Find the shortest distance between parallel planes 2x - 3y + z = 4 and 4x - 6y + 2z = 5

Q: This is a matrix [0.1 0.2 0.6] M = 0.8 0.3 0.2 0.1 0.5 0.2 (a) Explain why M is stochastic (ie…

A: As per the question we are given a 3×3 square matrix M , and we have to find: Whether M is…

Q: Find the isolated singularities for the holomorphic functions f, g, h. Determine the types and…

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Q: 2. Find the Fourier series expansion of: (0, f(x) = -1 <x < 0 sin Tx, 0< x <1 and then use it to…

A: Fourier series of the discontinuous  function

Q: Let V be the space spanned by f 1= sin x and f 2= cos x. (a) Show that gj = 2sin x+ cos x and g2…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: On their anniversary, Luna received a box containing x violet flowers. The number of these flowers…

A: I have just used the definition of x=a (mod b).

Q: Solve (ay? – y° /2 +æ – /2) dæ + (2 – y/T) dy =0

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Q: 4. If f(x) = -2*43 find X-1

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Q: QUA) Replace the polar equation by equivalent Cartesian equation r = 2cose- sine

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Q: Let Gbe an open set in R". Two points x, y e G are said to be equivalent if they can be joined by a…

A: Since every open subset of Rn can be written of countable union of disjoint open balls and each ball…

Q: 3. Classify the following PDE, reduce it to the canonical form and then find its solution: 1 Uzz -…

A: Hyperbolic pde

Q: QUESTION 1 Of the following operations, which one is the fastest? a. < O b. / c. + d. X

A: To identify fastest operation.

Q: A planet P in the xy-plane orbits a star S counterclockwise in a circle with radius 10 units,…

A: Given, A planet P in the xy-plane orbits the star S  in a circle of radius 10 units, completing one…

Q: f (t) =1*b +acosh 21 + bsinh 21 a+b

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Q: Which of the forms would be most helpful in answering questions d-f

A: The various forms of a quadratic equation can be listed as follows. Standard form: f(x)=ax2+bx+c,…

Q: e'dy + (5t + ye')dt = 0.

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Q: Question 5 If T is a linear transformation such that T(1,0, 0) = 1, T(0, 1, 0) =2, and T(0, 0, 1) =…

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Q: Find for f'(x) | f(x) = x – cos(x) f(x) = e* – 2x - 2

A: To find f'(x).

Q: Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its trace on y…

A: Given quadratic surface is 100x2+36y2+225z2=900. a  We have to write the name the given quadric…

Q: functions" then site one 3. Explain the statement "All functions are relations but not all relations…

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Q: Let I, be the line described by the Cartesian equations • x= 1 • y-9 = 2(z-7) Let l, be the line…

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Q: 4 0.5t f (t)=-3t*e05t +3.8t²e²

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Q: Suppose that An are fields satisfying An C An+1. Show that Un An is a field. (But see also the next…

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Q: %3D What is the principle part for f (z) = zez at its essential Singular

A: We have to find the principal part at the essential singularity of the given function ;      f(z) =…

Q: List the solution: xi = x2 = %3D O x3 = T3 is not needed O x4 = %3D C4 is not needed

A: claim- find the maximum value of f and the set of variables that gives this maximum value.

Q: 5) (2xy -3y) dx + (x-x) dy = o

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Q: series solution of differential equation NO 7

A: Here we can use the generating function for Legendre’s polynomial to prove the relation…

Q: Consider the following two matrices 161 6 00 B =0 0 A =0 1 0 -2 0 1 0 1 0 0 0 0 Select one: a. none…

A: The matrix A has 3 rows and 5 columns. So A is 3×5 matrix.  Therefore, option b. is not true. Row…

Q: dy Plot the slope field for the differential equation dr

A: Given,                        dydx=y2-x  Initial condition:                    y12=1

Q: Showthat PanCO) 2The Loigendne polynomialy ncn) satisty herpilou ngondhögonal.paoperty.. a) f' Pnen)…

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Q: a. Give the smallest extension of Q that contains all the zeros of x4 - 2x2 – 15.

A: We shall answer first question only as you have asked diff question without mentioning. For others…

Q: B. Find the adjacency matrix of the following graphs. 1. 2.

A: 1 Consider the given graph We have to write the adjacency matrix. The adjacency matrix for the given…

Q: please include also the interval of convergence in the solution. thank you.

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Q: Can you shoe me how to prove this by the definition(without using the supremum property or whatever…

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Q: Find the definite integral o tan(x)dx using strips of width for the trapezium rule correct to three…

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Q: Let a € Zz be a zero of the irreducible polynomial p(x) = x3 + x² + 2 in Z3[x]. a. What is |Z3(a)|?…

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Q: y" – y' – 2y = sin 3t y(0) = 1 and y'(0) = -1

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Q: Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to r + y…

A: Solution :-

Q: Homework 1. Determine all the accumulation and boundary points of the following sets in (R,1. ): (b)…

A: As per the policy, we are solving only 3 parts of this question. Please repost the question and…

Q: I the Fourier transform of f(t)= 3sin5t +4cosl %3D

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Q: Evaluate the integral (2.x - y)dA, where D is the region in the first quadrant enclosed by the lines…

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Q: Let y = f(x) be a solution of the first order linear differential equati У'3у-10х2

A: The Euler method states that  yn+1=yn+hfxn,yn where  xn+1=xn+h here h = 0.1 x1=x0+h=0+0.1x1=0.1 now…

Q: fined the genral solution 8) (D + D,)u = 0

A: Solution of the higher order homogeneous partial differential equation.

Q: (a) Employ Crout's decomposition to solve the system. 5x1 - x2 = 9 -X1 +5x2-X3 = 4 -X2 + 5x3 =-6 %3D

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Q: Let a and b be positive integers such that ax + by = 7 for some integers x and y. Then %3D

A: We have to choose  current answer of given statement.

Q: Find the approximate root in 5th iterations of the function f (x) = x³ + 4x2 – 10, xo = 1 10, хо — 1…

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Q: How many ways are there to assign 100 different diplomats to five different conti- nents if 10…

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Q: 3. Sketch the graphs of the following curves. (a) r = 2+ sin 0. (b) r= | cos 30| (c) r = sin 0.

A: We have to sketch the graphs of the given curves.

Q: (EP)* = P*E*

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Q: the answer is not correct

A: To Evaluate: ∬Rsinx2+y2dAWhere R: 16≤x2+y2≤81

Q: y" – y' – 2y = sin 3t y(0) = 1 and y'(0) =-1

A: