Use DeMoivre's Theorem to find the following. Write your answer in standard form. (-4 - 41) 3 O- 128 /2 128 - 1281 O - 128 - 1281 128 + 1281 O - 128 + 128i

Q: Express the following statement using N-notation.: 12 (3x + 4) for all real numbers x > 2. x + 2

A: Consider the given statement.

Q: Use pascal's triangle to expand and write the simplified form of (3x + 1)4 and determine the…

A: The given expression is 3x+14. We need to expand the given expression using pascal's triangle and…

Q: Find x, and x2- -52 28 -5 5 X2 40 X =

A:

Q: Determine positive integers A, B, C, D, E and F such that 9n-14 6x2 -132-5 A Bx+C Ex-F A B = C = D =…

A:

Q: Evaluate or indicate that the root is not a real number √(25 - 16) ?

A: Given(25-16)

Q: Determine positive integers A, B, C, D, E and F such that 12x-13 D Ex-F 6x²-13-5 A= C- D= E Bx+C +

A: Solution: - The given equation is 12x-136x2-13x-5=ABx+C + DEx-F then , we have to find the values of…

Q: (x² – 7 x + 11)*-1 = 1

A:

Q: N=3 3 and4i are zero

A: Explanation and solutions is given below....

Q: Prove: (a) 2ab <a² + b²; (b) ab + ac + bc < a² + b² + c².

A: According to the given information, it is required to prove the following. For part (a)

Q: 26 + 4 × [9 - (1 + 4)

A: Given that  26 + 4 × [9 - (1 + 4)] To simplify the expression

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Find the coefficient of x7 in (1 + x + x² + x³ + x4 + ...)¹3

A:

Q: (b) Consider the following set of real numbers 2n 4-{²₂²REN} :ne n+2 A = Answer the following…

A: We have to find the supremum of

Q: Find two positive numbers, x and y, whose sum is 236 and whose product is as large as possible. The…

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.