Write in words how to read each of the following out loud. a. {xER* |0 1} c. {nEZ n is a factor of 6} d. {nE Z* | n is a factor of 6}

Q: Compute the following: (a) 4!, (b) (), (c) (₂), (d) (), (e) (7), (f) (2)-(2) where n is a…

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Q: Justify whether it is true to say that the given is the nth term of an AP  1+n+n2

A: We have to say that whether the given nth term is in A.P. where, 1+n+n2 We have given nth term of…

Q: Find a reduction formula for ∫sinnxdx, n≥2.

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Q: the fourth power of an integer is x, and x is between 100 and 600. What is x?

A: It is given that the fourth power of an integer is x.That is, x = n^4, where n is a positive…

Q: If A = {r|- 23 < x < 3how many negative integers does Acontain? Note that: 'I' means 'Such that'

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Q: SOLve the following LDES. Answer must be Integer z': 2 z; z (0) » (:) 1. Ans: 2 = a ()- + b %3D

A: To find - Solve the following LDEs  z' = 1201-12 z ; z0 = 35

Q: 1. Write the following in expanded form using powers of 10 a) 35 b) 9156= a) 835 = b) 6712= 2. Which…

A: We are given some numbers and we are required to express them in powers of 10. In the second…

Q: Find an explicit formula for an. 15) 0, -1, 0, 1, 0, -1, 0, 1, . . .

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Q: why

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Q: When C>0 and d is a positive integer, the expression (C) d is equivalent to which of the following:

A: We have to find similar expression to given expression.

Q: 10. If the product of N consecutive posi- tive integers is divided by N, the remainder is always (A)…

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Q: Which of the following expressions is equivalent to a(12a – 6b – 6a +96) ? A 6ab

A: we have to find expression equivalent to 23a(12a-6b-6a+9b)

Q: 3x = 11 (mod 20)

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Q: A student has scores of 78, 77.25, and 81.75 on his first three tests. He needs an average of at…

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Q: If 2x³ - 4x² + x + 1 = 0 so x = 4x² - 2x³ - 1 then |x5-x4] < €, X4 = 1.36603, x5 = 1.366024, is the…

A: As per the question we are given an equation and the approx root after 4th and 5th iteration of the…

Q: Find a simple closed expression for computing E=1k²Hx and verify your answer for n = 4.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: B. Simplify each of the following in factorial form. Do not evaluate. a. 12 x 11 x 10 x 9! b. 72 x…

A: The factorial of a integer number is the product of all the integers from 1 to the number. Factorial…

Q: Which of the following words represents X2+1 in GF(2) O 00010 O 01010 O 1001 O 101 O 10001

A: A Galois field, GF(pn), is a finite field with pnelements.  GF(2n) is a Galois field,in GF(2n) a set…

Q: 2x A In 9

A: here option D is true

Q: write out the first few lines of Pascal's triangle and then use it to expand (3x+2y)^4

A: To write: First few lines of pascals triangle and then use it to expand 3x+2y4. Calculation:…

Q: 16. Find the product. (x + 10)? O x2 + 20x + 100 O x + 100 + 10 x* + 10x + 100 O æ? + 100

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Q: nth term of an AP  1+n+n2

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Q: Suppose that x In(A) and y = In(B). Write the following expressions in terms of x and y (so you…

A: We are solving the first three subparts and for the next subparts questions post the question again…

Q: If 2x³-4x²+x+1=0 so x = 4x² - 2x³ - 1 then x5-x4|< €, X4 = 1.36603, x5 = 1.366024, is the error…

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Q: The sum of the nth row of Pascal's triangle equals 2". O True O False

A: Given that the nth row of Pascal's triangle equal to 2n

Q: 2 (a) Work out 14 x 4 – 24 ÷ 2. (b) Find a number between 80 and 90 that is a multiple of both 3 and…

A: We have to solve two subparts in the given problem.                        (a) We need to work out…

Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: If g (t) = d, where d is a Real number like in part 2, what happens if c = 0? Why?

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Q: Find an integer that leaves a remainder of 2 whan divided by either 3 or 5, but that is divisible by…

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Q: 1. Which of the following are equivalent to the expression below? SELECT ALL THAT APPLY. * k

A: we have evaluate the following

Q: 1 dr r/9 - 4 In(x)

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Q: Expand the following and simplify where possible.   In the answer box, use the caret symbol (^) to…

A: We have to solve the following equations: 1. 39+6x-9x-1+x-62x+1 2. 39+6x-9x-1x-6-3x2+1 3.…

Q: x², if x 2 and x 36 5. q(x) · 10 – x,

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Q: How many integer solutions to x1+ x2+ x3+ x4 = 36 are there for which æ1 > 5, x2 > 3, x3 > 5 and æ4…

A: We have to find the number of solutions to x1+x2+x3+x4=36 for which x1≥5, x2≥3, x3≥5 &amp; x4≥6.

Q: For help with question 8, refer to Example 2. 8. Rewrite each as a single power, then evaluate.…

A: According to our company guidelines we are supposed to answer only 3 sub parts, since you have asked…

Q: 7x =4 (mod 12).

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Q: Express the following using factorials: 10 x 9 x 8 x 7

A: Meaning of factorial of a natural number : Suppose n is a natural number then meaning of n! is…

Q: 4) a. If 35! = x, then find 33! in the term of x (without using calculator).

A: Given data is : 35!=x Then, 33! is given as: 35!=xx=35×34×33!33!=x35×3433!=x119033!=0.00084x

Q: 6. If x is any positive integer, which one of the following terms could be added to the sum of 2x +…

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Q: 2. S 2 ix X3

A: Given query is to find the value of the integral.

Q: 11) Evaluate the following problem: 311five - 24five

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Q: 12. -4(1-4) +3(-3)-1

A: Given expression can be simplified as follows.

Q: ss the following as a factorial: 6 x 5 x 4 x 3x 2 x

A: The factorial function tells us to multiply all whole numbers down to 1 from the selected number.

Q: Is it true that for any odd n the number 2" +1 is divisible by 3? Prove your answer.

A: We prove this by using PMI(Principle of Mathematical induction)

Q: How many integer solutions are there to 1 +X2+X3+X4+Xs=31 with

A: Given, x1+x2+x3+x4+x5=31 Number of Solutions when xi≥0 and xi&gt;0.

Q: 6) Which of the following is the correct equation usec 3x+1 122 O 3x+1=180 O 3x+1=61 O 3x+1=122…

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Q: 2 ) + ("**) = n²- .2 2

A: