n=D3 n (Inn)?

Q: Show that the translate of an Fδ set is also Fδ.

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Q: Problem 2: Determination of Flux using Surface Integration A surface of x? + y? = 4 for z = [0, 3] i...

A: Given: Surface x2+y2=4 for z∈0,3. Vector field Fx,y,z=4xi+2y2j+z2k. To do: Graph the surface and ...

Q: For each of the following functions defined on the interval (0, T): (a) Find the Fourier sine series...

A: The functions given on the interval 0, π are as follows: fx=2x-πfx=   10<x<π2-1π2<x<πfx=...

Q: 18 Verify Stokes' theorem F dr (curl F) · dS C where F = (x² + y – 4, 3xy, 2xz + z²) and S is the su...

A: The complete solutions are given below

Q: Suppose T is the transformation from R2 to R2 that results from a rotation by a/2 followed by a y-co...

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Q: Find parametriequations for the line described below. The line through the point P(4, -3, 3) paralle...

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Q: 3) Find a basis for the subspace of R³ that consists of the intersection of the planes X- 3Y = 5Z an...

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Q: See equation below. Find the value of a + b/c, that is, a plus (b divided by c). (Answer must be an ...

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Q: Find a differential equation whose general solution is 8t -6t y = cje + c2e = 0

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Q: y′′(t)−2y′(t)+y(t)=e2t−t ; y(0)=y′(0)=0

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Q: (D2 -3D+2) y = e sin (e") - 2

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Q: What semi-annual payment must be made into a fund at the beginning of every six months to accumulate...

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Q: 8. The function f(x) = e² has an antiderivative, but there is no nice way to express it using elemen...

A: (a)Area = 1.462651745907 

Q: Let x be a solution of the differential equation d?x * + 8x = 0 df 8. such that x(0)=1/10, x'(0)=0. ...

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Q: A dealer deals in only two items: sewing machines and table fans. He has 5,760 to invest and a space...

A: Let x denotes sewing machine and y denotes table fans. So, x≥0, y≥0 He has 5760 to invest and a swin...

Q: Let x be a solution of the differential equation d²r * + 8x = 0 8. such that x(0)=1/10, x'(0)=0. The...

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Q: Suppose that the instantaneous rate of change of the untreated mosquitoes is 1204 at t=1, where t re...

A: Let the population of untreated mosquitos be M(t). And, M(t) satisfies the equation dMtdt=kM, where ...

Q: Obtain a series expansion for the integral 1/2 1/(1+x*) dx and justify your calculation.

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Q: In one of the laboratories, it conducted an experiment on 900 insects to prove the effectiveness of ...

A: x = input("Enter no.of insects died in first hour : ")n = 7;f = 900;while n >= 1    n = n-1;    x...

Q: D^5−2D^4+4D^3−8D^2)y=48e^−2x−16sin(2x)

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Q: Solve simultaneously y (t) = 1 – a"(t) z' (t) = 2y (t) a(t) = -y(t) where x (0) = 2, x' (0) = –1, y ...

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Q: A: Find the Fourier of the following function and sketch: (x + n f(x) = {* + if - I<x<0 if %3D 0<xく言

A: The given problem is to find the Fourier series expansion of the given periodic function with given ...

Q: Let /(x) = x (x + 2)" and calculate f(x) dx by using integration by substitution. What was your subs...

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Q: Provide the mathematical expression for the sequence of rotations that transforms the frame in the t...

A: Solution :-

Q: Show directly that the given functions are linearly dependent on the real line. That is, find a nont...

A: Given functions are f(x) = 23 g(x) = cos2x  h(x) = cos(2x)

Q: Find the solution set of the following inequalities: (x+3)(x-2) > 0 1. (x+2)(x-1)

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Q: 2z - v2 Find I = dz, where C = |z + i| = 1, CCW z2 + 0.25i

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1. Th...

Q: 9.13 Solve: X1 + x2 - x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + X3 = 1 with (a) naive Gauss eliminati...

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Q: Use the generalized eigenvectors of A to find a general solution to the system x'(1) Ax(t), where A ...

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Q: reduce to firs oreler and solve (It

A: By Bartleby policy I have to solve only first one as these are all unrelated &amp; lengthy problems....

Q: A rectangular box with a surface area of 28.5 ft has a square base and a length of 4 ft. Solve for t...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: suppose that u= xe+y Sin z and that X,y, Z can be measured with maximum passible errors.of 180 respe...

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Q: The elevation of a mountain above sea level is given by f(x,y) = 3000e-(* +2y* y100 (in meters). The...

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Q: grows much faster than al olem, you will improve on above. rds, define six sequences {- all c> 1: < ...

A: Given: In n&lt;&lt;na&lt;&lt;cn&lt;&lt;n!&lt;&lt;nn

Q: Suppose E-1 an and E=1 bn are series converges absolutely. Prove or give counterexamples for the fol...

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Q: Prove the following theorem directly. 'Let B, E,W be sets. If B Ɔ W, then BU E WUE"

A: Given B, E and W are three sets .

Q: Problem 13.1. Let X be a topological space; let A be a subset of X. Suppose that for each r E A ther...

A: Given X is a topological space and  A is a subset of X. Suppose that for each x in A there is an ope...

Q: 18.8. (a). Let y be the contour z = ete, - T<0< T traversed in the positive direction. Show that, fo...

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Q: 1. Consider the function f defined by f (x) =| sin x |, for - T < x < T. a) Find the Fourier series ...

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Q: Hw.s Anofen cylinder Can hag an tnside radius 82cm and an inside heightof s cmuse the total derivati...

A: Volume of the cylinder with radius r and height h is given by V=πr2h For the volume of the metal use...

Q: an = 4аn-1 — За,-2 + 2" + п+3

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Q: Ofcx)= 3x-1 2xくI O fox) = ーX)そく2 olim x*+3x²+ x+2 2 xu + 2x* +1 X→の

A: As per the company rule, we are supposed to solve the first three subparts of a multi-part problem. ...

Q: Define the line Lo to be a = xo + at, y = yo + bt, z = z0 + ct. If Lo passes through the origin, the...

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Q: Find the smallest value of k, k e N, for which the average value of f(z) = 30 - z + k on the interva...

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Q: v² dx + x(xt y) dx = 0 LINE 1 let x= v2, dx = yda+ zdy y2 (ydz + zdv) + xz(vz +Y)dy= 0 vz (vdz t zdv...

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Q: differential equation.

A: We will solve this DE by using power series 

Q: Find the length of the curve with the given vector equation. r(t) = 2t 4 1 + 11t j+ 10t 4 k, -1 sts ...

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Q: The demand function. P= 4o-4Q-2Q². Calculate +the for quentíly Qo=2 units. consumer Surplus.

A: This is a problem of financial mathematics.

Q: fer)=X-8. .25+ X² 2 What is the derivative of the following equation?

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Q: X 3x + x*+ 2

A: # (a) part seems incomplete. Therefore solving the second part The given function is limx→∞x4+3x3+x2...