Find the volume of the solid that is bounded on the front and back by the planes x= 1 an =2, on the sides by the cylinders y = +-, and above and below by the planes z=x+2. = =0.

Q: Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) = 2.F(s) = s4+s2 2…

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Q: ez = -2

A: Given,ez=-2⇒z = ln(-2) = ln(-2+0i)

Q: Given:  U = { 2, 5, 8, 11, 14 }             A = { 2, 5, 8, 11 }              B = { 2, 8, 11, 14 }…

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Q: Find and graph all the roots in the complex plane. (3 + 14)3

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Q: 2. Use membership tables to prove that A - (BnC) = (A – B) U (A – C). |

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Q: 7. Let D = {x € Q|x² = 5}. Then, D is singleton. 8. Let H = {x € R| -1<x<1}. Then, H is finite. %3D…

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Q: Determine the real root of f(x)=x4-8x3-35x2+450x -1001. Using false-position method to locate the…

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Q: I. Show that the function f defined by 1, (x, y) = (1, –1) %3D f(r, y) = { 1² + y (x, y) # (1, –1) x…

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Q: Find an equation for the contour of f(x, y) = 2a²y + 6x + 15 that goes through the point (4, 1).…

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Q: Express the following complex number in its polar form. 2+5i -4-7i .i'(V3 – i10)(2 – i5)

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Q: a – 4b 2b - a Let W be the set of all vectors of the form with a, b arbitrary reals. Then (mark all…

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Q: Exercise 2: Given: vị = 3 , V2 = , V3 = 2, v4 = 4, v5 = Look at the following sets: Si = {v1, v2},…

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Q: A for the following matrix A and let 5 be the vector given below. 1 1 2 -4 A = 0 1 8. - 3 1

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Q: 2. Using Gaussian Elimination a.3x + y - z = 1 b.x - у+z%3D-3 c.2x + y +z= 0

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Q: A root of x- 0.5e 2* 0, which is locate in the interval [0, 1] correct to three decimal places using…

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Q: Use the integral test to determine the following series converges or diverges. Σ n=2 (1+2n²) 4n 3

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Q: Let V, W, U be vector spaces over the same field F. Let

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Q: Plotting: y = 3 – (x+1)* 5 -5

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Q: find the Fourier series of the following equation -1< x < 0 0 < x < 1 1< x < 3 f (x) = 1

A: Start by computing the Fourier coefficients: a0(f)=∫-13f(x)dx        =∫-10(-x)dx + ∫01xdx + ∫131.dx…

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Q: Find the Laplace Transform of the following function as a function of “s” and simplify the result.

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Q: Let T(7) = Az for the following matrix A and let b be the vector given below. 1 1 2 -4 A = -1 8 1 3…

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Q: ez = -2

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Q: Use Venn diagrams to exhibit A – (Bnc) = (A – B)U (A – C). -

A: The set A∪B contains all the elements that are present either in set A or in set B. The set A∩B…

Q: Question 4. Find f/ (x). (a) f(x) = xsinx (b) f(x) = sech-1x²

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Q: 2. Given the series 4n-1 n=1 a) Find the nth partial sum of the series using the approach of…

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Q: Is the problem in standard form? Do not attempt to solve it. Maximize P = 4xı + X2 subject to the…

A: Solution:-As per guidelines I submit first question only.

Q: Two equalence classes are either disjoint or identically.

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Q: Let Q be the field of rational numbers, then show that e(vZ, v3) = Q(vZ + J3).

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Q: 1. If MC N, then MAN = Ø. %3D 2. If XnY = Ø, then XAY = X – Y. %3D %3D 3. If I = N1000000000000000,…

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Q: ESSAY WRITING 1. Site one real-life application for the topic Geometric Designs 2. Site one…

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Q: Use membership tables to prove that A – (Bn C) = (A – B) U (A – C). %3D |

A: We want to prove the set identity A-(B∩C)=(A-B)∪(A-C) using membership table . Here we will use…

Q: 18. For every positive integer n, 2n < 2".

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Q: # Of Votes 11 8 7 7 3 2 1 1 1 1 1st M M J K J J M J J B M K M J B B K K 2nd J K M J K M K B K K M B…

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Q: find the minimum value of

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Q: Solve using the method of variation of parameters: y" + 4y = sec X. %3D

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Q: II. Let U = R I= {x €R|x - 14x + 45x = 0 J= {x €R|x s6} S = {x €R| |2x| > 2}. } Find the following.…

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Q: Express the following complex number in its polar form.

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Q: e*dx + 2 | 2*dx = e*+1 2*+1 + + C, In 2

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Q: statements are equivalent :

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