Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to third. How many ways are there where all three cards are 6s?

Q: 19. Determine the line integralof the differential form (x + 3y²)dx – (-6xy + z)dy from points…

A: Linear integral of Differential form

Q: (2) Consider the power series f(x) = En=1 ngn (X – 2)" (a) Find the radius of convergence and…

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Q: Ax) = Ln=0 n! e Show that: GAx)dx = En=1 n(n+1) (–2)"-1 (n +2)! ||

A: Here we use integration and series theorems to find the solution.

Q: A graph has a. Vertices O b. edges O c. A function that tells which two vertices are connected by a…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: f(x) 2 4 8. 10 12 14 CO

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Q: Consider the two matrices: 2 4 1 -5 A = B = 2 Compute A + 3 B. The result is equal to: Select one:…

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Q: 1- Evaluate without a calculator. Show your work. a) Log 0.000001 b) log4 (1/16)* 33 51/4

A: The given problem is to evaluate the given logarithmic terms. Given logarithmic terms Log(0.000001)…

Q: ミ xy

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Q: () Consider matrix A = and vectors x = and y = Calculate matrix B = (A – A")² and vector w = Bx.…

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Q: After 5 iterations of Fixed-Point Iteration Method, solve for one real root of +2z + 10x-20 =0 using…

A: Solution :     The method works as             xn+1 = 20/(xn2 + 2xn + 10)  Initian guess : x0 = 1.…

Q: • Exercise 3 Prove that if S and T are both bounded linear operators from the normed space X to the…

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Q: 2.4.10 Show that det(e4) = etr(A) for all A E Mn(C). D %3D

A: The given problem is to show the given identity. To show: det(eA)=etr(A) for all A belongs to Mn(C).

Q: f(x, 3) = In(x? + Y²òf function P(3,4) at the point of i = (9, 12) Directional derivative in the…

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Q: Use Green's theorem to find the area integral if V(x.y) = (x²+y®)į+ (x²=y®\j¸ where C is a solid…

A: The given vector is Vx,y=x2+y2i+x2-y2 j and  The given parabola is y=2-x2. We know the Green's…

Q: Sketch the graphs of the following, inserting relevant values. 0 < x < 5 5 < x < 8 1 f (x) = {0 f(x+…

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Q: CSc x e dx Cos x

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Q: Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to…

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Q: Find two vectors that are orthogonal to the plane containing the points P = (4,-2,1) and R =…

A: We find two vectors that are orthogonal to the plane containing the points P = (3,0,1), Q =(4,-2,1)…

Q: 6° Szx dx t yay where L cs parabol y=-x(x-) arc

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Q: Consider the sequence {an} where an is given by -{ (n³ – 1)/n³, if n is odd, An = (n² + 1)/n², if n…

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Q: = cot-" (2), a > 0 sin at Prove that L() = cot™

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Q: The equatiokn  Y = (x,y)T  is given as a vectorfunction with 2 components and A = table below 3 2 2…

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Q: 5 =DA

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Q: find x in degrees Sin x=0,8766 tanx= 3.7834

A: Given that sinx=0.8766 and tanx=3.7834 To find x in degrees

Q: 5- Graph the following function( Y=-1/4 log ,(3x-6)+1

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Q: Since we have sin(r +y) sin(r) + sin(y), the function sin(r) is a linear transformation.

A: We know T: V---&gt;W  is said to be linear transformation if, T(x+y)= T(x)+T(y) for all x,y in V…

Q: Compute the line integral of the vector field F(r, y, z) = (x + 2y + 3z) i+ (2x + 5y)j+(z – 3y)k…

A: As per policy, we will solve the Question 4 only please repost it to get solution of Question 5. In…

Q: [1 1 0 1 Find a singular value decomposition of the matrix A = 0 0 0 1 2. | 1 1 0 0

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Q: Find the volume below the surface z = x2 + y2 and above the xy-plane for −1 ≤ x ≤ 1,−1 ≤ y ≤ 1. (b)…

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Q: What is the relation between Beta function and gamma functions and also find В5,3).

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Q: Find (do not do the Newton's iteration) the con- vergence order and the rate of the Newton's method…

A: See answer below.

Q: Express the complex number below in polar form - 3+Jai ? a. 253 (cos s%G+ i sin sã ) 6. 3 + 3. d.…

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Q: Express 7 (cos 300° – i sin 30°) in polar form.

A: convert in polar form

Q: if 0 < x < 1 11 – x if 1<x < 2 Find the Fourier series expansion of f(x) = with period P = 2.

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Q: Find the truth table for the given statements (a) (p ∨ r) ∧ (q ∨ r) (b) p ∨ (∼p → q) (c) (p →…

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Q: Prove: If S is compact, and ƒ is continuous on S, then ƒ takes a minimum value some- where in S.

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Q: Prove that if S is a bounded set then S is bounded.

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Q: How much is the selling price of a gas stove listed at ₱2,650 if a discount of 15% was given to the…

A: listed Price(LP) = Php 2650  Discount % = 15%  Discount Price(D)= 2650×15/100 = Php 397.5 Selling…

Q: Question 2. Prove that a nonempty closed subset of R, if it is bounded from below, has a least…

A: The given question is related with real analysis. We have to prove that a nonempty closed subset of…

Q: By using Cauc hy laws find= Cos X.dx IT (x?+)) Sinx cos A) dx COS X e)

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Q: Eva receives utility from consuming burgers (X, the good on the horizontal axis) and orange juice…

A: The complete solution is in given below

Q: Esther works at a clothing store which marks up its retail clothing by 40%. The store purchases…

A: Given, The store purchases pants for Php 500 The store purchases jackets for Php 400 The store…

Q: 8 3 Find the Inverse Laplace Transform of 35²+12 2- 49 3 - sin7t+ -cosh (2t) 7 4 A. 4 - sin2t +-sinh…

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Q: hat is the d

A: Given,          f(x)=(0.5)(0.5)x

Q: Let X = {1, 2, 3, 4, 5} and Y = {3, 4}. We define the relation R on the set P (X) by the formula (A…

A: Here, I have shown that the given relation is an equivalence relation and found out the equivalence…

Q: Determine one real root of f (z) = 8 (sin z) e- lafter two iterations of the Newton-Raphson Method…

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: investment products were made available to the small businesses and single entities. These…

A: Here we generate a equation then solve that.

Q: Use Forward and Backward differentiation to f' (1) calculate as accurately as you can. Let h = 0.08…

A: To find the value of the derivative at a point x by forward and Backward differentiation with step…

Q: Evaluate the following problems using modular arithmetic. Write your answer as a modulus statement.…

A: To evaluate the given problems using modular arithmatic.

Q: Use Gauss-Jordan Elimination to solve the following system. Identify the Gaussian Matrix and the…

A: We use Gauss-Jordan Elimination method to solve the given matrix.