00 8n + 3 2(- 1) "-1. n2+3 n=1 a) Determine whether or not the series is absolutely convergent. b) Determine whether or not the series is conditionally convergent.

Q: Show that (2o + h)" – 2ö = nz- | n-1 lim h→0 h for any zo E C.

A: To show: limh→0z0+hn-z0nh=nz0n-1for any z0∈ℂ

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Q: 7. Use the graph of f(x) below to sketch a graph of the transformed function. 2f(x – 3) F(x)

A: Given is a graph of the function f(x)   To Find: The graph of the function 2 f(x-3)

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A: We are given A=3 and B=3 now putting the values in integral it becomes ∫0π23xsin(3x) dx first we…

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Q: Describe the key features of f (x)%3= %3D 4x-12x+9 and sketch the graph. 10 4 -10 -D -8 -7 -5 -4 -3…

A: Here we find the domain and range of function. It's intercepts and asymptote are also find using…

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A: Solution

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A: Cauchy integral formula

Q: 3 Compute the Fourier transform and inverse of the following inputs use fourier matlab function : •…

A: (1) rectangular plus Input syms a b t f = rectangularPulse(a,b,t); f_FT = fourier(f ) Output f_FT =…

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Q: · A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

A: A roof gutter is to be made from a long strip of sheet metal L meters wide, by bending up equal…

Q: B Let r and y. be any two sequences of real numbers. Prove: If the surm rn+un converges and if the…

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Q: C.CE diff. eqs. 8. x³y" +x²y" – 2x y' + 2 y = x³sinx

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Q: For the differential equation (x2 – 4)y" + (x – 2)y' + 2y = 0, a regular singular point is: x=2 O…

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Q: 11 4. Let A= 0 1 10-1 Explain why one cannot solve Ax b for x exactly. Find the general form of x…

A: Let  A=11001110-1 and  b=123

Q: Which of the followi:ng statement is false? Ta) The ring (Q, +, .} is an integral domain. (b) The…

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Q: 27) Find the radius of a circle so that its area and circumference have the same value.

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Q: Use any method to determine whether the series converges. k2 (a) k3 + 6 Vk (b) k3 + 6 ?

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Q: x = 0 x # 0 Let g(x) = (sin Find all values of h for which g satisfy the following conditions on I =…

A: Using intermediate value theorem.

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x? + z?.

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Q: Given the quadric surface z = * + draw level curves (contour lines) for the heights c = 0,5, 10, 15,…

A: Given surface z =x24+y22 To draw , level curves for c = 0, 5, 10, 15, 20

Q: Shów your work. Question 1 [. 小 a) [ : Determine whether the series 1 Σ n=1 (4n- 1)4 is convergent…

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Q: 1. A long metal sheet with a width of L meters is formed into a gutter by bending up two of its…

A: A roof gutter is to be made from a long strip of sheet metal L units wide, by bending up equal…

Q: The indicial equation of the differential equation x2y" – x²y' + (1 +x)y-0 is: O r(r-2)=0 O…

A: Here we use basic formula of indicial equation

Q: Question 1. (a) paraboloids z=3+x2+y? and z=2+ 2x2+ 2y2. Find the intersection of the (b) gives the…

A: Using cylindrical coordinates to find the volume

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Q: Secant Method@x1 = 2; x2 = 2.5

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

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Q: R. 4, = U, - sin x cos t, :>r > 0 B.C.: «(0, t) = 0, 1.C.: u(x, 0} = 0, 1,(x. 0) = 0

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Q: Solve the trigonometric equation 3 sin e + 2 sine - 1 - 0 Such factoring, general solution) that e…

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Q: The oscillating current in an electrical circuit is as follows, where I is measured in amperes and t…

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Q: Let A be a non-empty set of positive numbers, which is bounded above and let B = {x e R: 1/x e A}. 1…

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Q: Calculate S3, SA, and S5 and then find the sum for the telescoping series 1 Σ n+1 S = n+2 n=9 where…

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Q: If we use the method of undetermined coefficients, the particular solution of the following…

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Q: LemmaIP ASR is a cubset of Rnd A- R are funefion then re A X6A XeA For any yGA XEA XEA By taking inf…

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Q: Solve the differential equation below using series methods. у'' — гу' — 5у — 0, у(0) — 4, у'(0) — 2…

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Q: Let S be the quadric with equation 36x2 – 4y² – 9z² – 36x = 0. (a) Classify the graph of S.

A: Given, The equation of the quadratic surface 36x2-4y2-9z2-36x=0 The type of quadratic surface is to…

Q: The weights of 40 pupils are shown below 35 43 52 39 62 54 58 37 44 62 43 48 53 42 55 37 45 50 40 46…

A: Making use of Tally method.

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A: Solution

Q: 4 -7 6. 3. Determine the adjoint of -2 4 7 -4

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Q: x - y 3. f(x, y, z) = y? + z? f(3, –1, 2) b. с. d. f(2, 2, 100)

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: To find the surface area of the below plane if it is in the first octant. 15x−5z+20y=35

Q: diff. eqs. =2 y" – 2x y + 2 y =x³sinx

A: