Extent of the Fun ction y= 2 sgn (X+2)

Q: lim (4x – 3y)= -11 Prove that (r.,v(-2,1)"

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Q: lim (Vx² +1 – (x+ 1))

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Q: k(x) = (1+ x²)etan-(x)

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Q: lim (3x + 1 x2 3 +00 indeterminate

A: Proceed as shown below

Q: lim x approaches -3  x + 3 /[x2 + 4x + 3]

A: Given: limx→-3x+3x2+4x+3 Apply the limits. limx→-3x+3x2+4x+3=-3+3-32+4(-3)+3=09-12+3=00 As, it…

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: Find a positive number x such that the sum of 4x and is as small as possible. Does this problem…

A: Solution is given below:

Q: lim 1. m, n > 1 is

A: We try to find the limit by substitution

Q: Find each limit, if it exists.

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Q: find the anti- deriva tive of the fun cticn: fcx) = 4 cSca cotx - Secx cot x

A: Derivative of function

Q: 3 lim WrZ_3K -x). x2-3X

A: The value of the limit is, - 3/2 The detailed solution is as follows below:

Q: lim 1 4 X + 2* x-2 In(2x-3)

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Q: lim (nx{n(x -1)=? Use L'Hospital's Rule

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Q: 2n lim 4k2 + 3n2 k=1 n00 tegral

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Q: 10+ Concave up on the intervalcs): Concauc down on the intervalcsso 4- 6 There is an in flection…

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Q: lim 3-V5+x 24 X-4

A: This is one of the simplest topics of algebra i.e. limits and this question can be done with just…

Q: Find supply Satisfies dp funcfion x=f(p) that 2=Plp²-25 and initial yot Candition =900 loheu p %3D

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Q: 6x + 1 = -6(1-x)  please show work

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Q: х3 + 2x2 + х 1. iim х->-1 2x2 —— х — 3 х3 + 2x? + 7х 2. lim X→-2 2х — 3 х3 + x2 + 4x 3. lim X→ー3 2x2

A: 1) limx→-1x3+2x2+x2x2-x-3Apply L-Hospital…

Q: lim 3X + x?+2 X-> X+ -2 2X +X2 V 3h +4 -2 lin!

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Q: 2. Triangle FGH with verlices F(1,8), G(5, 7), and H(2, 3): y-x F' G' H' - 177

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Q: %3D R is Rectangle ļ (Xxy); -1SXEI, -1k YE13 what are the ciitical paints and the absolute max and…

A: Given function  f(x,y) = x2 + 3y3 + 9y2 - 3x  Then fx(x,y) = 2x - 3  fy(x,y) = 9y2 + 18 y  fxx(x,y)…

Q: c) Without using L'Hopital's rule find х3+7x2-14х+6 lim х>1 х5—х4+8х3-8х2+16х-16

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Q: lim (2f(x) + 3g(x)) = x--3

A: Given

Q: lim  (2x+x1/2) /(3x2-1)1/2  ? x--> infinity

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Q: lim Vxe 2

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

Q: limit of x to infinity Square root(x^2-2x+1)-x

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Q: 8. lim (2x – V9x² + x + 5 n-+00

A: limx→∞2x-9x2+x+5

Q: lim x-3-j 2 x²-8-j6 2x²− x³ −3l+x −j37

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Q: The graohg of the funcation f(x)=ax^2+bx+c has vertex at (1,4) and passes(-1,-8). Find a,b, and c

A: Given equation f(x)=ax²+bx+c has vertex at (1,4) and also passes through (-1,-8) To find a,b and c

Q: Ql Find the Ligit hor the hollowing fun drogs mlim -2x-4 メ→-2 ×3+2メー 2 lim 4-x メ→タ 5- g to

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Q: Please see attached equation image as I didn't want to enter it incorrectly in this text box

A: Given function is h(x) = f(g(x)) where The function h(x) is given by:

Q: 3x3 lim (r,v)→(1,-2)! - xy2

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Q: feal= 4-x², x70, Finel!- U show thaf f has B Domoin fcos ? Hiw on inverse Funfon? fcay ?

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Q: X2 4 3) lim メーや2 3-Jx2ょ5 it

A: We will find the solution of this problem.  Here,  we will use L.HOSPITAL. RULE.

Q: lim 2 + 9x° (1 + x ) ( 3 + x* )

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Q4 lim 2-Ze) What is ó it the following inequality holds for every x approaches zero: 2-2cos(x)…

A: According to sandwich theorem, if for every value of x, the inequality fx≤gx≤hx holds true then, for…

Q: 2. lim f(x) = x²– 4x +4 х 2 Use the domain [-9,6] to draw the graph. X X -2

A: Firstly, See the graph of (x² -4x +4)/(x-2) , -9≤x≤6

Q: Solve z4-1 lim z→i z-i

A: The given expression is: limz→iz4-1z-i

Q: lim *2+x-6. x²-4 2–4 is x-2

A: If we put the value of x as 2 in the given expression, The form will be 0/0 Because 0/0 is of…

Q: ind the definite integcal uoing any method. 3/2 x13-2xdx

A: Follow next step

Q: IA is the funclion glven by A(x) - (acx), where f(x) - 3r- 1 and g(x)- Irl, then which of the…

A: From the given function: fx=3x2-1  &  gx=x And hx=fgx

Q: 2-9x +20, lim r-4 x- + 2x – 24 2х -24

A: To evaluate the given limit.

Q: lim 2V3. +onx 2cosx+1 %3D 6.

A: Our Aim is to evaluate limx→π623×tanx2 cosx+1 -(i)

Q: lim / exp(-nz)r*dr = 1. 2.0 3. 4.4 1 2 3 4

A: We know the result that : limit of integral is equal to integral of limit. Use this result to find…

Q: Addition of Funetions: 1. f (x) = 45x - 79; g (x) =-89x - 40 f (x) = 135x2 - 15x + 32; g (x)= -45x2…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 10 - f(x) = 1 center of symmetry of the fun х-3

A: Given that: f(x)=3x+1x-3

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.