Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: Given the series ŏ (-2)"** ydetermine the Smellest nthat レンい n' willallow Sny the nth partial sum,…

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Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

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Q: find a if A=8a

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Q: For the numbers 12, 13, 15, 17, 20 Compute: SX   SX2   (SX) 2

A: Given data is12, 13, 15, 17 , 20

Q: Find AB if A = [4 -3 3 -1 0 -2] and B = 4 Use the tools in the

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Q: A=[[3,2],[7,5]],B=[[2,6],[3,9]],AB=[[a,b],[c,d]] Determine the values of the entries in the product…

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Q: Find the dimension for M3,2

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Q: Find the following for p =, q =, and r =. Find -2p - r

A: Given that,    p = -7, -6  q= -1, -11, r= 0,9 we have to find the value of -2p-r.

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Let a = 2i - 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8

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

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Q: Find x, and x2- -52 28 -5 5 X2 40 X =

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Q: Evaluate for the given

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Q: Find the set (A∪B)∩C if A={0},B={1,2} and C={−1,0,1,2}

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Q: 2 1 x²dx -3x

A: Given:

Q: If z 2 = Rep, then write za+iß as Ae B

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Q: Find the zero-divisors of Z6.

A: To find The zero divisors of z_6.

Q: Find x if 2:3=x:15

A: 2:3=x:15

Q: Compute r2

A: Given the calculated values, t value, t = 2.17

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Given that A=6-j1 and B=2+j3, find A*B

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Q: For the numbers 1, 2, 4, 6, 8 Compute:  SX   SX2   (SX) 2

A: Given data is1, 2, 4, 6, 8

Q: make the following statement true x=-1 iff, if or only if x2+2x+1

A: Let's find.

Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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Q: Write the elements of the following in terms of powers of X: 1. Z₂ / 2.Z₂/ 3.Z3/

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Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: Add. x+1 X + 2 +52 x²+4x-5 x²-1 x(x-1) 2x+1 x(x-1) 2x²-1 x(x-1) x²+3x+1 x(x-1)

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Q: Z4×Z6 has an element of order 24. true or false ?

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Q: If y = 3 x + 1, then y 2 = _____

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Q: 10 Find t if y= lo08 lo98

A: Giveny=log 8(x2-104)=log (8)(x2-10)4Differentiate above equation with respect to x we get that…