For a convex set SC R", what is the normal cone Ng(x) of S at a point x € S?

Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

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Q: Classify the following equations as Fredholm, or Volterra, linear or nonlinear, and homogeneous or…

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Q: Let a ER and let: 1 -2 2 1 = (1 ) A 1+ a 4+a -2-a a a You may assume without calculation that chÃ(x)…

A: Kindly refer to Step 2 for the solution.

Q: 13.) Let F be a field F be a subfield of E. The mapping : F[x]-7 E defined by Pact) = f(a)…

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Q: A contract is let for $10000. It is to be completed in 4 weeks’ time, subject to a penalty of $240…

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Q: (a) Given that y, (0) = 0, y₂ (0) = a +1, solve the system of differential equations: dy, dt = y₁ +…

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Q: AW salve the following DE.... ****** 3 (4.D." 4.D³ 3.D², 4.D. ml).y=0

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Q: Suppose the derivative of a function f is Then f(x) is decreasing on the following interval: ○ (1,4)…

A: A function fx is said to be decreasing on an interval a, b if fx≤fy whenever x≤y and fx is said to…

Q: Solve for x, where x is a real number. 5₁√√3 = √x O 225 O 75 O 15 45

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Q: dy Write down a differential equation of the form =ay + b whose dt 11 10 solutions all approach y =…

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Q: The graph of a linear inequality (the region Q) is shown in figure below. Find this inequality if…

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Q: Use either Stokes' theorem or the divergence theorem to evaluate each of the following integrals in…

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Q: 19. 1 ntan-1 τη 20. Σ (-1)" n tan-1 in

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Q: 1. The perimeter p f a square varies directly as its side. A square of side 1.0 cm has a perimeter…

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Q: Solve for x, where x is a real number. 9 4x = 8 27

A: The answer is x=1/6 (No option is correct)

Q: For a given 3 x 3 matrix A, [A-31]~ 0 1 0 00 2 [A+71] ~ 10 www 0 1 00 8 0 a) Based on this, we know…

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Q: Let : R→ R' be a ring homomrphism of R onto R' with kernel K. If A' is a subring of R', let A = {a €…

A: Kindly refer to Step 2 for the solution.

Q: Find a parametric representation for the surface a) The part of the cylinder y² + z² = 16 that lies…

A: Given That : Cylinder of equation y2+z2=16 that lies betweenplane x=0 and x=5. To Find : Parametric…

Q: Let Prove A, B,C that D be sets. and O (ANB) U(CND) = (AUC) n(BUC) n(AUD)n(BUD)

A: Let, A,B,C and D  be sets.  We have to prove that,  A∩B∪C∩D=A∪C∩B∪C∩A∪D∩B∪D

Q: Determine if y(t) = e-3 and/or y₂(t) = 9 e' are solutions of the differential equation Find ad y" +…

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Q: QUESTION 15 If two rotation quaternions are p = [0.866, 0.162, 0.382, 0.279] and q = [0.924, 0.207,…

A: Given: Two rotation quaternions,  p=0.866, 0.162, 0.382, 0.279  and  q=0.924, 0.207, 0.110, 0.303.…

Q: Consider the function f(x) = 2x + 5x-¹. For this function there are four important intervals: (-∞,…

A: The given function is fx=2x+5x-1. We have to find the critical points, increasing and decreasing…

Q: Determine the form of a particular solution for the differential equation. Do not solve. 7t y" - 4y…

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Q: A spherical raindrop evaporates at a rate proportional to its surface area. Write a differential…

A: Here, answer is correct, but you have used Letter K in capital english alphabet. Please use small k…

Q: (b) Find the general solution for 11-1 x'(t)= -1 3 x(t).

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Q: Select all the convergent series ੦੪ ਹc 71 4 +) ()-

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Q: Consider the function f(x) = x²¹4x f(x) has two inflection points at x = C and x = D with C <D where…

A: Given: The given function is fx=x2e14x.

Q: A certain drug is being administered intravenously to a hospital patient. of the drug enters the…

A: Below is the solution for part b.

Q: a) Prove that Q R is neither open nor closed. b) Determine aQ.

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

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Q: Find the Inverse Laplace Transform of the following: 1. F(s) 2. F(S) = 3. F(s) = 4. F(s) = 5. F(s) =…

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Q: Questions- Group II (Find the family of solutions of the separable equation): (x − 5)y³ – x²(y² — 4)…

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Q: Convet each of the following IVPs to an Volterra integral equation! - ه = (0) = (yo , 2- گلا لا ۱ 2…

A: Since you have posted multiple questions , we will provide the solution only to the first question…

Q: 2ý tứ 100 con........ www.st

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Q: The graph above shows how the 560 Billion kWh of electricity was generated in Germany in the year…

A: Kindly refer to Step 2 for the solution.

Q: 12. Is this statement valid? If gas prices go up, more people will commute. The number of commuters…

A: If the gas prices go up, more people will commute.  The number of commuters went up, therefore gas…

Q: Find the radius of convergence and interval of convergence of the power series 1+2x / √5⋅5+4x2…

A: Given: ∑an=1+2x5·5+4x29·52+8x313·53+. . . . . . To find: (a) Radius of convergence. (b) Interval of…

Q: 2. Solve the given differential equation by the method of undetermined coefficients. y" + 2y'-24y =…

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Q: If a(2).a(2) = 81, aŢ(2)T(2) = (1, 2, -2), then an (2) A) √18 B) 3√18 C) 3√8 D) 2√/8

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Q: Find the area of the given surfaces 3 a) The surface z = ²(x² + y²), 0 ≤ x ≤ 1,0 ≤ y ≤ 1 3 b) The…

A: The given surfaces, a) The surface z=23x32+y32, 0≤x≤1, 0≤y≤1. b) The part of the surface z=xy that…

Q: Determine if y(t)=t+t¹ is a solution of the differential equation ty - y = 3tº. la) Find y'(t). y'…

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Q: D Convert each of the folloing volterra integral equation to an equivalent IUP:- UCK) = 1+ 2² -…

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Q: et A, B, C and D be sets. Prove that (AnB)u(CnD)=(AUC) n(BUC) n(AUD)n(BUD)

A: The set A∪B contains all the elements that are present either in set A or in set B. The set A∩B…

Q: Given the three vectors A=xz³a + 3xyz²a-4x²y² a x B=-2yz²a-x²y²za +5xy a C=yz²a -xz²a +xyz a y…

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Q: 17) A mass weighing 32-lbs stretches a spring 6.4 ft. Suppose that the mass is displaced an…

A: 17) It is given that a mass weighting 32-lbs stretches a spring 6.4 ft. Now the mass is displaces an…

Q: 5 15 d 14 7 10 8 12 8 30 20

A: Solution:

Q: Solve the differential equation by variation of parameters. 2y" - 4y' + 4y = ex sec x y(x) =…

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Q: 1. What is Z transform? 2. Why Z transformation is needed in discrete systems?

A: For any given sequence xn, its z- transformation is defined as  Xz=∑n=-∞∞xnz-n…

Q: Consider the partial differential equation xxxx +2uxxyy + yyyy = 0. Determine the order of this…

A: As per the policy, only the first question will be solved, please post multiple questions…

Q: Two very large tanks A and B are each partially filled with 100 gallons of brine. Initially, 105…

A: Given: Two tanks are partially filled with 100 gallons of brine. 105 pounds and 45 pounds of salt…