12 [1;0sxs1 Let f(x)=- then the cosine series expansion 0:1

Q: y = x/J

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Q: The value of the integral oIm(iz)dz, where C:| z|= 2, counterclockwise, is

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Q: /2, log (a cos 0+b° sin 8) do= log 'a+b 2 a>0, b>0.

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Q: Find two linearly independent solutions of the equation (x-1)y"+y=O for |x|<1

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Q: 5-14 1 Solve the differential equation. 5. у' + у — 1 6. у' — у — е* 7. у' — х — у %3D 9. xy' + y = ...

A: According to our guidelines we can answer only three sub-parts and rest can be reposted. 

Q: 1. Use the Euler, improved Euler and Runge-kulta methods to Solve the folllowing ODE s: 4 2 y =0 y c...

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Q: 2.) Find the transition Matrix from B {(3, 2, 1), (1, 1, 2), (1, 2, 0)} to B' = {(1, 1, –1), (0, 1, ...

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Q: Determine the number of x-intercepts of the graph of f(x) = ax+bx+c (a+ 0), based on the discriminan...

A: Roots of the quadratic polynomial using discriminat method

Q: Let X be an ordered set, and A C X. Show that a. for every E X, x has at most one immidiate successo...

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Q: Complet the following table : O D:5 1.5 1.75 2.71828 5.75460

A: The forward difference operator (∆), the backward difference operator (∇), the shift operator (E) ar...

Q: x2sinx Find dy /dx Y = (1+x²)2V1+x

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Q: (1) List the first 5 terms of oach of the soquence (a,). n+1 (d) an = sin An = 3n- - 1 3(-1)" (e) a ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: -2 -10 1 3 y 0 2 6 2 b) The graph of y x2- x is drawn on the axes on the left. Use the graph to esti...

A: The graph of a function is the collection of ordered pairs of x and y in the cartesian coordinate sy...

Q: Let A E Mnxn(R), show that it is possible to express A as the product, A = PQ where P,Q E Mnxn(R), a...

A: Given: A matrix A∈Mn×nℝ   To show: A=PQ, where P,Q∈Mn×nℝ such that P is positive semi-definite and Q...

Q: Usethe dire ctiolal devivative tohow Much F()= Cos TXy +xy" will Change if the Paint PIXiy) is Moved...

A: If z=f(x,y) is a multivariable function, then x ,y is called the input of the function, and z is cal...

Q: 1A building contrastor has accepted ordlers S hype A houses, 7 hype B houses and 12 contractor is fa...

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Q: Consider the points A(3, –3, 5), B(5, –5, 2), C(-1, –4, 2), and D(4, 1, –8). (a) Find the volume of ...

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Q: Given points P(3, –2, 4), Q(5, –1, 3), and R(1, 6, –4) on the plane π, determine a vector, a paramet...

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Q: Determine discrete time Fourier transform for the given signals. x(n) = 3(2") и(-п) —

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Q: a. Show that the series is conditionally convergent at æ = 3. %3D b. Identify the interval of conver...

A: This is a problem of series.

Q: Determine the values of m so that the roots of 2a? ma – 8 = 0 differ by m -1. O 9 and 3 O -10/3 and ...

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Q: Assume that u E W%3 (R"). What is the largest q such that we can guarantee that u E Lº (Rº). O 30 7 ...

A: In this question, 3 is the largest q such that we can guarantee that u∈Lq(R10). Hence option third i...

Q: 1. Consider the functions f : A → B and g : B → C. a. If f and g are both injective, show that so is...

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Q: ipounded instantaneous interest rate curve is given by 6. Assume that the ri(t) = 0.02 + 0.05 In(1 +...

A: Given :The Continuously compounded zero rate curveri (t) = 0.02 + 0.05 ln(1+0.2t)  

Q: (x – 1)" log n Given the power series where log n is the logarithm of n to the base 10. n=2 1. Prove...

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Q: QUESTION 16 In the TV program Star Trek, there's a rumor that crew members who wear a red shirt are ...

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Q: 3By UBing the two iterative methrds Solve the following System of equation and compare the speed of ...

A: Given: A system of linear equations, 5x+2y+z=12x+2y+5z=20x+4y+2z=15 To find: Using two iterative met...

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflow are both 175 cubic km/yea...

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Q: Can an (6,4)-graph is connected.

A: (6, 4) graph has 6 vertices and 4 edges. Now, any graph with n vertices will be connected if there i...

Q: 4a. Can you find a system of linear equations that has exactly two real solutions. 4b. A set S is ca...

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Q: Find the tangent to the ellipse x? + y² = 1 at P:(V2,1//2). %3D 4 ソ-Va z-Zol

A: Solution:-

Q: (a) If ƒ and g are integrable, then gof is integrable. (b) If ƒ is increasing and g is integrable, t...

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Q: Use the 2016 marginal tax rates to compute the tax owed by the following A married man filing separa...

A: Given that, Income of the married man = $174,000 Since, married man filing seperately. Hence accordi...

Q: T(n)=T(n-1)+n² for n>1, T(1)=1.

A: Since you have asked multiple questions so as per guidelines we will solve the first question for yo...

Q: Let f (z) = e10z Part (a) Find the integral of the function f (z)on the circle of radius 2 centered ...

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Q: EXs- Apply the improved Euler's method to the ODE : ý= x+y hzo-2, Xozo, Yozo Sol:- ki = 0.2 (Xn +Yn)...

A: Here we use basic formula of euler and improved euler and find error by table.

Q: X = {p, q, r, s} Y = {4, 5, 6, 7, 8} The function f: X → Y is defined as: f = {(s, 8), (r, 8), (q, 8...

A: We want to find elements in the range of function f.

Q: 1. Use the Euler, improved Euler and Runge-kutta methods to solve the follo wing ODES: dy 9. 3 = x (...

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Q: a. Find the linéär approximating polynómial following čentéréd at the given point a. b. Find the qua...

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Q: (1) Vf (f is a scalar function) 2) ř(t) and r(s), t is time and s is arch length.

A: This is a problem of vector calculus.

Q: Two cars are approaching an intersection on roads that are perpendicular to each other. Car A is nor...

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Q: In Exercises 11-16, a graph of a planar region R is given. Give the iterated integrals, with both or...

A: The region R is given. The given triangular region is bounded by the lines as shown in the followin...

Q: 2. Let the rref of a matrix A be, (1 0 0 1 2 0 -2 -5 0 -3 0 0 1 6. Determine A if the first, second ...

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Q: 1. A = sin(tan[1+i]) 2. B = cos(tan[2 – 3i]) 3. C = In(sec[-10 – 16i]) %3D

A: As per Bartleby guidelines we're supported to answer only first three subparts. Kindly repost rest.

Q: 3. Consider the following system of linear equations: x + 2y – z = -1 2x + 2y + z =1 3x + 5y – 2z = ...

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Q: Consider the weighted voting system [75: 50, 46, 35, 20, 3] 1. What is the smallest quota? Look at t...

A: Consider the weighted voting system 75:50, 46, 35, 20, 3.  

Q: Proofs must be clear, coherent, concise, and complete, and examples should be verified to satisfy re...

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Q: Q3)Can you fill the blanks? Find the solution to the linear system of differential equations x'=-1...

A:  the solution to the linear system of differential equations

Q: :B Solve the initial value problems dy + 2y = 3, y(0) = 1 1- dt

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...