evaluate f…

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Q: 9) Use rules of inference to show that the hypothesis "Randy works hard", "If Randy works hard, then…

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Q: Theorem 24. If ɛ > 0, then there is an integer N EN such that 0 < + < e. .

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Q: 2. Let T: R³ → R² be given by (E)- 3x1 + 2x2 4.x2 – 5x3 T = and let L: R → R³ be given by 6x1 + 12…

A: Part(a) A mapping T:V→W is a linear transformation if: TaX+bY=aTX+bTY Here, a,b are constants and…

Q: Give the slope and the y intercept of the line – 10x + 1y – 5 = 0. Slope = y intercept = (0, Enter…

A: The equation of a line is: y=mx+c , where m is the slope. y-intercept can be evaluated by…

Q: x1(t) Let x(1) be a solution to the system of differential equations: x2(1) x{ (1) x3(1) 2 x1(t) +…

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Q: Find the volume of the solid that results when the region enclosed by y = Vr, y = 0, and a 9 is…

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Q: (-1)^ xIn lIt) = (-1)" (n+ 2 2n+1(n + 1) che exact value of

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Q: 1. Which of these sentences are propositions? What are the truth values of those that are…

A: A proposition is any declarative sentence (including mathematical sentences such as equations) that…

Q: centered on a wall the mirror is 36 in wide and the wall is 18 ft wide which equation have to…

A: Given that a mirror should be centered on a wall the mirror is 36 in wide and the wall is 18 ft…

Q: Which one of the following vector fields is conservative? O F(x, Y, z) = (xy +1, a²y? – 2, xyz)…

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Q: The model of the car you are thinking of buying is available in three different colors and two…

A: Lets understand it very basic way. Lets say 3 different colors be R, B, G and  two different styles…

Q: Find the Grodient (Cylindrical ) V=(2pz?sin"p)op +(pz-sin24)ap + (2p2 sin? o) az

A: Given: V=2ρz2sinϕaρ+ρz2sin2ϕaϕ+2ρ2zsin2ϕaz To find: Gradient of given function.

Q: Consider a random walk on a connected undirected graph with n nodes and m edges. Prove Tn) satisfies…

A: Here we have given that a random walk on a connected graph with n nodes and m edges. we have to…

Q: (e) Sketch the graph of ƒ with emphasis on concavity. Label all the intercept points, relative…

A: (e) It is given that the function fx=x3-4x2x+22 and f'x=xx+8x-2x+23 and f''x=87x-4x+24. it is…

Q: 3. Use the Ratio Test to determine whether the series en! converges or diverges. State n=1 if the…

A: The solution is given as

Q: Problem 1: Prove A = {m E Z : m mod 6 = 2} is a proper subset of B = {n € Z : n is even}. Problem 2:…

A: We have to prove that the given statement in question 4.

Q: Let n, r E Z with 1 < r < n. Give a combinatorial (that is, a counting argument) proof that · ·…

A: here we can simply use combinations to prove the result.

Q: Does the following series converge or diverge? 6n Σ 3/2 6n + 7n +5 n= 1

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Q: What is the perimeter of quadrilateral ABGC? B E 7 G 13 4 A O A. 72 о в 56 C. 67 D. 64

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Q: Let f(z) = ((z - 3i)? + 9)ez-3 The Laurent series representation of f(z) in the domain 0 < Iz – 3il…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Write a triple integral in cartesian or spherical coordinates for the solid and solve for the volume

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Q: Give the slope and the y intercept of the line – 10x + ly – 5 = 0. Slope = y intercept = (0, Enter…

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Q: ry Solutions

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Q: Angle v and angle x are vertical angles. Write an equation that represents the relationship between…

A: Vertical angles means they are vertically opposite to each other. [As shown in the picture]

Q: Ex: Given the periodic lenchon o< ×<ス 2くメく3 Frd the Fourier ser.es of finy

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Q: Problem 2: Shade a Venn diagram to represent the sets A, B, and C, such that: (i) C – (A° N B) (ii)…

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Q: + sin x = 0. It t is taken as the root wOL.

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Q: Find the general solution of the given system. -1 1 1 3 0 4 -1 X' = 1 X X(t) =

A: Use the given information.

Q: 7. Which expenses are not associated with renting accommodations? a. rent; utilities; groceries b.…

A: Renting Accommodation examples are (a) Move-In Fees (b) First and Last Month’s Rent (c) Security…

Q: Your rich aunty loans you $40000, for the down payment on a house, at a simple interest of 2% (the…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: Define two vector functions 7(t) = 2 sin(t)i + 8 cos(t)j + t°k ü(t) = 8 sin(t)? + 2 cos(t)j + (t? –…

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Q: Match each equation with a graph above

A: Given,         y = 4(0.65)x

Q: Evaluate 1 dx 1+ x4 as a power series centered at 0. Write out the first four nonzero terms (not…

A: We know that the sum of geometric series 11-x=1+x+x2+x3+..... similarly, we can write for 11+x4…

Q: 11. Use the Mean Value theorem to show that f(x) = 2x sinh (æ – 1) + 2" – x has a critical number…

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Q: Let B = {b,,b,} and C = {c4,c,} be bases for R². Find the change-of-coordinates matrix from B to C…

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