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Q: Give the adjacency matrix of the graph below.

A: The entries of the matrix are the number of edges from a vertex to another vertex.

Q: test the convergehce and divergene ni+2"

A: Convergence or divergence of the series

Q: H.W p.564/ use Trapezoidal method and Simpsons" 1) Jo Jitx? dx n = 4 2) S e** dx n = 4 3) . V1 + x3…

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Q: 1 4 5 -6 g) A = 6 15 , B= 11 - 23 -12 3 51 35 -4 71 52 12 h) A = 22 9 B=-5 17 -19 100 -24 -8 91 -8…

A: Solution :-

Q: If g is a differentiable function and g(0)=0 and g'(0) > 0. a) Prove that f(x) = 1/2 (integral from…

A: Introduction: A differentiable function of one real variable is one whose derivative occurs at each…

Q: Identify a generating curve on the xz-plane for the surface of revolution with equation x2 + y? + 22…

A: Solution :-

Q: Find the Fourier series expansion of: 0, -1 <a<0 f(x): f(x) = | sin 7x, 0<x < 1 and then use it to…

A: As per guidelines we experts are allowed to solve 3 sub parts at a time. so please reupload the…

Q: Find a generating curve on the xz-plane for the surface of revolution with equation x²+ y²+ z²= e2x

A: Solution: Given equation is x^2+y^2+z^2=e^(2x)

Q: (a) Let V = Rª and let 3 be the standard dot product on V. (i) Calculate B((1,0, 1,0), (0, 1,0, 1)).…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Evaluate S, (a2 – y²)dz, where y is the…

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Q: Consider a rectangular plate with width w and hight h. If the temperature at all edges are kept to…

A: Given: The solution of the given problem is ux,y=∑n=1∞ancoshnπwy+bnsinhnπwysinnπwx. The boundary…

Q: 2. Find and classify all the critical points of f (x, y) = 7x – 8y + 2xy – x² + y³. %3D (1

A: Given: 2.Let us consider the given curve equation, fx,y=7x-8y+2xy-x2+y3 -----1

Q: A stone is dropped from the top of a tower. it reached the ground in 2 s. what is the height of the…

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Q: A particle is moving in space with position function RIt) = (cos(4t), sin(4t), 5- 3t. a) Determine…

A: We will find arc length and use it to parametrize the curve

Q: Let R be a ring such that for each a e R there exists xE R such that a'x = a. Prove the following :…

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Q: Solve each nonhomogeneous 2 3 1. 3 2

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Q: Calculus Find the following surface integrals. Here S is the part of the sphere x^2+y^2+z^2=a^2 that…

A: S is a surface given by parametric curve r u,v = xu,v i + yu,v j + zu,v k∫∫S   fx , y , z dS = ∫∫S…

Q: (5) For the given impedances, z, = 10 + jo N, z, = 0 – j10 N and z, = 10 + j1o N, Determine, z- =…

A: Consider the given impedances, z1=10+j0z2=0-j10z3=10+j10 here, we need to find to find the value of,…

Q: d) Use Laplace transforms to find the final value of the following expression. f(t) = e-3t sin 4t e)…

A: Solution:-

Q: 628 + j5z4 + 6 = 0 3.

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Q: 1. Write the ODE as a system by taking y1 =y and y2 = Consider the ODE y" - 9y + y* = 0. 2. Write…

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

Q: Determine whether the following series is convergent or divergent. If it converges, find its value.…

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Q: Write the simplex tableau, that should be used to: Maximize P = 5x1  + 2x2 subject to  x1+ 7x2 = 0…

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Q: (e) A x (B – C) = (A × B), (Ax C). %3D (f) (A – B) × C = (A x C). (Bx C). (g) If AC B, then A x C ВХ…

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Q: 6. tet 2 B= |-3 4 1 -4 5. 4 =) Find odj a Compute det (B) E Show that the 5 (Adj B) = (odj 8) 8 =…

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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: Find the limit or prove that it does not exist lim (2,y)→(0,0) T° cos x + 2y sin y x2 + 4y2

A: We will evaluate the limit limx, y→0, 0x3cos x+2y3sin yx2+4y2  using polar coordinates.

Q: 505. Two tangent lines at the endpoints of a given arc containing 120° are drawn, and a circle is…

A: Solution :-

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

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Q: 3 -3 Find AA if A = 5 4 -2

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Q: Consider the following binary relation: Vx, y E R?, x Ey if x1 > Yı (indepen- dent of x2 and y2) or…

A: We will use the basic knowledge of relations to answer this question correctly and completely.…

Q: 1 -1 (c) Let A : -1 1 1 and define LA : Rª → R³ by %3D -1 1 1 LA: 12 H A. Find the kernel of LA.…

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Q: Determine all of the equilibrium solutions of the autonomous differential equation dy = 2 (y- 8) (y…

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Q: dy dx x+y2

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Q: Consider the differentia equationy"+y=0. By using power series solution about the ordinary point 0…

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

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Q: 11. The equation of the main window of a periodic function f(t) is given below: (t'+1 -1<t<0 f(t)=…

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Q: [B] Use Newton-Raphson Method to perform thirteen iterations to the equation f(w) = w* + 4w² – 10 =…

A: This is the problem of Numerical analysis.

Q: x +y+ 5z = 0 Solve 2х — у + z %3 0 %D a. (4, 6, –2) b. (-2t, 0, t) c. (-2t, -3t, t)

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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.

Q: 3. Considering the following two-person game, what percentage of the time should Y play strategy Y1?…

A: Solution:

Q: Y r = 4 sin 0 r = 1+ sin 0 B 2. Consider the polar curves (see figure above) r = 1+ sin 0 and r = 4…

A: Using the given picture. A and B lies in first and third quadrant so the angle lies between 0 and π

Q: Iculate the integral (2² - y2) dA nain D is bounded by y = r and y = 4x for I > 0. ving of the…

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Q: This question asks you to find an integral using Riemann sums. Recall from lectures, that a definite…

A: Let's number the n subintervals by i=0,1,2,…,n−1i=0,1,2,…,n−1. Then, the left endpoint of…

Q: Assume that for a e R, f is 21.–periodic, g (z) = f (-r) and h (z) = f ( – a). Denote by Af and Bị…

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Q: For f(x) = x Apply the bisection method and calculate b2 (right endpoint after 2 iterations) 2 and…

A: Introduction: The intermediate value theorem is a continuous function theorem. In mathematics, the…

Q: Implicit Curves A Consider the 2 implicitly-defined curves 5y – 2x + y - 2'y = 0 and 2y + 5z +z – zy…

A: We have to check whether the given curves intersect at right angles at the origin i.e., 0, 0. For…

Q: 4 The integral " L* 1 dzdodr can be used to find the volume of a cylinder. Select one: True False

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Q: 3. Let f(x) = x(x² + 1)/2. (a) Evaluate fo f(x)dx using integration by parts. (b) Evaluate f, f(x)dx…

A: Solution :-

Q: The indicial equation of the differential equation x²y" – x²y' + (1 + x)y = 0 is: O r(r-2)=0 None of…

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