Let R = Z10 O Z100- (a) How many units does R have? (b) How many zero divisors does R have?

Q: 6. a. Find the two integers whose difference is 2 and whose product is 18. Let x-a number Let…

A:

Q: Why the final answer is 4sin(1+x)?

A: To simplify 4 sin 5x cos 6x+4 cos 5x sin 6x.To justify whether the final answer is 4 sin1+x.

Q: (a) Factorise z° + 1 over the real numbers.

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Q: a 3Da 十n2 n – 1 -

A: an  and an-1  have constant coefficient so that relation is linear Relation has n2 non-homogeneous…

Q: sten Find the Multiplicity and value for x: a) = (3x + 9)° (2x – 11) (4x – 28)“ - X- values are 3, E…

A: To find the multiplicity and the value for X.

Q: g9. Find the goD01, hent f remainer Using synthetic division. メー4 quotinent: remainder:

A: Consider  x4+x3-77x-13x-4

Q: Divide x - x4 + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x2 + 1 plus the…

A: Polynomial long division and synthetic division are used to divide two polynomials.  The degree of a…

Q: For А - 2аx + Зау + az and В %3 5аx - 2ау - az OAB is:

A:

Q: What is the value of x in ax- bx +3a - 3b = 0? %3D

A: Compare the coefficient of a and b .

Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

A:

Q: For f(x) = 3x + 2x, find the number c in (-2, 2) guaranteed by Rolle's Theorem. (Use symbolic…

A: Here given function  fx=3x4+2x2 it is a polynomial function thus it is continuous on [-2, 2] and…

Q: Assume that y represents a positive real number. What is the conjugate of Vy - 24?

A: y-24

Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

A: Let x1,x2 and x3 denote the number of 6000, 12000 and 24000 gallon capacity tank cars.

Q: xx+24=5x² fpyonbouy of anyos

A: We have xx+24≤5x2 Consider:…

Q: 15. Find x so that m || n. (5x – 20)°

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Q: For f(x) = 5x - 6, find the number c in (-2, 2) guaranteed by Rolle's Theorem. %3D (Use symbolic…

A: The objective is to find the number c in interval (-2, 2) using satisfying the Rolle's theorem, for…

Q: ,2 Evaluate x-6x +3 for x= 3+ i

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Q: al Find the domain and renge of the fincton y=2 5in (ar+TT)-1

A:

Q: Compute A−2 two different ways and show that the results are equal.

A: Given: To Find: A−2 two different ways and show that the results are equal.

Q: Find the quotient. x - 3x 4x – 16" x - 7x+ 12 -5x 4 -3.x+ 3 x+ 4 O 5 4.x * 3 x 4 O 4 3. x * 0, x *…

A: Given that: -5x4x-16÷x2-3xx2-7x+12 Now, x2-7x+12=x2-4x-3x+12=xx-4-3x-4=x-4x-3. Therefore,…

Q: 3tan(x)=2sin(2x) from [0, 2pi)

A:

Q: 1. Determine the number on y=-x+3 2x-3y -24 %3D

A: The red line represents y=-x+3 , and the blue line represents 2x-3y=-24

Q: Suppose z = 5 + -2i and w -5+ -4i. Then Im(zw) =?

A:

Q: Show that r3 + 3x² – 8 is irreducible over Q.

A: Here Q is a field and f(x)= x³+3x²-8 is of degree 3. Then by ROOT TEST we can say that f is…

Q: 22. Compute and completely simplify the difference quotient for g(x) = –3x² – 2x +1.

A:

Q: 15 Find the domain of y = 4Vx-8. 1 x 2 8. O x2 -8 O x28 Ox > -8

A: The given function y=4x-8

Q: 2.Let feSs Such that:- +2345 f=(345 find ?

A: Given f(1234534511)

Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: Find the 11th pair of x and y where x<0 and y<0 in 53x-81y=-126

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Q: Rewrite rnan(r – 2)"--2nan(x – 2)"- +n(n – 1)an(x – 2)"-2 n=1 n=1 n=2 in the form b, (r - 2)".

A:

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: Let f(x) = sqrt(x-1) Compute f1(5). Answer with a simplified fraction.

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

A: Given ,  A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined…

Q: Compute A−2 two different ways and show that the results are equal.

A:

Q: Let a, b, c, d be distinct real numbers such that a, b are roots of x - 5cx - 6d =0, and c, d are…

A: Given that, a,b,c,d be distinct real numbers such that,a, b are roots of x2-5cx-6d=0and c,d are…

Q: Z4×Z6 has an element of order 24. true or false ?

A:

Q: Alice is in a 20-km running race. She always runs the first half at an average speed of 2 km/h…

A: Alice is in a 20-km running race.She always runs the first half at an average speed of 2km/h faster…

Q: What value of x woula prove (8x- 31) (5y+ 35) (6x +3) m

A: The value of x is:

Q: Suppose an - 4аn-1 — 5ап-2 — 2ап з аnd a4 -21, a5 = 65, and ag = -165. Find a1, a2, and a3. a2 = az…

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Q: (ii) Hence, evaluate 37x² – 17x + 38 J, (x + 6)(x – 1)²"

A:

Q: When multiplied out, what are the first 4 terms of (x + 3y)'"?

A: Here we have to find the first four terms of x+3y10

Q: f (2) 2. Find if Ar) -(1-x²)(* -1) =

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Q: what is the multiplicity of -1 in x^4-2x^3-3x^2+4x+4

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Q: Pastaj shumezofil t x = 30 Prova: 30: 6-2=3√ 1 Zgjidhni këto ekuacione a 3x-1=14

A: Concept: A mathematical statement in which two expressions are rendered equal to one another is…

Q: Use complex analysis to prove the formula 2n n 7 7n V 3 n=0

A: It is given that

Q: If z1=1-i,z2=-2+4i.Evaluate |2z2-3z1|²_

A: We need to evaluate |2z2-3z1|2

Q: (a) Divide r – xª + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x? + 1 plus the…

A: Introduction: A polynomial is a very important real-valued function. The degree of a polynomial is…

Q: For f(x) = 4x + 12x, find the number c in (-4, 1) guaranteed by Rolle's Theorem. %3D (Use symbolic…

A: