Let K be a finite extension of Q. Show that K contains only finitely many roots of unity.

Q: Question 5*: 1130 lecture in the 2021 Fall term is 7. The average number of students at X University…

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Q: Find all the asymptotes of the curve 3x3 2x2y – 7xy? + 2y3 – 14xy+7y² + 4x + 5 = 0 ?

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Q: Find the number of zeros of f(z) = z' + iz – z + 2i in the upper half-plane.

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Q: 10 10 minutes after or 5. minutes before 5:13

A: Solution

Q: 16. Fishing Quadrilaterals are formed on the side of this fishing tackle box by the adjustable…

A: To explain: Why the shelves of a fishing tackle box are always parallel to each other no matter what…

Q: Express each one of the following in the standard form a + ib. 1 A: (1 + i)? (iii) 3 - i 3+4i 1+i…

A: standard form , a+ i b first part = a (real part second part = i b (imaginary part

Q: Suppose p is a prime of at least 3 digits (i.e. P > 100). For each of the following q (related to…

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Q: Please recheck and provide clear and complete step-by-step solution in scanned handwriting or…

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Q: 4. Determine the number of zeros of the function f(2) = 224 – 2iz³ + 2² + 2iz – 1 in the upper…

A: The complete solution is in given below

Q: Consider the relation being described by the following arrow diagram. Which of the these statements…

A: (i) It is given that ;      S = {6, 7, 8}  and  T = {2, 4, 6} And the relation between S and T is :…

Q: 1. (a) The reduced row-echelon form of the matrix A is shown to be matrix R, as given below: -1 3 -2…

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Q: Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to…

A: In the deck of 52 cards, there are total 4 6's. (One for each of hearts, diamonds, spades and clubs)…

Q: Write the dual of the following linear program. maximize 3.x1 + 4x2 – 2x3 subject to Xi + x2 + x3 =…

A: We have to find the dual of the linear programming problem.

Q: The complex conjugate of z is denoted as z̄. Solve z in equation: z-12=j(9-2z̄) giving the answer…

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Q: 1 -1 3 -2 1 1 -1 0 a | A = 2 reduced row-echelon form -2 2 -1 R=0 0 1 1 b %3D %3D -1 1 5 -4 0 0 0 C…

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Q: 1/5 Find the area of this trapezoid. Be sure to include the correct unit in your answer. 7 m 5 m m2…

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Q: V3 1. Find the exact value of 2 log3-). Show all of your work for full 9. marks.

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Q: 2. Let R be the region in the ry-plane bounded by the curves ry 1, ry =4, and the lines y r, y = 9x.…

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Q: nd all zeros of the polynomial function. Use the Rational Zero​ Theorem, Descartes's Rule of​ Signs,…

A: To find the zeros of the below polynomial fx=x4−16x3+50x2+152x+85

Q: The set of all even integers 2Z is a subgroup of (Z, +) Then the right coset -5 + 2Z contains the…

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Q: If f (x) = 4x +7 and f (z) goes through the point (2,4) then f (x) ... !! 12 + 7x a' + 7x +c where…

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Q: 1 Let f = 6. 6. 3 4 5 3 4 7 7 and g 4 1 1 5 7 2 6. 3 1 7 6 4 5 Write the following as a product of…

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Q: sinh (3tj) tcos(3-2)

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Q: Use three-point midpoint formula to evaluate the first derivative of y = x2 + 4x 5 at a = 0 using a…

A: Given equation is y=x2+4x−5. We have to evaluate the first derivative of y at x=0 using a value of…

Q: Find a root of an equation f(x) = 2x3 - 2x - 5 using Newton Raphson method %3D

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Q: Find the Re(z) and Im(z) z=logₑ(7+i)^4

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Q: What is the coefficient of xy³ when (2y-x)° is expanded by the binomial theorem?

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Q: Compute and report the 95% prediction interval for annual profit for a new restaurant in Kamloops…

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Q: determine the value of the parameter a that will make the function f(x) = [ax+1, x- -1

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Q: D2) Let A= Fid ABud BA al B.

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Q: Use induction to prove: for any integer n > 1, 3|(n – 4n + 6). Hint: this question is case…

A: We have to prove the given statement using induction method.

Q: 1. Find Solution using Newton's Forward Difference formula f(x) 1891 46 1901 66 1911 81 1921 93 1931…

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Q: (c) V = = O (i) x-axis O (ii) y-axis O (ii) (iii) x = a O (iv) y = b 9. (d) V = n [a - f(y)]? dy O…

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Q: Express 1+ cos a + i sin a in the modulus amplitude form.

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Q: Graphing Exponential Functions Graph the Exponential Function f(x) = 5(3)" by plotting the Vertical…

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Q: 2. If a, b, c, d > 0, use the properties of logarithms to simplify and then find the exact numerical…

A: We have to simplify the given logarithmic expression.

Q: Find the area of this trapezoid. Be sure to include the correct unit in your answer. 16 yd 8 yd 5 yd…

A: We know, Area of the trapezoid= (1/2)* ( sum of the length of parallel sides)*height unit2

Q: For az _and _and_ _and_ X= y = z = = z' For a = Or there are no solutions. For a = Or . X= y = z =…

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Q: Identify the Real and Imaginarg Part o the Complex number

A: Given the expression: z=(4+j3)sinh(3+j)+cos(3-j2) The real part in base is 4 and imaginary part in…

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: Let x represents the number of buses and y represents the number of vans. Given that, the rental…

Q: 2. Solve the initial value problem by the method of Laplace transforms: y" – 3y/ – 4y = 12e²ª, y(0)…

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Q: Use the second Taylor polynomial P (x) for f(x) = x² + cos(x) about xo = 0 and evaluate f f(x)dx. 7…

A: Evaluate the integral, using second order Taylor polynomial

Q: the value of y when x is equal to 0. The slope of the regression equation is the estimated ______ of…

A: Remark: A regression line is a straight line that interprets how a response variable y changes as an…

Q: Determine if the sequence an sin (20n) converges or diverges. If it converges, compute its limit. If…

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Q: G11. Can there be a graph with 8 vertices and 29 edges? Justify your answer.

A: see attached image below

Q: Which of the following is false? O ("2) = 2(") k ㅇ ") %3 (4") + (F) k n(n+1) (":"): 2 2 O ()² = (?)…

A: We have to check whether given statement is true or false.

Q: x if 0<x <1 Find the Fourier series expansion of f(x) = if 1<x< 2 of period p = 2.

A: The given problem is to find the Fourier series expansion of the given periodic function. Given…

Q: 7. (a) A computer is programmed to choose an integer between 1 and 99, inclusive, so that the…

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Q: y = cos(r) fonksiyonunun birinci mertebeden türevini z = noktasında h = olmakla 3-nokta aranokta…

A: Given function is fx=cosx. We have to evaluate the first derivative of fx=cosx at x=π2 and h=π4. The…

Q: Question Determine the value of p for the series below, using the fact that alo8»(n) = elog,(n)…

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