(iv) Legendre symbol (523) (ab) = ($X ( ² ) ³²2 (v) || Is 104 a quadratic residue mod 59? Show reasoning.

Q: (13²-1| + |3²-3) da

A:

Q: 30 18) Rationalizing the Denominator: 4-V6

A:

Q: (n + )an-1(5) 6n(n + ) а, (1/3) -

A: In the given question we have to write infinite product expression of the given sequencegiven by…

Q: Which binomials are correct for the roots 7 and -2? F oudy O (x-7)(x-2) O (x + 7)(x-2) O (x+7)(x+2)…

A: The given roots are 7 and -2.

Q: What are the x² + 3x+ 2 factors of O(x-2)(x-1) O (x-2)(x+1) (x+2)(x+ 1)

A:

Q: EXAMPLE 1 Using a Calculator to Evaluate Powers of 2 Using a calculator, evaluate: (a) 214 (b) 2141…

A: (a) 21.4(b) 21.41(c) 21,414(d)21.4142(e) 22

Q: 132 dr 24 4x 32 Determine the numerical values of the coeffidents, A and 8, where A<B. A denominator…

A: use partial fraction to evaluate it.

Q: ID II Rewrite each item as an equivalent expression in exponential solved using exponent rule, state…

A: So we know thataxay=ax-y   and abx=axbx

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: (a)  Convert the following general expressions to standard SOP form:                           ABC…

A: given general expression is                                              ABC+(A+B)(B+C+AB)

Q: Assume we write 50 to the base 4, such that 50 (x)4, then x = Answer:

A: Assume that if we convert 50 to base 4 such that 50=(x)4. We need to find x.

Q: What is the coefficient of x6 in (x + 3) ¹º?

A:

Q: Simply the following. If the expression yields a non-real result, type NOT REAL a) (9n -9) - b) ( –…

A:

Q: Which of the following is the principal square root of - 4?(a) - 2i  (b) 2i  (c) - 2  (d) 2

A: The given number is -4. If N is a positive real number, then the principal square root of -N,…

Q: 1. Can you reduce this expression?  (x2 + 3x)/ (2x - 1) 2. Aren't there math symbols available on…

A:

Q: 1-cossquaretheta ) cosecsquaretheta =1

A: Solution is here

Q: What is the conjugate of 3- 2/5?

A: conjugate is where we change the sign in the middle of two terms . So ,conjugate is 3+2√5

Q: (t + 7)² – 49 lim

A:

Q: 13. Evaluate the following, no decimal answers only fractions 4-² x5-³ 4³x5 a) (5¹ (5)-¹)+ 5-14 d)…

A:

Q: 10) If the voltage, V, in an electric circuit is held constant, the current, I, is inversely…

A:

Q: O Simplify the following equation using positive indices only 39(3x+2)16(2x+0.5) 12 + 32(*)27(x+1)

A: Separate power of 2 and 3.

Q: Multiply (x2-y?)(x² +y?) using the distributive property and combine like terms. Generalize the…

A: The distributive property of multiplication over addition is as follows         a x (b + c) = (a x…

Q: What is the coefficient of x 9 in (x 3 + x) 5?

A: What is the coefficient of x9 in x3+x5.

Q: What is the conjugate of –7√3 – 2 ?

A:

Q: Use Pascal's Triangle to expand (1+x2)5. Express your answer in simplest form.

A:

Q: What is 13√3/26 in simplest form?

A: The solution is :

Q: What is the coefficient of x in (x-3)7

A: To find the coefficient of x4 in (x+3)7.

Q: 7+ [9 x (7÷1)]

A: 7+ [9 x (7÷1)]

Q: Use al-Kashi's method to approximate √2851 (including the fractional part).

A:

Q: By Contradiction prove that √5 is an irrational number.

A:

Q: Evaluate 02 3√2 0 1 3√2 0 1 |- √2 1|2 sino 4cos0 LLL rdzdrd0.

A:

Q: ((-2n)(n + 1))an-1(금) (3(n + 글) - 1) (2(n+ 글) - 1) an

A: Given,  an12=(-2n)n+12an-1123n+12-12n+12-1   . . . (1)

Q: Division in 12-clock arithmetic can be defined using two different approaches: a) The missing factor…

A: We have to show 10÷11=2 by missing factor approach in 12-clock arithmetic. Let 10÷11=x…