Compute the following. 4! 6! ]*
Q: Suppose that [E:Q] =2. Show that there is an integer d such thatE = Q(√d) where d is not divisible…
A: We have given that, E:Q=2. Let E be a finite algebraic extension. Suppose α∈E-Q then minimum…
Q: Find the horizontal and vertical asymptotes of the graph of the function. (Enter your answers as a…
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Q: ht) Use a graph below of f(x) = In(8x2 + 1) to estimate the x-values of any critical points and…
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Q: Find c if a = 2.41 mi, b = 3.97 mi and ZC = 41.5 degrees. Enter c rounded to 3 decimal places. mi; C…
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Q: 43. If f(x) = |2x - 21 x² - 3 and g(x) 4x + 1 then (fog)' (2) = ? x<1 x 21
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Q: Find the x-values of the inflection points of f(x) = 4x4 + 54x³-42x² + 6. (Give your answers as a…
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Q: Evaluate the iterated double integral: LV1² e 23²-34²-12y dy da + dx -x-1 ILVE 2y³-3y²-12y dy dx
A: R1 and R2 are the region of integration. Both the integrand are same, combining two integration to a…
Q: Let X=[-1,1] and Y=[0,1], and define the function f:X-->Y by f(x)=x^2. Which of the following is NOT…
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Q: Problem 3. Let F and G be two functions defined as { and F(x)= sin - 0, " x G(z) = { ₁,² if x # 0,…
A: It is given that, F and G be the two functions defined as ; F(x) = sin1x,x≠00,x=0 And,…
Q: X, { 6-x, in a half-range (a) sine series; and (b) cosine series. Expand the function f(x): = if 0 <…
A: Given that fx=xif 0<x<36-xif 3≤x<6 (a) The half range Fourier Sine series of f(x) is…
Q: Suppose ʼn is a positive whole number. Simplify [n+1)! — n! × n. On! O 1 On + 1
A: 'n' is a positive whole number. We have to solve (n+1)!-n!×n Remember : n!=n.(n-1)........3.2.1
Q: Use Fubini's Theorem to evaluate the double integral ff f(x,y) dA, where f(x, y) = 7x − 8x²y² – 4y…
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Q: the line y=x closed, open, bounded or unbounded. Why or why not?
A: The concerned metric space here is R2 A set S is closed in the metric space R2 if all its limit…
Q: Prove or refute, using truth table or truth assignment test, S/I rules strictly, and resolution…
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Q: This problem set deals with the problem of non-constant acceleration. Two researchers from Fly By…
A: For a system: Ax=b, the formula for least-squares fit is x^=ATA-1ATb. The matrix: AT is the…
Q: A is an n x n matrix. Check the true statements below: A. A number c is an eigenvalue of A if and…
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Q: Question :- Suppose that of | -f1z) | = | on |2|=1. When is entire function and That_fR²) = C. 2².…
A: Given that f is entire entire function and f(z) =1 on z =1. To prove that f(z) = c·zn
Q: A new hybrid car sold in the United States reports a fuel usage of 38 mpg. Determine how many…
A: Here the milage of the vehicle is given in miles per gallon. So to convert it to kilometer per…
Q: (a) Use the Midpoint Rule for double integrals with four squares to estimate the surface area of the…
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Q: Determine the horizontal asymptote of the graph of the function. 2 X-4x +X-4 2 x-19 g(x)=- C OA. The…
A: Given function g(x)=x3-4x2+x-4x2-19we have to fnd the horizontal asymptotes
Q: Use the given information to find A. A-1 = 2 -3 4 NOTE: Write the elements of the matrix exactly.
A: As per the guideline I am answering only one question at a time. Kindly upload again and ask to…
Q: A company produces a special new type of TV. The company has fixed costs of $489,000, and it costs…
A: Fixed cost = $489,000 Cost to produce each unit = $1100 Demand function passes through (750,2400)…
Q: Enclosing the Largest Area The owner of the Rancho Grande has 3,044 yd of fencing with which to…
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Q: Determine the Nash Equilibrium by Backward Induction. Stop -1,-1,8 Go 5,-15, 10 Stop 5, 10,-7 Go…
A: Nash equilibrium in game theory is a set of strategies, where no player has the incentive to change…
Q: The regular price of a color TV is $489.08. During a sale, Hill TV is selling the TV for…
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Q: Task 1: Write a function that will show how much a passenger will pay given the distance (in km)…
A: as we have promo price of php 100 which does not depend upon distance and fixed cost php 250. so if…
Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…
A: For any triangle: ABC, using the cosine rule, it can be written that: BC=AC2+AB2-2AC×AB×cosA. The…
Q: Using the information below to create the initial simplex matrix. Assume all variables are…
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Q: The profit function for a company selling widgets is given by p(x) = -2x² +5x-2 where x is the…
A: For a function: y=f(x), the set of real values of x for which f(x) is defined is called the domain…
Q: Chris Gaal wants to purchase a car that costs $12,667 including all fees, taxes, etc. He has to make…
A: The expression: x% of y is same as the expression: x100×y. It is provided that the cost of the car…
Q: 4. 000 (a) (b) (c) (d) Let T: R³ R³, suppose we have 2 sets of bases: ß= {₁, 2, e3} and a = (e) If…
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Q: Find a polynomial p(x) in Q[x] such that Q(V1 + V5) is ring- isomorphic to Q[x]/{p(x)).
A: We need to find a polynomial px in Qx such that Q1+5 is a ring isomorphic to Qx/px. We know that if…
Q: Q3. a. Using Recursion Tree solve the following: T(n) = T(n/3) + 2T(n/2) + cn² b. Please let us know…
A: Using recursion tree method: minimum height is: log n base 3 which I have shown is…
Q: Solve the system of normal equations. (I don't want you doing this by hand. Use a calculator or…
A: The polynomial of degree 4 can be defined as: P(x)=a+bx+cx2+dx3+ex4. Here, a, b, c, d, e are…
Q: Determine the positive real root of f(x) = (0.8 -0.3x)/x: 1) Analytically. 2) Graphically. Choose…
A: The given equation is: fx=0.8-0.3xx and initial guesses are 1 and 3. To Do: Using the method of…
Q: 1. Solve the differential equation y"+3y= sec(√3t).
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Q: Find the eigenvalues of A, given that A and its eigenvectors are ₁ = V3 = 0 - V₂ = 4 -12 9 0 0 -2…
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Q: Problem 2. Give but not homeomorp
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Q: Problem 1. If SC R is homotopy equivalent to a point, we say S is con- tractible. Which of the…
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Q: Prove directly from the definitions that if an→ +∞o and {bn} is a se- quence of positive terms…
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Q: Find the general solution to the following problems a) x²y" - xy' + y = x² + 1.
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: 14 when 0 < x < 1, when 1 ≤ x ≤ 2, elsewhere, find the distribution function F for X. 6. If f(x) = =…
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Q: X = W = span{ a. Find a nonzero element X in W. 16 8 Y = -3 3 31-12-2 b. Find an element Y in V that…
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Q: 4. Define a relation R on N by aRb if a and b have no common factors except 1. (a) Give an example…
A: We have define a relation R on natural numbers (N) by aRb if a and b have no common factors except…
Q: d) If it snows today, the university will close. The uni- versity is not closed today. Therefore, it…
A: (d) Statement : If it snow today, the university will be closed. The university is not closed today.…
Q: an Find an equation of the plane cons isting 619 of all points that are equidistant from A (4-9, 9)…
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Q: He Wa Salve the following.. ...…....….…..6.x.)ÁX. (3x²+2 y.).dy = 0. 2
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Q: Find the last digit of the decimal (base 10) expansion of 32823
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Q: Use two of the three coordinate systems we covered to setup (but do not evaluate) a triple integral…
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Q: Use the definition of Laplace transform only (no tables) to find Laplace transform of f(t)=4te7t
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