a) ||x|| = (x1)² + (x2)² (Euclidian norm) b) ||x|| = (x1)² + 5(x2)² c) ||x|| = |x4| + |x2|

Q: Vx+5-3 b) lim x→4 х-4

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Q: lim, 1 2²-7x+6 z-1

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Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: It is given that, limx→-2x3+8x2+6x+8 and an identity is also given, which is such as,…

Q: Evaluate lim 2r²+1) X-1 3x2-2

A:

Q: For f(x) = (x + 3)*(x – 6)³(x + 5), list each real zero and its multiplicity.

A: Given function is f(x)=x+34x-63x+5

Q: 2 2 2- lim √√x²+4x-√x²+5 X-X

A: To find the limit as ( x ) approaches infinity for the expression (x2+4x​−x2+5​), we can simplify it…

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: Given limit limx→3 x3-27x2-9 We can write the above limit as limx→3 x3-27x2-9=limx→3 x3-33x2-32

Q: 1) Find the natural domain for the following: x +6 f(x) = 8- Vx2 - 25

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Q: -e g). lim [In(6x² + 5) – In(3x² – 6)] h). lim ズ→の

A: g) limx→∞ln6x2+5-ln3x2-6h) limx→-∞e2x-e-2xe2x+e-2x

Q: Which polynomial function would have the end behaviour of as x→ too, Y→ co? a) f(x) = 7x³ - 8x* -…

A: Topic = Functions

Q: 2x³-x+1 2x² +5x+12 What is lim X-00 2x² -?

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Q: what is the domain of  (x+8)/(x+1)

A: Consider the function

Q: V. (a) Find the product of: 1. (x+2)(x + 2) 2. (2x – 1)(2x - 1) (b) Make a general rule about…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A:

Q: Use Descartes’s Rule of Signs to determine the possiblenumber of positive and negative real zeros…

A: Given function is f(x)=3x^5-2x^4-2x^2+x-1Firstly,we count the number of changes in signs for the…

Q: Evaluate lim,→- V4x2–3x+2 х—2

A: To evaluate limit.

Q: ) lim (Vx+3 +Vx) 14

A:

Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

Q: 2x – -12x + 40 3x2 + x – 14 14) lím エ→2

A: We will find the value of the limit as following.

Q: 2) lim x→4 4x-x² 2-√√x

A:

Q: f(x+h)-f(x) for f(x) = 2x2 +11 : Find %3D

A: Given function: f(x)=2x2+11   To find f(x+h)-f(x)h, we have to need the values of f(x+h) and f(x).…

Q: (b) lim In(5x2 +3) – In(2r² + 1). -

A: Given :

Q: x6 – 3,000x5 lim x→-0 4x° + 10,000 9

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Q: a) Evaluate V9x(x² – 3x +2) lim (3х — 3)

A: To find the limit:

Q: lim m 42 -1 t² +1-2 ܐܝ: (b

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Q: Find (fig) and indicate the domain of the quotient f(x)=x²-10x+116 and glx)=x²-5x-24.

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Q: -√√√x² + 1 x2

A:

Q: Determine the domain of a) ({x|x-1xR}) x-4 2x+2 f(x)=; ({x/x = −1,x = R}) c) ({x|x*1,xER}) Od) {x/x…

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Q: Find the unique quotient q(x) and remainder is divided by g(x). Consider polynomials in What #f(x) =…

A: Solution: f(x)=2x4+x2-x+1g(x)=2x-1 To find the quotient and remainder we use long division method.