Consider the following notation. (:) - n! x!(n – x)! art 1 of 3 What name is given to the notation above, and what does it provide?

Q: n! + 1 (c) Analyze the convergence of (n+1)!" n=1

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Q: 2. What is the value of x in the circle below? If necessary, round the answer to the nearest tenth…

A: We use the following theorem: Theorem: The perpendicular to a chord bisects the chord if drawn from…

Q: Section 5-4 : Cross Product 1. If = (1,0.-3) a nd = (6,-3,-4) compute vxw.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: i. What is the outcome of the Gale-Shapley algorithm with the men proposing? The women? ii. Find one…

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Q: Forward Euler's method with step h = 0.1, is applied to solve y' = = (-1+ aj)y(x) where j = v-1 and…

A: Given that the function y'=dydx=-1+ajyx                 1 where j=-1 and a is some positive real…

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Q: Select all that are True. A. O P(A) × P(B)| = |P(AU B)| for all pairs of sets A and B that are…

A: Power set  of a Set A is defined as the set of all subsets of the Set A including the Set itself and…

Q: Question 4: Suppose that the metric d on M is the discrete metric. (a) Show that every map f: M →Y…

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Q: (1) 5z(x) – lo /b

A: Option that give equivalent to 1 are A F G

Q: Sketch the region enclosed by the given curves and find its area.

A: Given curves y=14x4, y=2x2, x+y=3, x≥0

Q: -5 Secondary Topic 4. Compute 1 dr

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Q: H-w.4 Find the Volumes for the fallowing solids heights are defined by ZCX,y) and bases are the…

A: Volume bounded by xy-plane

Q: 10. x(t) = t sin bt

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Q: (2) Solve the initial Value Problems: a) Yt2.2 Y+l.17Y=0, Y(O) =2, y'(0) =-2.6;

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Q: Question 7. The Fibonacci numbers fn are given by the recurrence relation fn = fn-1+ fn-2, fo = 0, f…

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Q: g. Find all lower bounds of (48, 72}. h. Find the greatest lower bound of (48, 72}, if it exists.

A: Given Poset is ({2,6,8,12,18,36,48,60,96},|), where "|" denotes the "divides" relation.   (g) To…

Q: I. Evaluate the following antiderivatives. tan (T)+2 1. dr J V (sec(VT) – cos(V))

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Q: Let Pn denote the vector space of polynomials in the variable x of degree n or less with real…

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Q: sin(a2 – r) + x Secondary Topic 2. Compute lim

A: In order to solve this question you need to know the following notions

Q: Use a change of variables to evaluate the triple integral [, xdV, where the domain D is bounded by…

A: Change of variable in triple integral  ∫∫∫Ufx,y,zdx dy dz= ∫∫∫U'fu,v,w ∂x,y,z∂u,v,wdu dv dw

Q: In simplifying the following (2+v3-j)" (-v2–jv2)" -(-2 – j (4 – 2/3))" | 10 what would this be…

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Q: z-sinz So dz is 23 3 a) 0 b) - ni C) 2πί 2ni d) 7!

A: We have to evaluate the integral ∫Cz−sinzz3dz, where C id given in figure. Cauchy integral theorem…

Q: (vii) The eigenvalues of A = are...

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Q: Exercise 5.2.2. Find the kernel and image of each of the following homomorphisms. (1) o : Z → S6…

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

Q: 6. Evaluate * d³y__4d²y_ _169dy 3. + 676y = 0 dx3 dx² dx y = Cje-13x + Cze13x + C3e** y = (C, –…

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Q: 1. Determine whether or not the relation R on the set of all people is reflexive, symmetric,…

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Q: The vector tell f (xxz) = (z=+,2oxy"6) igven. Calkulate, using the stores theorem, the surface…

A: Given that  Fx,y,z=z2−1, z+xy3,6 To evaluate the integral ∫∫S∇×FndS using the stokes theorem.

Q: Exercise 5.1.14. Suppose G is an abelian group. Show {g E G : g² = e} is a subgroup of G. Give an…

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Q: Find the unique root of the function 2x - 5x? + 3x - 1 = 0 in the interval [1,2] using secant…

A: According to secant method if xi+1 and xi+2 are two roots of an equation f(x)=0 then next…

Q: At Conner Company, a custom manufacturer of printed circuit boards, the finished boards are…

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Q: Let R, and R2 be relations on a set A represented by the matrices 1 01 [1 1 0] 1 0 Lo 1 0J [1 = 0 1…

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Q: Find the Laplace Transform of the given function using the definition of Laplace Transform I. b.…

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Q: (-3)" (r+1)". n5" Find the radius and interval of convergence of n=1

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Q: Secondary Topic 1. Let g(r) = 2" + 3". Find (g-1)'(5).

A: y=2ˣ+3ˣ y'=2ˣ ln(2)+3ˣ ln(3) (g⁻¹)'(x)=1/[2ˣ ln(2)+3ˣ ln(3)] (g⁻¹)'(5)=1/[2⁵ ln(2)+3⁵ ln(3)]…

Q: Find the unique root of the function 2x3 – 5x2 + 3x – 1 = 0 in the interval [1, 2] using secant…

A: The secant method uses the formula: xn+3=xn+1-f(xn+1)⋅xn+2-xn+1f(xn+2)-f(xn+1) to perform the…

Q: If 2 = 100.301 and 3 =100477, solve 10* = 12 for x.

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Q: (1 2 3 The matrix A = 4 5 6 may be written as S + T, where S is a symmetric matrix and T is a 7 8 9…

A: Use the given matrix.

Q: i need help with 18

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Q: For the next three questions, consider what integer values of a, b and c would satisfy the following…

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Q: Find bases for, and the dimensions of, the row, column, and null spaces of the following matrix:

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Q: In this group of problems, you are given the predicate P(x), where the domain of x is the set of…

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Q: What must a be equal to such that the following equation is true? 1 a log10(3) log; (100) 2log3(10)

A: We have, log103-1log3100=a2log310 ⇒log103-1log3102=a2log310 ⇒log103-12log310=a2log310…

Q: Question 8. Write a full, formal prose proof by induction for the statements below. Vn e Z*n! = (n –…

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Q: 10. True or False: If A, BE M, are nonsingular matrices, then A-+ B- is nonsingular. (a) True (b)…

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Q: 34+34 + 3% + 3y = 에 + 3y =D 이 2 dx dx dx

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Q: Perform the multiplication. -3 1 -3 4 1 -5 5 -1 -2 - 4 2 0 1 4 - 1 1.

A: We have to perform the multiplication -3   1 -3   0   1 -5  12-4    4   4   6   0   5-1-2-1    0   1…

Q: 1. Let P(x1, Y1) be a point on the parabola x?: be the angle between the parabola and the line…

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Q: A simple graph that is isomorphic to its complement is self-complementary. (i) Prove that, if G is…

A: (i) If G is self-complementary, then its edges contain half of all of the possible edges (and the…

Q: E Z which makes the following

A: a=7

Q: Numerical Integration (Simpson’s) 1. Manually solve for the general solution of this integral. 2.…

A: The general solution of an integral has an integration constant. The particular solution of an…