Solve the area of the surface of revolution generated by revolving the arc of the curve, x-y° from y=0 to y=1, about the y-axis.

Q: Exercise 3.2. Show that the following knots are composites:

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Q: diagonalizes A, and determine P1AP (Notice that the order of the eigenvalues and corresponding…

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Q: Prove the following limit. ) f(x)=x²+2x+6 where lim, 3 f (x)= 21 >) lim x – x+1=-5 =) lim x³ = 8

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Q: . b = . Find the Find the Span(a, b)? C 3. Let a %3D %3D

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Q: 2 Suppase G is an abeli Group of Order 6 Contauining an element' of order 3. Prove G is Cyclic. 2…

A: 1)  Let , G  be an abelian group of order 6. Consider , a ∈ G  of order 3. By definition order of an…

Q: 3 d²y +3y[ dy + dy .3 2 dx = 5x dx dx

A: We have to identify the independent variable, dependent variable , order and degree of the given…

Q: QI. Solve the following problem with insulated boundaries: U = Uxx Ju,(0, t) = 0 lu(1, t) = 0 u(x,…

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Q: Is it true that when an n*n matrix whose columns form a basis of R^n, then A is invertible?

A: We shall answer this in next step

Q: R.5. Define a relation < on the set of ordered pairs of real numbers (x, y) as follows:…

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Q: Suppose that all car owners fill when their tanks are exactly half full. At the present time, an…

A: Given that (1) The number of customers per hour arrive at a single pump gas station λ=7.5 the time…

Q: The salary of Mr . Cupido is increased by 30% every 2 years beginning January 1,1982 . Counting from…

A: Solution

Q: Find the mass and the z-coordinate of the center of mass of the solid of density kx bounded by the…

A: Mass of solid of region D with density function δx,y,z M=∫∫∫Dδx,y,zdV To find z co ordinate we need…

Q: Show that you can arrange n copies of all 3" ternary strings so that two consecutive strings differ…

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Q: 2. Find the roots of the give vectors) in the plane; find c real parts and the imagina to (iii) and…

A: # As per the guidelines we are entitled to solve one question at a time , please resubmit the other…

Q: The matrix -3 - A = has one eigenvalue of multiplicity 2. Find this eigenvalue and the dimension of…

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Q: using the nth ruot test.the ser Zn1 an Equal ? A) 2. O Not the of above

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Q: HeW. By the Same way Prove that: X Ju (x) (X)

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Q: Indepen-dent Variable Depen-dent Variable Equation Order Degree z(iv) + z" = -y y' + ay = bt f" + f'…

A: We have to identify the independent variable , dependent variable, order and degree of the given…

Q: 19U - 6)(1 - 15)2 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D)…

A: Given : The characteristic polynomial of a matrix A, is given as C(λ) = λ4(λ-6)(λ-15)2 To find : We…

Q: (1) $5.9, Let X, be subspaces of R³ with bases given respectively by Bx = By (a) Show that X and y…

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Q: Given two matrices 1 A = 0 5 -3 6 C = 1 Determine the matrix B such that A· B = C.

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Q: Given: 2a  + 5b + 3c = 2 3a + b - 2c = 3 -a + 2b + c = 1 Instruction: Identify the coefficient…

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Q: Show that 1+3/ -5 is irreducible which is not prime in ZlV-5]

A: We know that ,  ℤ-5 = a + b-5 / a , b ∈ ℤ We need to show that , 1 + 3-5  is irreducible but not…

Q: Which of the following is not a property of Fourier Transform? O Fourier Transform of an Integral…

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Q: 2 (ii) using Convolution theorem. (s+2)(s²+9)

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Q: The accumulated value of one at time t (where 0 < t < 1) is given by a second degree polynomial in…

A: We are given that, The accumulated value of $1 at time t is at2+bt+c, a≠0 We have two information…

Q: Determine the Laplace transform of the periodic function of the graph shown below. Enter final…

A: Given, Graph of the periodic functionf(t)=3 if 0≤t&lt;11 if 1≤t&lt;23  if 2≤t&lt;31  if 3≤t&lt;43…

Q: Choose the best answ Hover-High Helicopters manufactures radio-controlled toy helicopters. They have…

A: We want to find  per unit profit after selling 200 units.

Q: a. Suppose x e R. Show that f (x): = x/3 is not differentiable at x = 0. b. Differentiate and…

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Q: 5xn X1 = 1; xn+1 = 1; Χn+1

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Q: help with

A: Given,           v→=w-yi→+xj→

Q: 1ocm = 1m L,= 2363 cm= 236. 3 m Lo67m- 6.7m g=223cm= 22.3m 5=221 cm² 22.1m L4: 40cm - 4.0m 42° 1295…

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Q: Let f(z) = -7, g(z) = -3r -9 and h(z) = 8z. Consider the inner proouct (P.e) = Pz)q(=) dz in the…

A: The solution is given as

Q: Lét Let G = (V, be a graph with adjacency matrix A, where 0 1 0 2 1 1010 1 A = |0 1 0 1 1 2010 1 1 1…

A: We have to find the order of graph G = (V,  E) .

Q: It takes 8 vertices to represent the letter N and hence, D is a 2 × 8 matrix. In addition to D, it…

A: To construct: The coordinate matrix D for the capital letter L in a 6 unit × 8 unit cell of line…

Q: 1. Using Euler's method, find an appropriate value of y corresponding to x=1.4, given dy = xy and…

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Q: Question 1 Let S be the surface that is the part of the plane x + y + z the first octant. Find a…

A: Given that S be the surface that is part of the plane  x+y+z=3       ...(1) lying in the first…

Q: Complex numbers 1. Which among the options in column A is equivalent to 2(a + bi)? 2. Which is…

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

Q: 16. Integrate f(x, y, z) = x + Vy – z? over the path from (0, 0, 0) to (1, 1, 1) (see accompanying…

A: We have to integrate the given function over the path C1 and C2

Q: 0/using the test comparing the series Eñn nt 2n-3 *? A- closc ande far apart B- closc or convergent…

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Q: sid c Use the Gaus5-Seidel method to find approximate solutions to -21 +3x2 + x3 = -4 2x1 + 2x2 +5x3…

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Q: 2 (a) Find of the following functions: dx zxa+1cos y? = sin(yº + 22z) where A=2 C=6| 一

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Q: 2. What is the solution to the initial-value problem - 0 <x< 00 U = c²u Su(x,0) = 0 (u,(x,0) = xe-*²…

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Q: Which of the following graphs have Euler circults or Euler trals? OA: Has Euler trail. DA: Has Euler…

A: Solution: Given that

Q: C. VARIATION OF PARAMETERS 2. (D² – 3D + 2)y 1 1+e-x

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Q: 3x2 – 5 if r 1. r? + 2x – 3'

A: This is a problem of asymptotes.

Q: Which of the following four graphs on five vertices is not isomorphic to any of the other three?…

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Q: Suppose C is the curve from (0, 0) to (2, 0) to (2, 3) to (0, 3) to (0, 0). Find the work done by…

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Q: 1. The Laplace Transform of f(t) = te' sin(2t) is

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Q: Which of the following is not a property of Fourier Transform? O Frequency Integral O Modulation O…

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