roblem 2. Let V be the set of all real numbers; define by u v = uv and o by aov = a+v. V a vector space? %3D

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Q: (c) What is the real part of ein/4?

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Q: Solve Q11

A: 11. Given that the series                      x∑m=1∞mamxm-1+∑m=0∞amxm

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Q: 8. Let n > 2. Consider the n x n symmetric tridiagonal matrix over R c10 0 1 0 0 1 ... 1 ... с 1 An…

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Q: ) Let I be a maximal proper ideal of commutative ring with identity R. Prove that R/I is a field.

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A: Given, A planet P in the xy-plane orbits the star S  in a circle of radius 10 units, completing one…

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A: a) since this is a four cycle , then order is 4  b) order is lcm(3,4) = 12 c) order is lcm(4,2,3)…

Q: In Problems 19-36 use Theorem 7.1.1 to find L{f(1)}. 19. f(1) = 2r* 20. f(1) = 1 21. f(1) = 41 – 10…

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Q: QUESTION 9 What is the biconditional of the following conditional statement: "If two segments have…

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Q: 4. f(t) = teatcosbt %3D

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Q: 4. Determine the equation of the plane passing through the point (1, -4, 3) and parallel to the…

A: This is the problem of vector Algebra and 3D Geometry.

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Q: Directions: Complete the two-column proof to prove that: CD AB Given: AB = CD B Prove: CD= AB…

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Q: 3. The system in Exercise 3 = Sr+ 4y

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Q: init – dimensional vector space over the field F, and let W be a subspace of V. - + dim Wº dim V.…

A: Direct sum of the subspaces

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Q: Given the polar curve r= sin(0) + sin(20) a) Neatly sketch the polar curve. To capture all the…

A: The given function is: θ π12 2π12 3π12 4π12 5π12 6π12 7π12 8π12 r 0.8 1.4 1.7 1.7 1.5 1 0.5 0…

Q: 3 se (z, y) # (0,0) f(r, y) = 2r2 +y? 1 se (r, y) = (0,0)

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Q: 1. Evaluate the given line integral, |(-y,x – y) · dR, where C is the upper part of x² + y? = 1 from…

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Q: Calculate the area of the region inside the circumference r = 3sinθ and outside r=2-sinθ

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Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

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Q: VI. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: Given E(x,-)-78 and N= 80, then the population standard deviation, a, is approximately O a) 0.975…

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Q: dz Let z = a? + y, x = 2st, y = s- t, s = u", and t= u sin w. Compute for and du %3D

A: We have that z=x2+y3x=2sty=s-t2s=uwt=usinw We will find ∂z∂w and ∂y∂u

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Q: how do you get the reflection across each line to reach step tw

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Q: Q5: Define nilpotent element. Are 1 and 3 nilpotent elements of Z9?

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Q: - am-1 = (m + 2)(m + 1)a,m+2 %3D

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Q: 9. I= set of all positive even integers, (a*b) = (a-b)/2 10. J= set of all positive odd integers,…

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Q: b) Write down a linear, homogenenous 2nd order differential equation with constant coefficients that…

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Q: 1. Evaluate the given line integral, | (2² – y,y) · dŘ, where C is the part of a = y? – 1 from (0,…

A: Note:-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Write each binary number as a base ten number 1 - 111 2- 1101 3- 10001

A: 1. (111)2 = (1x22 + 1x21 + 1x20)10                 = (4 + 2 + 1)10                    = (7)10

Q: 1. Consider A = (0,4, 2), B = (6,0, 0) and C = (3,0,-1). %3D %3D %3D | (a) Find the unit vector in…

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Q: .1) The general solution of the equation y" + y = -5e-* , is: - y(x) = Ce-* + e(Acosx + Bsinx) -e-*…

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Q: 15. A manufacturer is predicting profit, P, in thousands of dollars, on the sale of x tonnes of…

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