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Q: HW6 Proue →1<a = | <aca

A: We have to prove that  For all a &gt; 1, we always have 1 &lt; a &lt; a2 .

Q: O Prove 1+3+ 9+27+ ·+ 3n-1 = 3"-1 for any positive integer n. %3D

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Q: 1) 6' 2) 62 3) 8* 4) 2

A: NOTE: As per our answering guideline expert can solve only 1st question among the multiple questions…

Q: How to write 0.014 (014 recurring) in the form p/q.  (Where p,q are elements of real numbers.)

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Q: 6. TRUE or FALSE?

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Q: - 25 -dr (x – 4)(x + 1) Evaluate

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Q: A. x|x=1 B. x+3/3=x+1

A: Given: A. xx=1B. x+33=x+1

Q: 3/2 Evaluate xp (1+x)'

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Q: Express the interval shown on the number line in interval notation. -12 -10 -8 -6 -4 4. 6. 10

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Q: so-Z of what is 21

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Q: A= 12- 273 2 L1 -1 1 -1 3-4.

A: Power and combination of matrices

Q: Prove an+1 = (an2+ 1) / 2 with a1 = 2 is monotonic increasing.

A: Solution:-

Q: Which of the following expressions is NOT equivalent 36 ? to x

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Q: P show that (α) |=1 = 12/

A: A detailed solution is given below.

Q: Evaluate the following * 5 Sa 4x - 1 In(4x - 1) 4 O II -dx + C 5ln(4x - 1) 4 + C 5ln(4x − 1) + C 4…

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Q: fond ft8> 1 in the domain (3-8) (3-) 1< 13-91<2

A: Introduction: The Laurent series of a complex function f(z) is a representation of that function as…

Q: a. (f+g)(-4)

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Q: O True (²7.¹7 (²77)) ²1¹7A (2)

A: This expression is False

Q: Let Find formulas for the entries of M", where n is a positive integer. Hint: a formula such as 5…

A: Given that the matrixM=16-147-5

Q: dr (In |x + xl) = |2x + 1| False True

A: We are asked to find whether the statement is true or false.

Q: Evaluate 00 x²dx 1 – 2cos20 x² + x4 -00 where 0 < 0 <T/2. Please also make comments.

A: We can solve this integral by integration method

Q: For the following claim Below you must disprove it. "For all integers x, x^2 + 1 is odd" Use the…

A: for example take x=3 .  then x^2 +1=10 , which is even.

Q: True or False? |{1,3,1,3,2}| = 5.

A:

Q: fond the Coefficient Ef e in The for//<1 |-20 per 17/2/199- to wanadda t4

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: -号。 - 4X u (x,o) =3 e 2 , ニ0 y2 Ansl ux,y) = 34(メ+) Ans.l ucx,y) 3 e %3D

A:

Q: Let Find formulas for the entries of M", where n is a positive integer. Hint: a formula such as 5…

A: The given problem is to find the entries of Mn for the given following matrix M. We have to find the…

Q: ange the functions √, 1000 log n, n log n, 2n!, 2",3", and 1,000,000 in a list so that each function…

A:

Q: Evaluate E=z P₁ 91 P2 0 n₁ n₂ X₁ for z* = 2.575, x₁ = 37, x₂ = 77, n₁ = 43, n₂ = 91, P₁ = ₁ E=…

A: Given,x1=37 , n1=43x2=77 , n2=91

Q: In binomial if g(x) =0, then

A: Given:  gxnx=0                                        (1)

Q: Evaluate, csc-(i) O -i In(1+ v2) O -i In(v2) O -i O i In(1+ v2)

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Q: o Let A-

A: The given matrix is : A=1-111 Calculate the value of norm A∞. We know the formula of the infinity…

Q: an (b) Explain what it means to say that n=1

A: According to question,Given expression,∑n=1∞an = 12

Q: 6. If *" =x for all x # 0, which of the following must be true? A m-n35 m+n35 m/n-5 mn-5 E mn 5 15.

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Q: 1a.) 0x**3  + 9x**3  1b.) 4X**3  - 9x**5  1c.) (3x   + 1x**3) + 2(9x**3 +(-3x)) 1d.)…

A: 1a.) 0x**3  + 9x**3 1b.) 4X**3  - 9x**5 1c.) (3x   + 1x**3) + 2(9x**3 +(-3x))1d.)…

Q: S Evaluate L-'{- | (s² + 144)(s – 8)

A: We have to evaluate  L-1ss2+144 s-8.   We know that L-1ss2+a2 = cosa·t L-11s2+a2 = 1a·sina·t L-11s-a…