7 In the interval T, 27|the equation sin x = - 8 O (a) has no solutions (b) has one (and only one) solution O (c) has four distinct solutions (d) has an infinite number of solutions (e) has two distinct solutions

Q: → Det f : V → Il Xa be defined as : a e A f (v) = (fa(v)) a e A where fa : V ¸Xa for each a e A. Let…

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Q: (b) Integrate: () S(4x3 — Зх? + 2х — 1)dx 3 (ii) - S-o S,(2.xy + z)dx dy dz z=-1 Jy=0 Jx=1 dy du =…

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A: Let us perform the given transformations.

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Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = An (A)° = A – int A (ii)…

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Q: 1. Evaluate the following integrals. · | (csc 0)(1+ sin² 0 + sin 0 cot? 0) d0 а.

A: Properties of integration ∫sinθ dθ=-cosθ+C∫cosecθ dθ=-ln|cosecθ+cotθ|+C∫cosec2θ dθ=-cotθ+C

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A: Hi! As per norms, we will be answering only the first question. If you need an answer to other then…

Q: Let M = {x+ 1,x2- 2,3x}. Which of the following statements is true about M? None of the mentioned M…

A: Theorem  :  If   W  be a subspace of V and  dim(W) = dim( V) ,  then  V= W

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A: Use the given planes.

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A: We know that  Laplace transform of e^(at)  = 1/(s-a)

Q: Let A = {(4,1,0);(1,0, –2); (0,1,–5)}. Then A is a basis for %3D R3 the above vector space O None of…

A: Given set of vectors is  A = { (4,1,0), (1,0,-2), (0,1,-5) } is subset of R^3  If A is basis for R^3…

Q: II. Consider the function g defined by g(x, y) 3 = cos (Tx /y) + х — у Do as indicated. 1. Determine…

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Q: 7. Match the parts of a circle, • 1. A a. Radius b. Chord - 2. B c. diameter - 3. D d. Minor Arc •…

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A: A subset f1, f2, f3, ... , fn of a vector space ℙm is said to be linearly independent if…

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Q: 7. Explain the concept of a random vector ana now it induces a probabity on the sets of the Borel…

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Q: OUsing L'Hospital 'rule to find the limit of lim, **-4 x-2

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Q: e Petermind is Hhis seriese Geometnic not emd Amd asumof it - 27-9 +371,..

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Q: Find the inverse of the matrix. [:] 6 9 7 2 ... Select the correct choice below and, if necessary,…

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Q: Determine the Laplace transforms of * 3, 0 12

A: We use the definition of Laplace transforms to answer this question. All that is required is to…

Q: 1) +() = %3D -TT L X < o +マ OL X L T

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Q: Determine the solution set of the following. a) – 11x +35 > 6x² b) т? -5m 23- 2m Зх — 2 c) 2x + 5 <…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Question 3 (. whether it is convergent or divergent (show all ) Test the following series your…

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Q: Let u = (0, –2, 2), v = (1, 3, –1) and w = (2, 2, 2). If x = (0, –2, 2), then a = au + Bv + yw. O A.…

A: Given x=0, -2, 2, u=0, -2, 2, v=1, 3, -1, w=2, 2, 2 x=αu+βv+γw We will find the value of γ

Q: Let A = {(1,0,-2); (2,1,0); (0,1, -5)}. Then A is a basis for R4 the above vector space R3 the above…

A: We will show that the given set of vectors in A are linearly independent and then by comparing it…

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Q: †3 – 12 +5t + 2

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A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you…

Q: -3)(x+3)" Graph the rational function f(x) = Find all horizontal and vertical asymptotes and…

A: Given rational function is fx=x-3x+32x+1x-2x-5

Q: Use the Integral Test to determine the convergence or divergence of the following series, or state…

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Q: 1. Evaluate the following integrals. | (csc 0)(1 + sin² 0 + sin 0 cot? 0) do а.

A: Properties of integration  ∫sinx dx=-cosx+C∫cosecxdx=-ln|cosecx+cotx|∫cosec2xdx=-cotx+C Properties…

Q: 3. Estimate the derivative using forward finite divided difference applying both truncated and more…

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Q: 6. Find the value of x: 43 Ox=317 O x- 21.5 Ox- 86 Ox- 43

A: The angle made by two lines will always be the same at every points on the line from the point of…

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Q: 5. (a) Solve the simultaneous equations: 4x + 2y = 20) 5x – 2y = 7 5 %3D (b) M = ) N= ) 2 М — -2.…

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Q: Divide x - x4 + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x2 + 1 plus the…

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Q: Find the standard equation of the sphere. (Let r = 5 and C = (9, 7, 5).)

A: Standard equation of a sphere with radius r and centre at c=(h,k,l) is  (x-h)2+(y-k)2+(z-l)2=r2

Q: 1 - x 1 2 - y = z +1 and l2 : х — Consider the lines l1 : = y – 2 = 3 || 2.

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Q: 2. Determine whether the following subset S of R3 is a subspace or not. a) S = X2||x1x2x3 = X3 S.…

A: Let V be a vector space over field F. Let W be a subset of V then W is subspace of V over field F if…

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Q: The interval of convergence of the power series n=0 n24n is [-4,4]. Select one: O True O False

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Q: Find * S L-1 s2-4s+13.

A: Let given function is  F(s) = s / (s^2 - 4s + 13)

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Q: ) Using elimination, solve the system of linear equations: 3x + 2.5y = 5 2x + 4y = 16

A: Since you have aske multiple questions here, we will solve the first question for you. To get the…

Q: 260° to Find the value of x Ox- 260 Ox= 100 Ox= 130 Ox= 80 5.

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Q: Showthat the series fcx) =)SinX/n Converges cuniformly IR. n=1 want. to show fox) ==Sin 2/n…

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Q: 3- calculate SSm xe' dxdy -if the bounded set M is given by inequalities y <2 - x, y 2 x². -Draw the…

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