Give the unit vector in spherical coordinates that extends from M(5,1,2) to N(2,4,6).

Q: dy' By 34?-5 homogenaus equa tion: -3u %3D

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Q: 3) Let R be a commutative ring. An elementre R is called nilpotent if rm = 0 for some m e N. Show th...

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Q: (a) Draw the lattice of subgroups of Z/6Z. (b) Repeat the above for the group S3.

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Q: Use the Squeeze Theorem to evaluate the limit lim f(x), if 2x 1< f(r) < 2 on [-1, 3].

A: Squeeeze Theorem: Suppose that g(x)≤f(x)≤h(x) for all x close to a but not equal to a. If limx→agx=L...

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Q: X"+5x'+4x=2t^2+4 with IC x(0)=3 and x'(0)=1 Find x(0.25) to at least 3 decimal places of accuracy.

A: consider non homogeneous linear differential equation a2(x)y''+a1(x)y'+a0(x)y=r(x). The associated h...

Q: 5. Prove that arg(z1zz) = argzi – argzz %3D

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Q: 1 Evaluate sin°(7#6 + 2ei®) do. 2ei d0. 2n Jo

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Q: Consider the problem of approximating the value of V3 as a root of f(x) = x2 - 3. %3D (a) Calculate ...

A: The equation in form f(x)=0 is called a transcendental equation. In this problem the transcendental ...

Q: LAPLACE TAMNSFORM

A: The given function is F(s)=1s-3-16s2+9 rewrite as  F(s)=1s-3-16s2+32 use the formula  L-11s-a=eatL-1...

Q: 2. Let T : P2 –→ P2 be defined by T(a + bx + cx²) = a – 26 + (2b – 4c)x + 3 cx?. Find a basis C for ...

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Q: Compute 17^7121 (mod 11).

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Q: What is the dividend if the divisor is x- 3, the quotient is -2x* + 4x* – 6x + 3, and the remainder ...

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Q: Find the future value of the following ordinary annuity. Payments are made and interest is compounde...

A: Given, R=$1000, 7% interest compounded quarterly for 8 years

Q: 2. Let T: P2- P2 be defined by T(a+ bx + c?) = a - 2b+ (2b – 4c)x+3ca². Find a basis C for P2 such t...

A: Given T:P2→P2 defined as                                                      T(a+bx+cx2)=a-2b+(2b-4...

Q: Use improved Euler method to find yo.75) if E= xy +1 take h=0.25

A: Introduction: The formula for improved Euler method is given by, ym+1=ym+h2f(xm,ym)+f(xm+h,ym+hf(xm,...

Q: (a) Show that {v1, v2, V3} are linearly independent, where 1 V1 = 1 and v2 = and v3 = -2 Hence {v1, ...

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Q: Topic: Graphing on Intervals (-8, 8)  Instructions: 1.) Using any graphical app, construct three d...

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Q: Suppose that an employee earns $12000 in the first year on the job. Each year the employee receives ...

A: Introduction: The recurrence relation is a very important relationship in discrete mathematics. It d...

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Q: Find the inverse transform of the following.

A: Given,       F(S)=25S3S2+4S+5

Q: Solve the following D.E dy 3 x sin x +2y = tan dx 2

A: The given differential equation issinxdydx+2y=tan3x2⇒sinxdy=tan3x2-2ydx             .........(1)Let ...

Q: Consider the following table of values of f(x) = e". 0.0 0.2 0.6 f(x) 1.0 1.22140 1.82212 (a) Approx...

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Q: Find the interval of convergence for the power series. 2n +1 2r (1 · 3 · 5 . ... · (2n – 1))(x + 3) ...

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Q: 1. Let U24 = {z E C|224 = 1}. Define §24 = cos () + i sin (). %3D (a) List all subgroups of U24 and ...

A: The given question is related with group theory. Given that ,          U24 = z∈ℂ | z24 = 1 and ξ24 =...

Q: 2+

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Q: [f.dr, where W and f = (x² + y 1V

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Q: 4. (a) Consider the linear transformation T: R + R? that sends (E) - B- - (E) -F)- T Write down the ...

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Q: es on the GRE (Graduate Record Examination) are normally distributed with a mean of 590 and a standa...

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Q: ear transformation from R4 to R5 and let T(e1) = -3 3 19 -5 |-5 and T(e4) : 2 %3| 21 10 -2 -7 3 8 =f...

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Q: solive dk d t.bounded.bg..Xy=16..

A: 1st we will draw region bounded by given curve in  1st quadrant . and then will find limit for varia...

Q: Let A- {1,2,3,43, B = {1,3,6,10}. het R C AxB such that (asb) eRo b-a e A. () Find the adjacency mat...

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Q: 3 and A? – kA – 5I 1

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Q: 2.1.11 A matrix A E Mn(C) is called nilpotent if there exists a positive integer k such that Ak = 0....

A: basically we have to show that (a) A is nilpotent iff all the eigenvalues of A are Zero             ...

Q: The number of linearly independent eigen vectors of a matrix [2 1 0] A =0 2 1 is 0 0 2

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Q: One well-known bread store is franchising in Metro, they sell their bread depending on the taste of ...

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Q: Please send me handwriting solution only. Solve 52x + 67y + 46z = 175 67x + 73y + 54z = 194 46x +...

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Q: Find (ideally with as little work as possible) the projection matrix P describing the projection fro...

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Q: curves in Exercises 1-8 about the x-axis. erated by revolving the regions bounded by the lines and U...

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Q: gn to encourage m I has a chance to

A: a) p(100 coins)=0.1×0.2×0.1×0.1p(100 coins)=0.0002p(80 coins)=0.2×0.2×0.3×0.3p(80 coins)=0.0036p(20 ...

Q: A17.2 Use the solution of the first problem to compute the value of the infinite series 1 1+ 24 1 1 ...

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Q: (II) [1 pt.] Repeated root. Solve this IVP: y" – 4y' + 4y = 0, y (0) = 3, y' (0) = 0

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Q: 3, Verify that p = 0 is a multiple root for e -1-r = 0, the use a second order %3D %3D convergent me...

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Q: A17.3 Compute the Fourier series of f(t) = sin°(t).

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Q: Find the general solution to the homogeneous differential equation d?y dy + 13 + 36y = 0 dt2 dt The ...

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Q: on of the differentia

A: Introduction: When in a homogeneous second order differential equation, roots are complex and distin...