Which of the following are convergent or divergent? Show your work. 72 i. En=2 lnn ii. En=1 3 1+ Vn iii. En=1 (-2)"y n2

Q: Use forwards, back ward and centered difference approach to approximate the derivative of the f (x)…

A: Given function is  fx=x2+9x-10

Q: Find the volume of the area bounded by the curve y²=12x and the line x=3 revolved about x=3

A: Finding the volume of solid generated by given curve

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.5)

A: Given,

Q: . The following data were obtained in an experiment relating time (t) (the independent variable) to…

A: We can solve this by calculating slope by using slope formula ,

Q: 3. This problem is about set addition and subspaces. Let di and d2 = span{di}, %3D 1 U = span{d2}.…

A: Sum of two subspace

Q: 1. Using Three point Forward difference, Backward difference, Central difference formula numerical…

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Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

A: The solution of the problem is given in the next steps.

Q: In evaluating a double integral over a region D, a sum of iterated integrals was obtained as…

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Q: 3. Solve the IVP problem of Dirac's Delta function: y"+3y'+2y = 10 (sin t +d(t-1)); y(0)=0, y'(0)=-1…

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Q: 6. We consider any holomorphic function f(2) : D → C \ {0}. An function g : N→ C is called a branch…

A: Fix a point p∈Ω, and consider gp a solution of  egp=fp The solution is always exits as fp≠0. let…

Q: (4,28) is a maximum or a minimum point of the function g(x) = -x³ + 6x2 – 4. Verify whether the…

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Q: Compute [x] and [x] for the following value of x. 32.999 32 [x] = 33 %3! %3D

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Q: The second term of a geometric sequence is 6 and the fourth term is 96. Find the possible values of…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: A curve C is defined by the parametric equations x = 1- t2 y = t – t3 (a) Show that C has two…

A: To check concavity we eliminate t of the parametric equation and we see that the curve is union of…

Q: 12 + 22 + ...+ n² = n(n+1)(2n + 1) 6

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Q: Let X be the vector space of all ordered pa y = (n1, N2), · of real numbers. Show that norms on %3D…

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Q: 1. Consider the following function: sin z e f(2) = 23(z – 3i)² sin (a) Find all the singularities of…

A: Since you have asked multi-parts questions, we can solve first three sub-parts question for you. If…

Q: Use the laplace transform to solve 3x'-y=2r;x'+y'-y=0; x(0)=y(0)=0

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Q: Suppose that the 2004 state of land use in a city of 60 mi? of built-up area is C: Commercially Used…

A: The complete solution is in given below

Q: In practice, when comparing two means using small samples, when would you recommend assuming equal…

A: Option (D) is the correct answer.

Q: (1) Consider the following differential equation, with time domain t e (0, 1): Sv = (-1)y. u(0) = 1.…

A: The complete solution is in given below.

Q: FIND X , Y AND THE ORDERED PAIR USING ELIMINATION OR SUBSTITUTION METHOD. x+2y-7=0 2x-5y+13=0

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Q: 3 Let R be the region inside the curve C :r = 1+cos 0 and to the right of the line € : r = - sec 0.…

A: Given R be the inside region between the curveC : r=1+cosθ and the right line l : r=34secθ. (a) We…

Q: Prove that the nonzero row vectors ofa matrix in row-echelon form are linearly independent. Let = A…

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Q: Obtain graphically an approximately value of the root of x = sin x + Tt /2

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Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

A: For the solution of the problem follow the next step.

Q: A colony of bacteria starts with 2000 individuals. The colony is exposed to a new penicillin-type…

A: (a) The average rate of change of a function f over the interval  is given by fa-fbb-a. At t=20 and…

Q: Determine whether the set S spans R2. If the set does not span R2, then give a geometric desaription…

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Q: Which graph represents y as a linear function of x ? A y

A: Given: y is a linear function of x.

Q: 1. Exercise. Suppose that the curve C in the zy-plane is traced out by the vector-valued function…

A: We have to find derivative of vector.

Q: The base of a three-dimensional figure is bound by the graph x = cos(y) + 1 on the interval [-n, r].…

A: Option(2) is correct answer.

Q: undetermind effients y-2y'+sy= e"cosaz CO522

A: The given equation can be written as (D2-2D+5)y=excos2x.               ⋯⋯1 Ley y=e^{mx} (m being a…

Q: Find the solution. (4D³ + 4D² + D)y = 0 A y = c,+(c,+cx)e/2 /1- y = c,x+ (c,+c,)e½ © y = c,e-/+…

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Q: The base of a three-dimensional figure is bound by the y-axis and the curve x = -3y2 + 6 on the…

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Q: 1. Find Solution using Newton's Forward Difference formula f(x) 0.10 0.1003 0.15 0.1511 0.20 0.2027…

A: The value of table for x and y x 0.1 0.15 0.2 0.25 0.3 y 0.1003 0.1511 0.2027 0.2553 0.3073

Q: 4. Find the solution to the following system of equations. Show your work. x+y= 10 x-y = 2 You may…

A: To solve the given system of equations.

Q: Find the solution. (D4 + 18D2 + 81)y = 0 A y = (c, + c,x)e²"cos3x + (c,+cx)e2'sin3x. y = (c, + c,)…

A: 16 Given differential equation is D4+18D2+81y=0 We have to find the general solution of the given…

Q: Use the laplace transform to solve 3r'-y=21;x'+y'-y=0; x(0)=y(0)=0

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Q: Solve the following problems following Polya's Four Step Method and employing the different…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: Perform Gauss-Seidel Method to the given system of linear equations. using x, = 0, continue…

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Q: Question 5 The circuit diagram below shows a low pass RC filter circuit, the function of which is to…

A: The complete solution is in given below

Q: (Use decimal notation. Give your answer to five decimal places

A: Given,            f(x)=11x+15

Q: 5. Compute sin a e + 3e¬z

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Q: n- (1) Sn n!

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Q: Exercise. Let C be a curve drawn by: p(t) = (2 cos(t), –-2 sin(t)) Find the length of the curve…

A: Arc length of the curve.

Q: 1. Evaluate the principal value of : - j1) (1+ j1)ª 1 O A. 2.808 + j1.318 O B. 2.808 - j1.318 O C.…

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Q: Find the solution of the initial value problem y" + 2y' + 5y = 8et cos(2t), y(0) = 4, y'(0) = 0.…

A: We have to find solution of given differential equation.

Q: 07 1. A continuous random variable X has cdf for x 1. (a) Determine the constants a and b. a=0;b=1…

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Q: Solve the following equation by fixed point method using the initial value x(0) = -1. F(x) = 2cos(x)…

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Q: Find the differential of the function y = x- sin x.

A: Given: y=x2-sinx