Fnd the Largest product the positive numbers can hare if x+y+z² = 16 , X,y and z

Q: prove that there exists a prime number p such that n <p< 2n for n = 10,11,12,13,14, 15, 16, 20.

A: for n=10 then take p=19, 10&lt;=p&lt;=20  for n=11 then take p=19, 11&lt;=p&lt;=22 for n=12 then…

Q: This equation is about the exponential growth and decay functions. In which “the number y of…

A: The function is y=a(1230.25)^t/16 We need to convert it into the form y=a(1+r)^n where r = Growth…

Q: Section 1: Statistics and Probability Here are the shopping times (in minutes) of the a sample of 15…

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Q: Expand f (z) = in powers of (z – 12). Also clearly mention the domain in which this (z–15) expansion…

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Q: true or false. if true, explain. if false, provide a counterexample  If series an is convergent,…

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Q: y A x= y² – 2 y = 1 x= e

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Q: Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The…

A: Make a mathematical assertion out of the claim. Identify which of the null and alternative…

Q: f(t) = e-5"cosh(6t) – (9t)"/2 %3D

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Q: 1. Let fn(x) uniformly on [0, a]. Show that the convergence is not uniform on [0, oo]. for n e N.…

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Q: (iii) At x = 0, the Fourier Sine Series of 2x – 2, 0 (A) –2 (В) —1 (C) 0 (D) 1

A: The given problem is to find the Fourier sine series of given periodic function and also to find  at…

Q: - 11n³ Match each of the following with the correct statement. A. The series is absolutely…

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Q: 9. Solve the differential equation (2 sin?y + 4x² sin y)dx + (3x sin y cos y + 2x³ cos y) dy = 0…

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Q: 2. Solve the equation (for z): (2z – 1)° = i . [Hint: First solve the equation w = i.]

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Q: 4.x – 6 2. Let f(x) = 1- (2х - 3)3" (a) Find the Taylor series representation for f about r 1.5 that…

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Q: Write the volume of the region bounded by z = 8- 22-y? and z = a? + y? as a TRIPLE integral in the…

A: We have to write the volume of the region bounded by z=8−x2−y2 and z=x2+y2 as a triple integral in…

Q: (12|+ 3, if xs-3 Let f(x) ={ -2r, if -3 <x < 3 6r +2, if x2 3. Show that f(x) is continuous at x =…

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Q: For the demand function q = D(p) = /276 – p, find the following. a) The elasticity b) The elasticity…

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Q: 8. (Liouville's theorem, Cauchy estimates and the maximum modulus principle) (a) Suppose that f is…

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Q: The 13-member board of directors of an association vote to select a city to host their annual…

A: by borda count method

Q: Ohm's law of electricity states that V-IR, where V is voltage, I is the current, and R is the…

A: Introduction: According to Ohm's law, the current flowing through a conductor between two places is…

Q: 2. (Cauchy-Riemann's equations, analyticity and harmonic functions) (a) Define the symbols Of/0E and…

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Q: (2, 4, 6, 9, 12, 18, 27, 36, 48, 60, 72), R) be a partially ordered set, where the relation R is…

A: We have to find the smaller element.

Q: One face of the semicircular fin shown in the figure will be painted blue, with a circular hole…

A: b) 1.131 will be the right answer.

Q: Use Newton's method to approximate the value of 3√56 as follows: Let x1=3x1=3 be the initial…

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Q: -1| 03 f(x) | 15 8 | -1

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Q: please show work and say whether it is a join, separate, part part whole, or compare problem

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Q: Determine the number of triangles ABC possible with the given parts. a=24, b=20, A=46° Option 1: 0…

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Q: Use the Integral Test to determine whether the infinite series is convergent. n² Σ n=11 (n³ +8)?…

A: Integral test, the series is converges

Q: 1. Prove: For n > 1, n − 1 is a generator of Zn.

A: As per our guidelines we are supposed to answer only one question. For the solution of the first…

Q: Question 1 Let R be the triangle bounded by the lines x = 0, y = 0, and y +x = 2. Let C be the…

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Q: 4. Show that the sequence (n) does not converge uniformly on [0, 2] by showing that the limit…

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Q: Let D=(dj.dn) and B=(b1.bn) for vector space U for x belong U and x = B[x]g=D[x]D. Pis transition…

A: Here we noticed some important facts about the coordinates of a vector with respect to a basis and…

Q: (a) Find the volume of the region E bounded by the paraboloids z = x² + y2 and z = 24 - 5x2 – 5y?.…

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Q: Exercise 3, Use Newton's method to approximate v3 with the following functions and values. а. f(x) =…

A: Given: (a.) The function, fx=3x and the values, x0=-2, x1=-1, x2=0, x3=1 and x4=2. (b.) The…

Q: 2x1 X2 2 - 2 X1 - -x1 + x2 - 3x3 3x, + X3 -9- Solve the above system of equations using Jacobi…

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Q: 28. Prove that if A and B are any nonzero vectors and C- BIA + JAB, then the angle between A and C…

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Q: Solve the following initial value problem with Laplace Transform  y''-6y'+15y=2sin(2t) with…

A: We use Laplace Transform to solve given differential equation.

Q: Consider the following differential equation, with time domain tE (0,1): y" = 2ty + t?y', %3D y(0) =…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Use 5 decimal place mantissa. 1. Use fixed point iteration to solve the roots of f(x) = 2x-sin3x…

A: Given,  f(x) = 2x-sin3x,  use  x0=3 We have to find roots of equation using fixed point iteration…

Q: Match the vector field F with the correct plot. F(x, y) = (v, y + 2)

A: Given vector field F(x, y)=y, y+2 to draw the vector field lets construct a vector field table for…

Q: Approximate the following functions using Taylor series. Solve the absolute and relative error in…

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Q: by Newton-Raphsan method ( E= 0.000l) 2

A: Find the values of (29)^(1/2), using Newton Raphson method

Q: f(x) = x² + 2* – 100 Solve this question by the Fixed-point method on the topic of solution of…

A: Let f(x)=x+2x-100Here x2+2x-100=0 ∴x2=-2x+100∴x=-2x+100∴ϕ(x)=-2x+100Here x 5 6 7 f(x) -43 0 77…

Q: 6. Bonus. Fourth Order Runge-Kutta (RK4 Use the fourth order Runge-Kutta method to numerically solve…

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Q: If A ̸= 0 and AB=AC, where A, B, C are square matrices, then B=C.

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Q: ニX +2ー100

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Q: Determine the dimension of each of the following subspaces. (a) Span (b) Span

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Q: 5. (More about Möbius transformations - construction) Find a Möbius transformation which maps the…

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Q: use LiS.H to Rit astraight Line hor the daha shown below:- Xil!/217 yi l43|35|42573810.1125/13 15.6…

A: Here, we will use the least square method to fit a straight line for the given data: xi yi 1…

Q: Use the Lagrange error bound to explain why cos(x) is equal to its Taylor series for all x

A: For the solution of the problem follow the next step.