6. How many ways can the letters of VESTIBULAR be arranged if all the vowels must be adjacent?

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A: (1) The Cauchy-Euler differential equation is of the form anxndnydxn+an-1xn-1dn-1ydxn-1+.....+a0y=X…

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Q: Find (2x + 3y)dA where R is the parallelogram with vertices (0,0), (-2,-5), (5,1), and R (3,-4). Use…

A: We can find the integral.

Q: Use a proof by induction to prove that for all n EN, 1+3+5+...+(2n-1)= 1 (2j-1) = n². 9. (9 n², that…

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Q: 6. [- (3) SPRECALC7 10.8.011. Use the elimination method to find all solutions of the system of…

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Q: For each of the following functions, determine whether it is holomorphic at infinity, and if it is,…

A: To Check: Whether the following functions are holomorphic at z=∞ or not and then, To Find: Power…

Q: Let H be an r-by-r square matrix. Prove that (HT)−¹ : (H−¹)T =

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Q: Which of the following is an integrating factor for y² + 2y = 3t? e²t O e2t+5 O e²e²t 7e²t ALL OF…

A: we have to find the integrating factor of the differential equation  y'+2y=3t

Q: find Fourier's 0 f(x) = 2 -1≤X20 06X≤1

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Q: For the following right-endpoint Riemann sum, given R₁ as indicated, express the limit as n → ∞o as…

A: The given right endpoint Riemann sum, Rn=2n∑i=1n5+2inln5+2in. We have to find the definite integral…

Q: 16. The drawing represents a loaf of bread with a slice shown x inches from the left-hand end of the…

A: We need to determine the correct graph that shows the variation of v(x) with respect to x.

Q: Deduce the conclusion from the premises giving a reason for each. a. pv q b. q→ r c. past d. ~ r e.…

A: Kindly refer to Step 2 for the solution.

Q: 4. Let P be any point on the ellipse E: 25 = 1. (i) Show that the equation of the tangent at P: = 3x…

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Q: Please also when answering find the slope or the gradient of the line! Needed asap!

A: Answer  Consider the following table   Now when we draw sin(theta1 ) on y axis and sin(theta2) on x…

Q: Proposition 7.6.15 Any strong interval-valued fuzzy graph is balanced.

A: Kindly refer to Step 2 for the solution.

Q: A box has four red balls numbered 0 - 3 and six black balls numbered 4 - 9. Let A be the event that…

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Q: Show that the statement below is a valid or invalid argument. (Please construct a truth table for…

A: p q r p∧q p∧q→~r p∨~q ~q→p ~r T T T T F T T F T T F T T T T T← critical row T F T F T T T…

Q: Find two different parametric equations for the rectangular equation given. y=4x-1 (a) Substitute…

A: Here we have to find two different parametric equations for the given rectangular equation:  1)…

Q: Let T be a set of subtrees of a tree T. Assume that the trees in T have pairwise non-empty…

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Q: a. Approximate the given quantity using Taylor polynomials with n = 3. K b. Compute the absolute…

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Q: C( Jo (t)) = S s²+1 S (√√8² +1 S (Vs2+1) 3 S 1 O None of these

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Q: 5. For each of the following functions, find its zeros and their orders. (a) f(2)= (b) f(x) = -1.

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Q: Find the taylor series formula. x+x3+x5+x7+x9+.....+x2k+1

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Q: Find (3x + 2y)dA where R is the parallelogram with vertices (0,0), (3,-1), (4,-4), and R (7,-5). Use…

A: Given: R is the parallelogram with vertices 0 , 0 , 3 , -1 , 4 , -4 and 7 , -5. To find: I=∬R 3x+2y…

Q: Question 4. Let y(t) satisfy the following 2nd order ordinary differential equation: 5y" + 2y'-y =…

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Q: Proof that ²³e¹b. O for Cylinder Coordinates Where ² √² +d² d2² dy² e³p. rcos $ +j sind

A: We can prove the given equation for cylindrical co-ordinate.

Q: If A and B are equivalent, does it follow that the two matrices have the same eigenvalues?

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Q: Use the multiplication principle to solve. An auto manufacturer produces 5 models, each available in…

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Q: Find the general solution of the given of DE: y'"' + y = 0. (Use Maple to find m₁,m₂,m,,m₂)

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Q: Suppose that two people standing 6 miles apart both see the burst from a fireworks display. After a…

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Q: QUESTION 8 By using variation of parameters to solve the non-homogeneous differential equation y + y…

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Q: Question 10 Which of the following W is a subspace of the given V? A B C D E) W={(a, b, a-b): a, b…

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Q: 43. Show that the following are logically valid formulas: (p(xA) ← P(xA)) ← (←0) (A) (0) (b) (3x)(y)…

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Q: How many different sums of money can we have from a five centavo, a ten centavo, and a twenty-five…

A: Available coins are a 5 centavo, a 10 centavo and a 25 centavo coins.   Total number of coins = 3…

Q: 3. Compute the Laurent series of f(z) = z²e with center zo = 0 and give its residue at 2=0

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Q: Problem 11.3_4 Use the fact that F[1/(1+t²)]=ne and Parseval's equality to show that dr म 2

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Q: Show that if h>0, applying Newton's method to the following function leads to x₁ = -h if x = h and…

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Q: -8 ‒‒‒ --- I 19 124 Tem A 2 1 2 3 X F FS NK 0 == 00 10 Y

A: 11. Determine the equation of the polynomial function represented by the graph given.

Q: The evaluated value of the integral (282π(3)^(1/2)/5) is correct. The integral found for the…

A: First, sketch the solid.

Q: Calculate the line integral f (2x²y + 10x + 6y − 6) dx + (−6xy + 7) dy, - where C' is the rectangle…

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Q: Verify Green’s Theorem for the vector field F(x, y) = (x^2*y^2 , xy) and the closed curve C…

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Q: 0" − 0 = xẻ st

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Q: y"-3y" + 3y'-y = e²

A: Solution is uploaded in the image in scanned form.

Q: Let F, F' be forests on the same set of vertices, with ||F|| < ||F'||. Show that F' has an edge e…

A: Given Data :To show that F' has an edge e such that  F+e is again a forest.

Q: 6-4. The tip of a one-link robot is located at 0 = 1/2 rad at t=0 s as shown in Fig. P6.4. It takes…

A: Given: (i) The tip of one-link robot is located at θ=π2rad at t=0. (ii) It atkes 4 sec for the robot…

Q: Express 3/2 (1 - e-¹)dt in terms of gamma function.

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Q: Let T: R² → R² be a reflection in the x-axis. Find the image of each vector. (a) (2,7) (b) (6, -8)…

A: T: R2 - &gt;  R2 is a inear map which is basically reflection in the x Axis. Therefore for any point…

Q: 6. Consider the set A = 10 = {0, 1, 2, ..., 9} and consider the relation R on A determined by a Rb…

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Q: 6.9. Let G = Cn be a cyclic group of order n, and let X = {x₁,...,n} be a set containing n elements.…

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Q: et A, B, and X be sets. Prove that if ACB, then AnxCBnx.

A: