Evaluate the following limits, 4- 3y2 – y y-2 6 - y - y? 3 - 7x2 + 14x -8 5. lim 12 -1 2. lim t=2 12 + 31 - 1 6. lim エ→ー1 2r2 – 3x - 4 3 (2z+ 22 22 +3 - 2 3. lim 7. lim エ→ー1 22 + 4 22 -x - 2 140 – 6x2 – 7x+ 1 x2 + 1 V2x - V6 – a 4+ x2 4. lim 8. lim エ→2

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

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A:

Q: 2. Use f(x) = 2x + 5 and g(x) = x^2 + x - 6 for following combinations. A. (f+g)(x) = B. (g-f)(x) =…

A:

Q: Find : (a) 4xSy³ + 2x?y-y-2x-4 0. %3D

A: Basic identities of differentiation is used along with the chain rule

Q: Determine the points of inflection of the following: 1. y = 3x4 – 10x3 –- 12.x2 + 12x – 7

A: Given:         y=3x4−10x3−12x2+12x−7

Q: vii. y = x²+6x-27 x²-2x-3

A: The objective of the question is graph the given equation.

Q: -6-5-4-3-2-1 у 6 5 4 3 2 1 -1 -2- -3 -4 -5 -6 7 123 456 X

A: To find the range of the given graph.

Q: pitch fork Bif X= rx+4x³ X=rx-ux³

A:

Q: 7. x - 4y = -10 -2x+8y= 20

A: Given

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A: given inequalities are,  8y>-10x+24y≤2

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A: Given: l=11yd, b=11yd, h=24yd We know that volumeV of cuboid is given by V=l×b×h…

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A: Solution

Q: 3. у %3D — 4 + 2х -4 + 2x -2 -1 1 2.

A:

Q: 11. Evaluate limä→5 19-2x-3 x-5

A:

Q: 15 Find the domain of y = 4Vx-8. 1 x 2 8. O x2 -8 O x28 Ox > -8

A: The given function y=4x-8

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A:

Q: 9. (-3, 5); y = x-4 4

A:

Q: For RA 3 and gx)x. find each of the following d. •ax-1)-(mplity your anawer) -ko)-Simplity your…

A: For function h(x)=ax2+bx+c    where a,b,c are constants. To evaluate h(k), replace x=k in function…

Q: Let y=-4x. As x approaches negative infinite then y approaches -3 True or False

A: Consider the statement Let y=-4x. As x approaches negative infinite then y approaches -3

Q: Evaluate. (- 2x) (5x- 8x) dx OA. + C O B. (x - 2x*)° +C 8 Oc. (x - 2x4)° + c O D. 5x - 8x3 +C 8 |

A: Topic: integration

Q: Determine the end behavior for y = 24 x2 - 6x° %3D O None of these O x->infinity, y->infinity as…

A: Topic = Function

Q: -2 -12 2 -2 수 2 -2 y y 2 2 x x

A:

Q: through: (-1, -3), perp. to y=* --X- 1

A: Our Aim is to write the equation of line passing through (-1,-3)and perpendicular to y=-13x-1 -(i)

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A:

Q: 4x2-5y2 If x 4, y = 2 and z = - 2, evaluate %3D y-z

A: In order to evaluate value of function at some point, Substitute given point in the function to get…

Q: dr. +27 Use the substitution method to evaluate

A:

Q: 10. Find the first three terms (10 Points)

A: Given data, an= -21+9n First term of the  series, n=1 a1= -21+9 = -12 Second term of the series, n=2…

Q: Evaluate the fallowincx: Lim ー- G+ 76 - 2J反 +- - 4x° 1 x2 メーマ-O 3 -8x+ 7x - 455 -飯 -5 x3

A: