Write the expression as a single logarithm. Express powers as factors. In (-) + In (2)-In (x²-81) In+n(-n (x²-1) -

Q: 21 2. 6.

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Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: n is the same as 239 added to the product of 238 and z

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Q: Solve the proportion. X-4 6 8

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Q: -7 5 1 9 0 -2 -1 2 -1 4

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Q: 4n – 1

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Q: 3. 3 de dy 40

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Q: -2- 4- 3 10

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Q: 7/2 + 3 4/6

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Q: 22n+1 3n+1 2.

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Q: Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

A: We have to find the Laplace transform of given graph in term of unit step function

Q: 7 11

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Q: Let Mbe as in Equation (3.14) and let X = [1, 0, ½]¹. Show that the entries of Y=MX sum to 1.

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Q: -8 - 12

A: Given problem is

Q: 4(5+6)=

A: Given: 4(5+6)=

Q: 0 1 2 4 0 2 4 0 0 3 9 12

A:

Q: Match the possible graph for the function f with the specified properties: (i) the domain of ƒ is…

A: The function has properties,(i) the domain of f is -5,5(ii) f-5=f0=f5=5(iii)…

Q: -3 -10

A: The given equation is:  -3   2÷-10    7

Q: Identify the coordinates of the point in polar form based upon the given conditions. Use pi for T. r…

A: We will evaluate the required value.

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: -4(9-7)

A: We simplify the expression              −4(q−7)by distributing -4 through the…

Q: 11 35

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Q: 11 –/7

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Q: 1 3 8.

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Q: 8y3 + 216

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Q: limx→2 f(x) = lim, ¹x→−1+ f(x) =

A: Given graph of the function fx is   1. Find :  limx→2 fx. 2. Find :limx→-1+ fx.