Show that <a, b | a5 = b2 = e, ba = a2b> is isomorphic to Z2.

Q: Consider the points A(2, a,0), B(0,1,B),C(1,1,B) where aand Bare negative real numbers. Find a and…

A: To add or subtract, two or more vectors add or subtract the corresponding components of each vector.

Q: Find div(V), where V= (x²+y² + z²)¯²(-3x, -3y, –3z].

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Q: Verify that (AB)T = BTAT.

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Q: 8. Which expression is the simplest form of V48 – 4V6

A: Simplest form: - When an expression is easiest to employ, it is in its simplest form. Given: - The…

Q: Write in the form a -/+ bi

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Q: 8) Write y-1= -(x + 4) in 3 standard form.

A: Given query is to write the equation of line in standard form.

Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

Q: Find x and y such that,  77815x - 8216y=(77815 , 8216

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Q: Evaluate | x + 2x + 3 xp- Vx* +x +1 -dx

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Q: What can you conclude regarding the numbers y and z if x z?

A: Given x&lt;y, x&gt;z

Q: 3xy If z determine 2x - 3y

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Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

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Q: If A = (2 m)^i - (3 m)^j and B= (1 m)^i - (2 m)^j, then A – B =(-1 m)^j Select one: True False

A: Given  A=2mi^-3mj^B=1mi^-2mj^Now, A-B=2mi^-3mj^-1mi^+2mj^A-B=1mi^-1mj^

Q: Calculate the commutators [p(hat)x3, x(hat)].

A: We have to calculate the following commutators. p^x3 , x^ Introduction: Commutation of operator A^…

Q: answer b and c are not clear, can you upload them again??

A: λ = 1.5 per week  P(X = x ) = e^-λ (λt)x / x! Where x = no of accidents  in a week As per above…

Q: TRUE or FALSE: A\B = A when A and B are disjoint

A: Given statement ,A|B=A then A and B are disjoint

Q: (b) Give an orthogonal basis for Span {X₁, X₂, X3}.

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Q: Evaluate [ V21+12x-9x²dx

A: The given integral ∫21+12x-9x2dx can be evaluated as, ∫21+12x-9x2dx=∫21+-9x2-43xdx…

Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

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Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

Q: Express as a polynomial.

A: given: a-ba3+a2b+ab2+b3 we have to express it as a polynomial.

Q: 5 G-45 + VE - 2)at

A: We have to find integral of the given function, here we use formula for integrating the polynomials.

Q: product of y64 · V8 can be expre

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Q: 2x³-3x²-6x47 вхая

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Q: Find A3 if A = {1, 2, a, b}

A: Given,      A=1, 2, a, b

Q: What is the difference between the minor of an element aij and the cofactor of the element?

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Q: Which

A: Using Pythagoras theorem, the length (L) of the rectangle becomes:…

Q: Compute: (1, 2, 3) ·(-2, 1, 0)

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Q: Does S={(-3,0,4),(5,-1,2),(1,1,3)} span R3?

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Q: Secza (3tan 2a - 4seczx blx

A: Given : ∫sec(2x)(3tan(2x)−4sec(2x))dx

Q: 1+x+y dzdyax Jc JO Jo

A: To evaluate the given iterated integral.

Q: the spacesC(A), C(U),N(A),N(U) are the same?

A: I will explain through an example

Q: is where mu an mt

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Q: Eliminate the arbitrary conutantu 2. %3D y= ax + be

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