evaluate the following 3 Sim хусо х X b) lim e^ е X7-00 C) Sim x3 X700 3x+1

Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

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Q: lim, 1 2²-7x+6 z-1

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Q: Suppose (2, -3, 4) x (1, 7, a)= (-16, 12, 17). Determine the value of a

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Q: Evaluate Lim 2* _3² X> 00 3.

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Q: that guen iver ナ Imr that 0rove (Mn+^)I

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Q: a) g^-1 (3) b) g^-1 (4) c) g^-1 (6)

A: We will solve the problem

Q: Simplify. ((3z^(3))/(z^(-4)))^(-2)

A: We use the following:  a-m = 1/am  amam = am+n  (ab)m = ambm

Q: Simplify the expression using the prope 8y^(7)z^(5)y^(6)z^(3) Show your work there

A: We know,        x^(a).x^(b) = x^(a+b) We use this formula to evaluate the given expression.

Q: Evaluate: " 3x3-3х2-18х lim xsinx+2 sinx

A: Value=?

Q: lim x – Vx2 + 7x のーズ

A: To evaluate the given limit.

Q: Evaluate 9-x-3 lim x→0 6 3 О 1/6 -1/6

A: We need to evaluate the value of the following limit limx→09-x -3x

Q: must give each answer written 9+6log_(4)x=14

A: must give each answer written 9+6log_(4)x=14

Q: if y= 3t^2+t+2, x=(2t-3)^3 then dy\dt= 6t+5 false true

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Q: nd lim l Nx-3 and simplifu X-79

A: Given query is to find the limit of the expression.

Q: Evaluate 7x + 10 lim xS5 x - 5

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Q: evaluate, the pielewise finction at the indicated' values f6) =63 4x-5 if ×ム4 if X24

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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: 9. 8x + 13 x + 1 х — 4 22 — За — 4 - -

A: We have to find x

Q: Find the coefficent of x^6 in the following: (1 + 2x + 4x^2 + 8x^3 + ...)(3x^2 + 3x^4 + 3x^6 +…

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Q: folynomial PC-2) Sx-2x+6

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Q: HO Let A = 1 -21 4 and B = 3 2 3 5-6 -1

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Q: Is y= X^~2 an expon

A: Given; y=x2.

Q: x2-x-6 2) FIND limx-→3 x2-5x+6"

A: We will solve the problem

Q: Simplify x-1/2(x/5 – x) + (* ¬/5 – 1) (x^/?), -

A:

Q: ) Evaluate the fallowincx! 4x°- 6+ 7 - 2J文 + Lim 6x² + 7x6 -2 JX + 4 メ x2 メーマ-○ 3x3-8x9+ 7x - 455-飯…

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Q: a) lim, 2x-I- 3 222 | -1 312 + 5z + 2 7x +10 b) lim,5 7?-10z + 25

A: We have to find the limit of function.

Q: @ 2 show Hhat fox) = e*-x3+2 2+2 is a %3D Permutation on R.

A: In the give question we have to show that the function f(x)=e-x-x3+2 is a permutation on ℝ.…

Q: Lim 5火 +3 X-> 2Xー1

A: Here we have to find the limit value.

Q: 1 4 lim X + 2* х-2 In(2x-3)

A:

Q: Simplify:x^a*y^b/x^1-a*y^b-1

A: Consider the given expression.

Q: Show hat fog- 4x-1, 1)=4x-5 and 9(x) - 変文1

A: The given functions are fx=4x-5   and  gx=x2+1. This implies that,