Let ​f(x)= −4x −​1, ​h(x)= -x - 4   Find ​(f◦​h)(6​).

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Q: FCX)=5 25 -x², X L5 F(X)

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Q: What happens to the values of h(x)=(x2 +2x-15)/(x2 -9) as x- > 3?

A: Our objective is to find the limit

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Q: Jg+X -J9-X

A: We are given 0/0 form so we find limit by rationalize the given function

Q: hy is x1 a free variable, and why does it become equal to 1?

A: We obtained x=x100 where x1 is free variable. by the way we haven't assigned any value for x1 here ;…

Q: use graphs to find approximate solutions 3 - 2-x = 0

A: The equation is 3 - 2 - x = 0 By combine like terms 1 - x = 0 That is x = 1

Q: derive X3  - 2x/ex

A: To find the derivative of x³-(2x/ex)

Q: Use initial value Xo = [-2, 1, %3D -0.5] -2X1+ X2 + X3 = 4 Хз — 4 X1 – 2X2 – X3 = -4 X2 + 2X3 = 0

A: We will solve this equation using the gauss-seidel method. so for that first, we use the initial…

Q: 3) -x² – 4x + y + 3 = 0 -x? - 3x + y + 3 = 0

A: Given that: -x2-4x+y+3=0             ..........(1)-x2-3x+y+3=0     .........(2)               NOTE:…

Q: diffelentiate y= In(登) 2X 3.

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Q: pt of y=x3-4x2+x+6 В. -3,—2. and 1

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Q: 2-X 2-x-Y dzdydx

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

Q: Solve for x if x=0 X²

A: We have to solve for x if x = 0 X2

Q: Differentiate 3x-1 2x + 3 with respect to 'x'.

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Q: Find de X ->/ X- / X -/

A: The limits can be calculated by inserting the limit in the function. If the solution is in the…

Q: 2 So Adx 4-x

A: We can find the answer as below.

Q: 3 + 2x g(x) %3D 5 - 8x

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Q: 0- V5 – x – V5+: -

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Q: Solve for x: +x²+.. +x"- 10 where x<1. -1+ - %3D ...

A: Given: -1+1x+x+x2+...+xn+...=103, where x&lt;1, To find: The value of x.

Q: Solve for x. xln(x) - 3ln(x) = 0

A: take ln(x) comman that is  ln(x)(x-3)=0 that is  ln(x)=0 that is x=1 and (x-3)=0 that is x=3

Q: f (x) = x2 - 7x + 10/x - 5, x = 5

A: We have the given function as fx=x2-7x+10x-5 On solving further by factorising the numerator part,…

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A: The given equation is  x+37=x-24  We have to solve this equation by cross-multiplication

Q: /1-y2 1+x2 اوجد الحل العام ل لمعادلة التفاضلية

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Q: Let a > 9 be a constant. Evaluate 3z2 + 30x + 30 + 4a dz (3x + a)(x² + 6x + 10)

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Q: 2 |12-x²+ x) dz. -3

A: Given: ∫-32(2-x2+x)dx

Q: ∫-21 (6-x-(x2+4)) dx= ∫-21 (-x2-x+2)

A: The given equation is,

Q: fo)-글x3-글 x2-6x +4 has

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Q: (2x) (0.1-x)(0.1-2x) こ>320 -

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Q: -X olx *2+2x+.

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Q: -2 kx 1<x<0

A: The probability density function given is, fx=12kx-2 , 1&lt;x&lt;∞0 , o.w Here X is the random…

Q: x² + ax - 2bx - 2ab – x - 2ax2 - 2bx2 dx x* + ax² – 2bx2 - 2abx

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Q: to す x²Y- X

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Q: Investigate the based on linearization 3 x = x₁ - x₁²³²+x₂z xr 394 - 292 6 Ac

A: This is a question of equilibrium and stability.

Q: x-2 ifx<2, 3x 2 if x2 -2

A: Given:-     To find:- Graph the equation

Q: Lime 4-X X-24 ら-Jx2キラ

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Q: Integrate x2

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Q: 1. y = -(x+3)(x+1)2(2x-5)

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Q: √2. y=x² - 4x and y=-x² + 2x.

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Q: max F(x1 ,x2) = x,x3 subject to 6xỉ + 3x = 72

A: Let the given function be  F(x1,x2)=x1x22    ….(1) and  G(x1,x2)=6x12+3x22-72=0    …(2) From…

Q: (-1, xS-4 2) f(x) = {2x + 2,-4 0 -8 64-2

A: We have to find the graph of the given function

Q: Eliminate the arbitrary constants in y = ex + c1e2x + c2e-3x

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Q: Eliminate the arbitrary constants for: y = 2x - c1e-x - c2ex

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Q: f(x) = 2x² – 4x + 2 on [–2,3).

A: answer is in next step

Q: By applying product rule to find y' 3 (1+x*) x4 - x*

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Q: f(x) = ((3x + 7) if x ≤ 4 ax-1 if x > 4

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.