In |1 + cos 6| 0| + In |1 - cos e| = 2 In |sin 6|

Q: Let - [8] where at least one of a or b is nonzero and set wu. Verify that ||w|| = 1. u=

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Q: 6. How many mappings are there from A to B where A={1, 2, 3, 4} and B = {Low, Middle, High}. How…

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Q: Let U = {1,2,3,4,5), A = {1,3,5}, B = {1,3,4), and C = {2,3,5). (a) Find A U (BUC). (b) Find (AUB)…

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Q: Let U=(1, 2, 3, 4, 5, 6, 7), A=(1, 3, 5, 7), and B=(2, 5, 7). Find the set AnB AnB= (Use ascending…

A: Note: The complement of set A is defined as a set that contains the elements present in the…

Q: Let H = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f} Let W = {(a, b) : a € H, b = H} be the…

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Q: Show that R2 =

A: Then, V =Span(S), if every vector in V can be written as a linear combination of elements of S.

Q: show that }I f,lm) Ck-m) 2.

A: For, ∑m=0kf1mf2k-m, substitute k-m=n or m=k-n: ∑m=0kf1mf2k-m=∑k-n=0kf1k-nf2k-k-n…

Q: Give an ekample of o Pen set in R whose

A: we need to give the example of open sets whose intersection is not open. Note: Intersection of…

Q: If continuous or f differentiable is [ Select] on [a , b] then the [Select ] integral of definite or…

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Q: Prove that {i} = I. ¡El

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Q: use implicit differentation t. find

A: Implicit differentiation: In an implicit differentiation, we differentiate the given equation with…

Q: Let V = { a, e, i, o, u } andB = { a, i, k, u}. Find V – B and B – V

A: V-B= elements those lie in V but not in B  Hence, V-B={e,o}

Q: Is the following true or false? Z∩N=Z

A: Z is the set of all integers, i.e.  Z={ ..., -3, -2, -1, 0, 1, 2, 3, ...} And N is the set of all…

Q: Determine it this new def ot O wald make Va Vector Space

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Q: and -5 Compute ū - v. 2

A: Given    Formula :

Q: Let H = {0, +-4, +-8, +-12,....}. How many distinct left cosets of H in Z are there? Explain your…

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Q: Let U={1,2,3,4,5,6,7,8,9,10}. Let A={1,3,6,8,10}. Let B={2,3,5,7,8}. Determine (A−B)′

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Q: onil s 2 S = {v1,V2} = 4 5 7 8. a. Explain why S is linearly independent but is not a basis for R³.…

A: A basis for a subspace S of Rn is a set of vectors in S that is linearly independent and is maximal…

Q: Find the projection of u = onto v = . projuv =

A: We can find the projection in two form one is in scalar form and other is vector form. here i give…

Q: Let A = {a, b, c, d} and let R = {(a, a), (a, b), (a, c), (a, d), (b, b), (b, c), (b, d), (c, c),…

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Q: Let A, B and C be

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Q: Prove.

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Q: Use Pitman’s formula to compute the MREE of the location parameter in the uniform family U(θ, 1 +θ)…

A: In the given problem, we are dealing with a random sample (X1, X2,..., Xn) where each Xi follows an…

Q: Consider any U=(XeyJEV and

A: Given u=(x,y) € V and 0+u=(x,-y)€V

Q: Solue =Z, if and By using Direct melh od. e be

A: The given PDE is ∂2z∂y2=z.....(1)  If y=0, z=ex & ∂z∂y=e-x We shall find the solution of the…

Q: wok ha) z!lx Determine tHe domain and Range of It

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Q: Find a Linpar O peretor L with null Space (kernel)

A: We have to find the linear operator L with null space(Kernel) nL=excos2x,exsin2x

Q: |- Extends the set S={(-44,4} basis tor IR. to %3D

A: Basis of a vector space problem...

Q: Determine whether or not [2] is in sp span {1781-821-1931).

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Q: Find the general suhetion of to

A: Given a differential equation, y"+2y'+17y=0 To find the general solution.

Q: 7. Use set identities or different proof method to show that: (AUBY NA = Ø

A: