In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? A. 810 B. 1440 C. 2880 D. 50400 E. 5760

Q: Yoot (fixed Point method) to solve the equation :- f(x) = 4x²+2x-1 where b) the fourth a) Fifth XE…

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Q: Please do and explain part d)

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Q: Find the first two derivatives: Leje d. k dejé c. beje d. Leve Assume 0, b, and d are functions of…

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Q: The particular solution of the following equation by using the method of undetermined coefficients…

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.

A: Take 3 even numbers, 2,8,36. Now 2=2k for k=1 8=2k for k=4 36=2k for k=18 So the even numbers are of…

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Q: Let g(x, y) = x² + y² x² + 1 (a) Sketch the level curves of g at levels k = 1,2 on a common…

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Q: Let X= [0,100] x [-2,2] with the Euclidean metric d on X and T: X→→ X be defined by T(a,b) = (2+ √a²…

A: As per the question we are given a Banach space X = [0, 100] × [-2, 2] with the Euclidean metric d…

Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

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Q: Solve for A: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right…

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Q: d) Restate the definition and derivation of a composite quadrature rule.

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Q: Find all prime ideals of (Z12, +12-12). Then find Rad (Z12).

A: Prime Ideal:  Let R be a commutative ring. An ideal P is called a prime ideal if P(not equal to R)…

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A: Bessel's Differential Equation : The linear second order ordinary differential equation of type…

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A: Introduction:       A grouping of numbers in a specific order is known as a sequence. On the other…

Q: Use the method for solving equations of the form dy dx -=2 sin (10x-5y) |ð = G(ax+by) to solve the…

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Q: 2. A (1,3) and B (7, -5) are the points of a diameter of the circle. 3. C (2, -4) and passing…

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Q: 4. (a) Sketch the curve r = 1 + sin 8, the cardioid curve. (b) Transform the equation of the curve r…

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Q: Sketch the graph of a function g that is continuous on its domain (-5, 5) and where g(0) = 1, g'(0)…

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Q: 6. b. a. does not exist Find the inverse of -1 -1 Ed -4 نما 3 -4 -1 1 if it exists. C. 1 1 B 4 3 d.…

A: Given that the matrix 3-1-41

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Q: Problem. Create a truth table for the expression (p ^ -q) v (-q ^ -r), by filling in the indicated…

A: The aim is to create a truth table for the expression (p∧¬q)∨(¬q∧¬r)  So, the table has been drawn…

Q: (1) A scalar matrix A is an n x× n matrix such that for some real number r and all n × p matrices B,…

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Q: b) If their positions are po -8 = (-3) ₁₁ = (*), d 6 do they collide?

A: Introduction: The curves r1 and r2 must yield the same vector for given t and s in order to cross…

Q: if the root of the equations is Xlog X-1.2=0 located between 2.8 522-7 of the root using the wrong…

A: In this question, the concept of the wrong position method is applied. This method is also known as…

Q: 2 dx t² de + 3 t x = t³ ln(t) +2 $x(1) =0 3

A: Given that t2dxdt+3tx=t3lnt+2, x1=0

Q: 2x₁ + 5x₂ +3x3 = -1 10 x₁ + 30x₂ +10x3 = 1 40x₁ + 10x₂ +30x3 = -8

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Q: Identify the parts of the parabola given its equation in standard form. (x + 9)² = -28(y + 6)…

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Q: Prove or disprove that an 8 × 8 board with two opposite corners removed can be tiled with 1 x 2 (and…

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Q: opriate formula to find the future value (in $) of $700 deposited at the beginning of e

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Q: Prove that if -1 <r<1, then 100 n=1 mon

A: To prove that if -1&lt;r&lt;1, then                             ∑n=1∞rn    converges and has a sum…

Q: Using the trapezoidal rule to calculate [cz+sin2x) dx by dividing the Period into 8 Partial Periods…

A: The trapezoidal rule uses the formula:∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn)  to approximate the…

Q: The function is in polynomial degree. Get all the roots. f(x) = x8+2x7

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Q: 5) x2. dx = x² + 3xy + y², (c) dr = 2 = 3v, + 3x' (d) (1 - y)' + By - 5x = 0.

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Q: cm high and 16 cm in diameter if the metal in the top and bottom is 0.2 cm thick, and the meta me…

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Q: 1. Convert the following linear program below into standard form. Solve the standard form problem,…

A: The given linear program problem is: maximizex1, x2, x3 3x1-x2+4x3   s.t.…

Q: The trajectory of the particle in projectile motion is parabolic and is given by: y = xtane where…

A: Given y=xtanθ-gx22v0cosθ2. Substituting, v0=26.5m/s, y=20.3m, x=23m,g=9.81m/s2.…

Q: 6. Let A and B be two open subsets of R". Show that their intersection An B is also an open set. 7.…

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Q: 3. Using Newton's method, solve for the value(s) of x in the equation below. Use 3 decimal place.…

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Q: 1956, M. King Hubbert proposed a model to analyze crude oil production. His model, with Updated…

A: For a function of the form: y=f(x), any point on the coordinate system is represented using the…

Q: b) -4 ;= (-₁) ₁P₁ = ( 8 ), d -(-3). 6 If their positions are po = ,do they collide?

A: Given that two circles of radii r1=7 and r2=7. And three positions are p0→=−4−3 and p1→=−86. We have…

Q: 2. The table below lists the annual land-line phone cost per costumer: Year 2012 2013 2014 2015 Cost…

A: The linear regression is used to fit a data set into a linear equation of the form: y=mx+b. The…