Are the following numbers Gaussian primes ? Explain why why not. or (а.) 2 — 5, (b.) z = 5- 4i. tr

Q: 1. Consider the curve C with parametric equations Sæ(t) = t3 – 3t +1 \u(t) = t(t + 1) defined for t…

A: Given curve C parametric equations are xt=t3-3t+1yt=tt+1

Q: Q4. (*) Let W be a Brownian motion without drift. Find the distribution for the following limits:…

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Q: (In3+j5)5 sech(5.5430°) tanhj Tei – j213 ji]*

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Q: X1 ^ x2 – 2x2 ^ x3 + x1 ^ x4 -

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Q: у- 4y/ + 4y — е?" (12л? — 6х); у(0) — 1, у/ (0) — 0 %3D

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Q: a. It is known that the tensile strength of a plastic increases as a function of the time it is heat…

A: We can solve this using formula of fit straight line, standard deviation, standard error ,…

Q: 2. Write the Kolmogorov backward equations for a birth-and-death process with birth rates d; = 3(i +…

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Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for f(x, y) = x e-a-y"…

A: Consider the given function fx,y=e−x2−y2cosxy. We have to determine the first and second degree…

Q: The following information is provided for a one compartment drug X following first-order elimination…

A: Sol

Q: The particular solution of the following equation by using the method of undetermined coefficients 2…

A: Given differential equation is 2y'' + y' + 6y = 51 cos 3x

Q: REPEAT. TYPEWRITTEN ONLY ANSWERS DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. DO THIS TYPEWRITTEN…

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Q: 2. Verify that detAB = det A(det B) for the given matrices %3D 1 -2. 3] [1 1 21 A =-2 3. 1 and B 3.…

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Q: An example of 4-dimensional hypercube Q 4

A: Given: Let's determine the example of the 4-dimensional hypercube.

Q: Generalized Mean-Value Theorem: Let f and g be two functions, each having a derivative (finite or…

A: This is a problem of Cauchy MVT.

Q: (6) Find the center of mass of the lamina in the shape of the region bounded by the graphs of y = x²…

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Q: Consider the ideal I C C[r, y, z] where I = (a?y? – a?z? – yz, y? + 22 – 1). Describe the set of all…

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Q: The rate of increase of the temperature of water being heated in a kettle at any timet is modelled…

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Q: Find the laplace transform of F(t)= 2t^4-3e^2t+10sin3t

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Q: Q.2: Determine the roots of the simultaneous nonlinear equations, initiate the computation with…

A: Given the simultaneous nonlinear equations (x-4)2+(y-6)2=5 and x2+y2=16. We have to determine the…

Q: The coefficient of x in the Maclaurin series of f(x) = sin(3x) is Previous Page Next Page Page 23 of…

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Q: Five students (one is named Fer) and their best friends (one of whom is named Stan) all live in an…

A: Let us solve the reasoning based problem in the next step.

Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1- y/3 – z/10) dx dy dz in the order dz dy dx.

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Q: Using Optimization in Derivatives, solve the following question: An open-top box is to be…

A: We will use Lagrange Multiplier method to  maximize / minimize a function f(x,,y,z) subject to…

Q: QUESTION 3 Let Vs0,1] be the Vitali's set. Mark all statements that are true. Ovs[0,1] is not…

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Q: Find the volume of the solid that results when the region enclosed by y = e", y = 0, a = 0, x = In…

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Q: Every Boolean algebra (B, tiplication by the formulas a +b- (a A b') V (a' A b), a b a Ab, be B

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Q: (b) (12xy2 + 6y + 3e*)dx + (6x²y + 2x)dy = 0

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Q: Each lateral face of a regular hexagonal pyramid has lateral edges of length 10 inches and a base…

A: Each face is an isosceles triangle with side of 10 and base 12.

Q: 2.57 † Let S = functions on [a,b]. Show that if n e N and if ao, a1,..., an are not all 0, then it…

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Q: (b) Define a scaled ridge estimator 3" = (1+ c)(X"x + \I)-'x™Y, where A>0 and e > 0 are tuning…

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Q: Five years ago, you entered into a 10-year investment of principal P (in pesos) with simple interest…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: in fuzzy graph theory What is the compliment And give examples

A: Given: We have given fuzzy graph. We need to tell that what is complement of fuzzy graph and their…

Q: Consider the polar curves Cı :r = 3 sin 20 and C2 : r = 3 cos 0, and let R be the shaded region as…

A: (a)

Q: 2.62 Show that fn(x) = x+n converges uniformly on [0,1] but not on (0, 0).

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Q: 2.66 Let fn(x) = z for all r E R. a) Find the pointwise limit of fn. b) Does f converge uniformly on…

A: Convergence and uniform convergence of the sequence

Q: 1. Evaluate the following integration )dx (a) Analytically (b) Using trapezoidal rule with n= 1,2,…

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Q: Consider a two-period, small open economy with endowments on tradable and nontradable goods. The…

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Q: There are 2 workers in one of companies, accrued wages for first worker was $360 according to Halsey…

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Q: Stock in Company A sells for ​$94 a share and has a​ 3-year average annual return of ​$24 a share.…

A: Given,Derek wants to minimze the risk while investing in two stocks in companies A and B.To find:…

Q: 2.53 Let B[a, b] denote the set of all bounded functions on [a, b). Is Bla, b] a vector space? Prove…

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Q: (9) Evaluate the surface integral / S, czdS, where o is the part of the plane r+2y+3z = 6 that lies…

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Q: Let z = f(x, y) = 10x²y – 5x² – 4y? – x* – 2y*. | (a) Draw the graph of the function. (b) Draw the…

A: Sol

Q: Let L(y) = x²y" – x(x+2)y' + (x+2)y %3D (a) consider the homogenous differential equation L(y) = 0…

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Q: [1 2 -1] 1. If A = 3 2 4, verify that detA = detA". L1 3

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Q: dy What is the value of dæ for the parametric curve defined by x = It=0 e3t, Y = e18t, %3D Previous…

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Q: hu.2 Evatuate the foltawing cartesian integrats by changing them inte equivalent Pelarintegrals:…

A: Using Solution Subject Double integral by polar form

Q: Which of the following vectors is a linear combination v1 v2 and v3?

A: this is a problem of linear transformation.

Q: Let k: [-1,1] – R be the function k(x) = sin(x). Show that one has |k(x) – k(y)| < 2|x – y|, for all…

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Q: Let R be the region bounded by the functions f(x) = –2x² and g(x) = -8 as shown in the diagram…

A: Given curve f(x)=-2x2  and g(x) = -8For intersection point    f(x) = g(x)so     -2x2 =-8        x2=4…

Q: 1 -3 8. Let vi V2 and v3 = be given vectors in R4. Which of the following vectors is a linear…

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