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Q: Prove that the set of numbers ℚ(√2) = { a + b√2 : a, b ∈ ℚ } is a field. (You may use that ℝ is a fi...

A: The objective is to find that ℚ2=a+b2:a,b∈ℚ is a field. Closure: a1+b12∈ℚ, a2+b22∈ℚ Then a1+b12+a2+...

Q: For each pair of integers r and s below, Find the greatest common divisor d. Then, find m, n, such t...

A: To determine the greatest common divisor, d and then to find m and n such that d = mr + ns. (a) r=32...

Q: Need help on this one thanks!

A: We know that definite integral can be approximated using the Reimann sum. The integral ∫abf(x)dx is...

Q: Let G be an abelian group and suppose that H and K are subgroups of G. Show that the following set i...

A: According to the given information, Let G be an abelian group and suppose that H and K are subgroups...

Q: A. Represent each of these relations on {1, 2, 3} with a matrix (with the elements of this set liste...

A: Hey according to our policy I m answering the A part of both a and b . To get remaining parts answer...

Q: Suppose that Co C Cg... is a sequence defined as follows: o = 2, c, = 2, c, = 6, C = 30,- for every ...

A: Given that c0,c1,c2,........is the sequence defines as c0=2,c1=2 and c2=6 ck=3ck−3 for every integer...

Q: Can I please get assistance with this question?

A: A is not true as 10 devides 30, but there is no connection in A. C is not true as 20 does not devid...

Q: A glide reflection having axis of reflection as shown below sends point P to point Q. The image of p...

A: A glide reflection is a composition of a reflection and a translation, where the translation is para...

Q: BERNOULLI's EQUATION

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Q: Solve the related phase plane differential equation for the given system. Then sketch several repres...

A: dydtdxdt=5x-yx-885y-xy-88dydx=-x-8y-8∫y-8dy=∫8-xdxy22-8y=8x-x22+cy2-16y=16x-x2+Cx2+y2-16x+y=C

Q: Give the Dedekind cuts in ℝ ≥0 corresponding to the following. Your definition should not refer to t...

A: Consider two subsets L (lower) and U (upper) such that the pair of subset L, U is a Dedekind cut if...

Q: f(x) = 3xV3x² + 3 (A) Find the critical values of f(x). Separate your answers by a comma. If there a...

A: Hey, since there are multiple sub-parts posted, we will answer the first 3 sub-parts. If you want an...

Q: Note: " This problem requires the use of a definition of Partial Derivatives, not a brute force calc...

A: Click to see the answer

Q: Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/...

A: Let the revenue from the digital sales of pop/rock music be $x million, that of tropical music be $y...

Q: Find a cubic polynomial f(x)=ax3+bx2+cx+d that has horizontal tangents at the points (-5,4) and (3,-...

A: Let the cubic polynomial function be fx=ax3+bx2+cx+d. It is given that the function f(x) has horizon...

Q: Consider the integral shown below: 4 ∫ ((e^x)ln(x))/x dx 1 Evaluate the integral using:...

A: given the expression is , ∫14((ex)log(x))/xdx

Q: please solve completely very soon

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Q: Let R = ℤ/3ℤ, the integers mod 3. The ring of Gaussian integers mod 3 is defined by R[i] = { a + bi ...

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Q: 2 x sin xy + x² y cos xy ) dx + x³ cos x y dy = 0

A: We have to slove given differential equation: First we need to check type of differential equation:

Q: Ted Glickman, the administrator at D.C. General Hospital emergency room faces the problem of provid...

A: a) The required number of doctors 9 A.M to 3P.M λ=8 patients/hourμ=4 patients/hour The utilization f...

Q: tind the values of.c such that the orea Of the region bounded by the parabolae ond y=c?-x? i5 72

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Q: Slove for saddle point(s)

A: Given, f(x,y)=y2-8y cos(x), -1≤x≤7. We calculate the first and the second partial derivatives, fx=8...

Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution, ent...

A: The given system of equation, 5x − 7y = 2 20x − 28y = 8 Here we solve the system by gauss Jordan row...

Q: < Previous Ne -883 + 8s2 – 128s + 8 (s² + 16)(s² + 1) Find the inverse Laplace transform f(t) L-'{F(...

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Q: secant slope from the left: secant slope from the right: Ay Ду f(x) f(x) Ax Дх -3.5 -2.5 -3.05 -2.95...

A: Given the graph of the function f(x)=25-x2We have to approximate the instanteneous slope at point A:...

Q: Tell me which one is true and Which one is false ?

A: a. True Consider the differential equation y"x+y'x-12yx=0 Its auxiliary equation is m2+m-12=0m+4m-...

Q: b-give the simplifications made on a Newton-Raphson load flow which yield the fast-decoupled load fl...

A: Click to see the answer

Q: Suppose that the marginal propensity to save is dS dy = 0.3 − 1 y + 1 (in...

A: Given that marginal propensity to save is given by dSdy=0.3-1y+1. We know that, marginal propensity ...

Q: 4. Let X and Y be metric spaces and f : X → Y be continuous. Let SC X. Show: (b) If S is compact, th...

A: First, we prove that fS¯⊆f(S)¯. Given that f is continuous and S¯ is compact, we can say f-1Y-f(S)¯ ...

Q: Problem 4: Find the line equation for the line which passes through (1,3,4) and is perpendicular to ...

A: According to the given information, it is required to find the equation of line that passes through ...

Q: Lee Sutherlin is a self-employed electrical consultant. He estimates his annual net earnings at $38,...

A: Lee Sutherlin's net earnings is $38,700. For a self employed person social security and medicare tax...

Q: Us the function f(x) = 2-(x-2)^2

A: The given function is f(x) =2-x-22. The given interval is 0,2. That is, a=0 and b=2. Use an online...

Q: Find the coordinate matrix of x in R" relative to the basis B'. B' = {(4, 3, 3), (-11, 0, 11), (0, 9...

A: The given vector space is with basis B'=4,3,3, -11,0,11, 0,9,2. Consider the vector x=26,3,-19∈R3. ...

Q: 3. For any real number a, verify that the functions y, = a + cos r and y2 = a + sin z are solutions ...

A: First let's check if y1 and y2 are solution of given differential equation by substituting y1 and y2...

Q: You have been hired by Coming Up Roses, a local greenhouse and nursery, to nandle their accounts pay...

A: If the payment for 15 days : Discount=$215,000×5% =$10,750 Remaining amount=$215,000-$...

Q: Advanced Math Question

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Q: The half-life of krypton-91 (91Kr) is 10 s. At time t = 0 a heavy canister contains 3 g of this radi...

A: As, m0=3, Answer is m(t)=3.2^(-t/10)

Q: 9. In the diagram, OABC is a parallelogram. The point D lies on BC produced such that CD = 3BC. AD i...

A: (i) OB→=OA→+AB→=OA→+OC→=2p+3q (ii) AC→=AO→+OC→=-OA→+OC→=-2p+3q

Q: Help ASAP

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Q: Let G be a group and suppose that G only has finitely many distinct subgroups. Show that |G| < ∞.

A: If possible let G is of infinite order .In particular let G = {a1,a2,...,an,...} .Let us consider...

Q: 1. From the definition of the Laplace transform, compute L(f(t) for (a) f(t) = 4t (b) f(t) = e2t (c)...

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