In the field GF(pn), show that for every positive divisor d of n,xpn- x has an irreducible factor over GF(p) of degree d.

Q: (a) Given the vector field G=16xyi+12y]+(2-xy) use Gauss divergence theorem to find the net flux of…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Prove the following equation logb Assume b>0, b1, x>0, y>0. = logb(x) - logb(y).

A: We know that by the definition of the logarithm, if logba = c ⇒ bc = a .....   .... (1). We have to…

Q: Use algebraic techniques to determine whether the following function is even, odd, or neither. f(x)…

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Q: Computer, the correlation coefficient, using the following data. (Round to three decimal places.) X…

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Q: Let u = (-4, 8) and 7 = (-10, 0) Then proj= and perp= help (vectors) You might want to draw a…

A: Given-  u→ = -4, 8v→ = -10, 0 To find-  proju→v→ =      perpu→v→ =

Q: Give an example of (a) a composite number of the form 2º – 1, where p is an odd prime. (b) a…

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Q: A triangular garden has 6 plants in the first row. Each succeeding row has 8 more plants than the…

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Q: If you want to have a million dollars 40 years from today, how much should you invest in your…

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Q: What is 3600 sexagesimal seconds in radian?

A: Use the result , In Sexagesimal system, 1 degree = 1 minute= 60 seconds. Therefore, 60 degrees = 60…

Q: 5. Determine whether the following pair of lines is parallel, intersects at a single point, or is…

A: If the equations of lines are given in parametric form equate them to get the point of intersection.

Q: 21. C/G H(s) = 83 8.4.21 (p. 428) u(t-1)-1) + n(t-2)(t-2) = 0. -1)2 2 0≤t<1. 1≤t <2 122

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Q: F(t, x) = Σ B(X) the k! tetx et - 1

A: Since the generating power series for the bernouli polynomial Bk(X) is given by…

Q: What are the smallest one-sided Lipschitz constants and the smallest Lipschitz constants you can…

A: Given function are fx,y=−y, gx,y=1 and hx,y=y. We have to find the smallest one-sided Lipschitz…

Q: Suppose a company has fixed costs of $37,400 and variable cost per unit of 1 3 x + 222 dollars,…

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Q: 3x Use "intersect" on the GC to solve (round answer to 4 decimal places): x³ - 7x² + 5 = −³+8 32+8

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Q: Use the "mixed partials" check to see if the following differential equation is exact. f it is exact…

A: Given that dydx=-4x4+2y-2x+2y3(-2x+2y3) dy =(-4x4+2y ) dx(-4x4+2y ) dx+(-2x+2y3) dy =0compare to M…

Q: Moneysaver's Bank offers a savings account that earns 6% interest compounded continuously. If Jane…

A: Jane deposits 3300 (principal)  And rate R = 6% But I have fo find the compounded 3 years interest.…

Q: The average consumption per person per year of whole milk, w, can be approximated by the equation…

A: To solve this problem first we have to determine the value of t to corresponding to the year 2022…

Q: let, p add prime exit add primitive roots is also Each such that modulo 2 p? om g and XII 2 modulo…

A: Since we know that primitive roots for prime power pα exists and let g be a primitive root modpα,…

Q: 5. Determine whether or not the initial value problem dy dx has a solution. Is the solution unique?…

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Q: 2. If X={a,b,c}, then the following sets T are topologies on X except A. T={Ø, {a}, {a,b}, X} B.…

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Q: Juliana invested $3,150 at a rate of 5.50% p.a. simple interest. How many days will it take for her…

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Q: The initial tableau of a linear programming problem is given. Use the simplex method to solve the…

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Q: Let f(x) = x5 + 5x and g(x) = x5 + x2. Does f ∈O(g(x))? Does g ∈O(f(x))?

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Q: Show that the unit square [0, 1]2 is sequentially compact in the do metric. (Recall that do is the…

A: In this question, we have to show that the unit square 0, 12 is sequentially compact in the max…

Q: A custom guitar shop sells two types of quitars: electric and acoustic. The creation process of each…

A: 1st we will formed a Linear Programming Problem and then solve it by using Graphical corner point…

Q: 'X (y+2) y² = In x + 1 g(1) = -1 yCD: find the differential équation.

A: Let us consider the differential equation of the form dydx=f(x)g(y) The differential equation will…

Q: = riv11@morgar x FSA FAFSAⓇ Application | Feder x Log In | Federal Student Aid X…

A: Given line passes through two points (-2,2) and (-4,6).

Q: Use PMT= P י | כ to determine the regular payment amount, rounded to the nearest dollar. The price…

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Q: Solve for A 10. A= 5-2 1 2

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Q: State the Type, Order, and Linearity of the given ordinary differential equation dªy dy -(dx) 4 dxª…

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Q: Solve the following initial value problem: with y(0) = 6. (Find y as a function of t.) y = dy 5 + y…

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Q: Consider the following. -1 0 O (a) Plot the given points. 6 1 y 4 2 3 4 5 2 y -1 3 7 11 15 19 23 O…

A: a)Correct answer is option A) b) the best fit model is linear (option a)

Q: 1. Determine if the following two graphs are isormorphic. If they are give a vertex correspondence.…

A: To determine given graphs are isomorphic or not

Q: “The sum of the square roots of any two sides of an isosceles triangle is equal to the square root…

A: We have "The sum of the square roots of two sides of an isoscles triangle is equal to the square…

Q: The average consumption per person per year of whole milk , w, can be approximated by the equation…

A: To solve this problem first we have to determine the value of t that corresponds to the year 2024…

Q: QUESTION 1 Construct a truth table for: (r-q) ^ ("p v r). p T T T T F F F F 9 T T F F T T F F r T F…

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Q: What is the complex expression of the square root of (15+j20) using De Moivre's Theorem?

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Q: Question 1. Consider the function f(x) = ³x − 6 – ½ sin(2x). (a) Show that f(x) has a unique real…

A: Since there are multipart, therefore find the solution of first two parts.

Q: 8) lim (x,y) →(0,0) tan(√x²+y²) √x² + y²

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Q: Make a scatter plot for the given data. Use the scatter plot to describe whether or not the…

A: Given: In this problem, the given details are, The given x,y-plane values, x 9 7 2 6 5 11 8 y…

Q: Consider the the linear maps ƒ : R² → R² and g : R² → R² given by f((x, y)) = (x − y, 2 + y) and…

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Q: Estimate the series n= n to within an accuracy of 0.5. Hint: Find an upper bound on the remainders…

A: The given series ∑n=1∞1n2. We have to estimate this series within an accuracy of 0.5.

Q: When the constant" c" is eliminated in the relation 2y² + 2xy = cx², Which of the following is the…

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Q: Show that there is only one prime p such that p² + 20 is also prime.

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Q: Z F(z) FCZ) = e CZ-1) Sin (1) find and classify zeros and Singularities

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Q: Determine the eigenvalues of the inverse of the following matrix: 0 - 2 1 1 1 1 8-8-2 O 2,-1, -2 O…

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Q: (2) The Osaka Tigers basketball team play in a multilevel stadium. The most expensive tickets are in…

A: We have the sequence is 6800, 6550, 6300, ...   Part a The common difference is the difference…

Q: Given the space curve r→(t)=⟨2t,t2,2t⟩ Find the curvature (as an exact value) of r→(t) when t = 1

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: We will later see that the leading term determines the end behavior of a graph. If the degree of a…

A: Given: The end behavior of graph is shown in the picture below, To determine: Which of the…