o (x- 1)² + (y + 3)² = 4

Q: (-1)"n For positive integer n, let a, 3n Determine whether the sequence {an} is convergent. (a) (b) ...

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Q: Sisatin me thhwd tu Piad lhe t. f xミー xt! [ミ]

A: given f(x)=x3-9x+1 in the interval [2,4] n=5  f(2)=x3-9x+1=23-9(2)+1=8-18+1=-9<0 f(4)=x3-9x+1=43-...

Q: 1. Prove Theorem 2: Center is a subgroup of G. 2. Let H be a subgroup of a group G. Prove that the s...

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

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Q: Based on a survey, assume that 32% of consumers are comfortable having drones deliver six consumers ...

A: Given, based on a survey, assume that 32% of consumers are comfortable having drones deliver their p...

Q: Sec (Cosx) dydx 1- Sin

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Q: Let G be a finite group with no element of order 3, and let a E G. (a) Can 3 divide o(a)? Either pro...

A: Given that G is a finite group such that ∀a∈G, o(a)≠3 (a) We have to determine whether 3 divides o(a...

Q: dy = y°(»* – 1). Consider the ODE (a) Find the equilibrium points of the equation and classify them ...

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Q: (e+y)dx + (2+ x + ye )dy =0

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Q: Coloring the vertices, find the chromatic number of the following graph G. Select the correct chroma...

A: Chromatic Number: Let us consider the graph G then the chromatic number is the number of the color r...

Q: The solution to the initial value problem, y" + 4y' + 5y = cos cos 9x, y (0) = 0 is y (x) = ? ye(e, ...

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Q: Evaluate f du . 9-4eu

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Q: Solve the following function operation. Show complete solution. Let f(x) = 5x +5      g(x) = x+3 ...

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Q: y(2x3-x²y + y)dx - x(2x + y³ )dy 0.

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Q: Find the roots of the equations: a) 3z2+3z+1=0 b) 2z2-2z+3=0

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Q: 3. Ca For all sels A. Band C. A-CRIC) = CA-B)NCA-C)

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Q: A hole is drilled through the center of a sphere x² + y² + z? = R,², leaving a ring-shape solid. If ...

A: given sphere x2+y2+z2=R2s and a drill of cylinderical shape x2+y2=R2d use polar coordinate to formul...

Q: Enter the function f(x) = 9x ^ 2 - 54x + 85 the form f(x) = a * (x - h) ^ 2 + k where a, and k are c...

A: The quadratic function f(x)=ax2+bx+c represents a parabola. The vertex form of the quadratic functio...

Q: State the representation that does not change the location of the given point. (4, 110°) A) (4, 290°...

A: (4,110°) 

Q: Consider the density curve plotted below: Density Curve 0.137 0.125 0.112 0.1 0.088 0.075 0.063 0.05...

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Q: +oo n Σ (-1)" 2n – 1 n=1 1+ x Find the domain of convergence of functional series. Is the convergenc...

A: Given: Let us consider the given ∑n=1+∞-1n2n-11-x1+xn and determine the domain of convergence of fun...

Q: In triangle LMN,angle Lis aright angle angle N measures 31,and MN measures 14. find the length of LN...

A: Given a triangle LMN, Here,  L is a right angle, ∠N=37°, MN = 14 unit

Q: 3.19 Nonnegative weighted sums and integrals. (a) Show that f(x) = , aixji] is a convex function of ...

A: Given: Let us consider the given trigonometric polynomial, Tx,ω=x1+x2cos ω+x3cos 2ω+...+xncosn-1ω Le...

Q: Problem 5. Show that there are no 2x2 matrices A and B such that AB- BA=

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Q: (a) Show that the limit xłycos y lim (x.y)(0,0) 2x4 + y2 does not exist.

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Q: 3. Note. The following integral formulas may be useful for this question: i) | In(x) da = x ln(x) – ...

A: We have to find the volume of given region.

Q: Pablem (4) (a) Show that if f fn } Conv. unif. S,, S2, ---, Sm, then fol unif I fal Conv. on dipove:...

A: Multipart:   (a) We know the definition of uniform convergence of a function, Let ,  fn : E → ℝ  we ...

Q: Q6) Use the rules of inference to show that the following hypothesis lead to the conclusion: CLO.5 m...

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Q: below. AMOUNT OF COMMISSION TOTAL SALES COMMISSION RATE P40,000 1 1 3% 2. P2,500 5% P150,000 3. P1,0...

A: # we are entitled to solve three subparts, please resubmit the other parts if you wish to get them a...

Q: The indicated function y,(x) is a solution of the given differential equation. Use reduction of orde...

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Q: If u = x² cosy+ ye", where x = s+2t and y = st, prove that ди ди 2- (s – 21) (x siny- xye – e"). - a...

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Q: If f(x,y) =log,(cos²(e* )+ sin(x + y) then f(x,y) is ây ôx A) – sin(x + y) B) 0 C) cos (x + y) cos(e...

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Q: 8. Give an exanmple of each of the following : (a) a set which is a nbd. of each of its points, (b) ...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Solve the system of linear equations using Gaussian Elimination method. x + y - z = -2 2x - y + z ...

A: we have given the linear system of equation x+y-z=-22x-y+z=5-x+2y+2z=1 we have to solve the linear e...

Q: Consider the following fixed-point iteration algorithm ,41 From a graphical solution of z = g(z) you...

A: Given xi+1=gxi=xi+5xi+1  

Q: (a) Find the point of intersection of the tangent lines to the curve r(t) = (5 sin(xt), 2 sin(xt), 6...

A: We can solve this using formula of intersection of tangent line

Q: Using the table, write the given traditional Chinese numeral as a Hindu-Arabic numeral. 四五大 t 入九+ 千 ...

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Q: Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace correspo...

A: The eigenvalues and eigenvectors are related to a square matrix. The eigenvalues are the roots of a ...

Q: A predicate is a sentence that contains a finite number of variables and becomes a statement when sp...

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Q: et M denote "Miyazono plays violin.", A denote "Arima plays piano." and S denote the Music is sorrow...

A: M : Miyazono plays violin A : Arima plays piano S : Music is sorrowful to represent If the music is ...

Q: 69 dx J-9 x2 + 4x + 8 6.

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Q: Perform the indicated operation. 5/128 +9/8-3/162

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Q: maximise x1 + 2x2 subject to -x1 + 2x2 < 6, x1 + 3x2 < 12, X1, X2 20

A: Linear programming, graphical method

Q: y? – a? -, y(1) = -V2 dx dy xy

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Q: The 2nd approximation to the real root of the equation e - 4x = 0 with initial guess xo = 0.3 using ...

A: Newtown Raphson method

Q: Let f(2) = |z+ 21? Part (a) Using Cauchy-Riemann equations, show that f(2)is not differentiable ever...

A: Cauchy - Riemann equation is used

Q: x2 – 3xy + y² = A { x2 + y2 = B Siven the system of equations where A = 2 and B = 8

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Q: Let u(x, y) = 2x + 3x²y - y³. |(i) Show that u is a harmonic function. i) Find a harmonic conjugate ...

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Q: Using Cauchy-Riemann equations, show that the function f (z) = (z+ 4)is differentiable everywhere.

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Q: Determine the amplitude of the following trigonometric function. Question f(1) = -4 – 5 cos(27 – a) ...

A: According to our guidelines we can answer only one question and rest can be reposted.