Solve 52x + 67y + 46z = 175 67x + 73y + 54z = 194 46x + 54y + 65z = 165

Q: Find the compound amount and the amount of interest earned by the following deposit. $9,000 at 7.16%...

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Q: D. 13 mm 15 mm 74 59 12 mm

A: Introduction: The formula for the law of sine is given by, sinAa=sinBb=sinCc Where A,B,C are angle o...

Q: ylx + e (^-x)&y=c A 3x %3D e) (ay-3x) dx +xdy

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Q: the exact value of the integral. (Give your answers correct to 4 decimal places.) 2∫53ln(x)dx; n=

A: Introduction: The formula for the trapezoidal rule is given by, ∫ydx=h2y0+yn+2(y1+y2+...+yn-1) The f...

Q: 2. Sketch the region Renclosed by the triangle with vertices (1, 0), (2,1) and (1,1) and find the vo...

A: 2) given points 1,0 , 2,1 , 1,1 find the volume of the solid generated by revolving R about the y-ax...

Q: considered a data 1,3,5,7,9,11,13,15,17,19,21,......81. how many iteration are required in linear se...

A: We will make a very simple C++ code to answer this question.

Q: (3, 6) (1, 4) 2 (0, 1) (0,0) 4 8 6, 2.

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Q: 2s - 1 43. s2 - 6s + 18

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Q: Find the Green's function G(t,t') for each of the following problems. A. * + 9x + 20x = k(t), x(0) =...

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Q: Sedans SUVS Assemble 15 labor-hours 20 labor-hours Paint 2 labor-hours 1 labor-hours Profit $90 $115...

A: Given that Each day, 500 labor-hours available to assemble and 4- labor-hours to paint. Let the man...

Q: а. Show that the set S of all symmetries of an equilateral triangle form a group under composition o...

A: We will use the basic knowledge of group theory to answer this question. Note that although you have...

Q: 37. (s + 7)2 21 39. (s + V24 TT 41. .2 s + 107s + 2472

A: First shifting theorem is also known as s-shifting

Q: Determine the power series expansion (in sigma notation) of the function f (r) = sin a at a = 0 Note...

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Q: We consider the differential equations /(t) = cos(t) /(t) = cos(y(t)) (1) (2) 1. We first consider O...

A: The differential equations given are as follows: y't=costy't=cosyt (4) We are asked to determine gra...

Q: 2. Determine the second derivative of f(x)= xe* at x = -2 with a step-size of h=0.50 using %3D Centr...

A: We can solve using centra difference formula

Q: Find the Fourier Series of the function f(x) f (x) = (1 - t/2 -2 <t < 0 (1+t/2 0 <t<2

A: The given problem is to find the Fourier series expansion of the given periodic function with given ...

Q: A woman deposits $14,000 at the end of each year for 11 years in an account paying 5% interest compo...

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Q: 1 [2x²y¢&x +xydv) ces (0, 0), (2, 2) ar

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Q: 2. Find the eigenvalues and eigenfunctions by writing the ODE in the form power series: У" + Aу 3D 0...

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Q: Question 3. Let {G 1 а 0 1 c: a,b, c e Q 0 0 1 H = %3D under matrix multiplication. Notice that H is...

A: We will use the basic knowledge of group theory to answer both parts of this question.

Q: Let G be a group with |G|=187 then every proper subgroup of G is: * O Non abelian O Non cyclic O Cyc...

A: G is a group and G=187.Let H be a proper subgroup of G.

Q: Prove that Juti CXI soL 2m+V-V d. Cり Atwr m20 2 m! [em+v +1) m!Pem+v +1) Aturo m26 2

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Q: 5e- 2e- |-7e-/ X = Find dX/dt of Matrix:

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Q: 9) Evaluate [[ dA ,R: the region bounded by y =x & y=x 10) Evaluate fx(1+y*) ³dA ,R: the region in t...

A: We will use basic knowledge of integral calculus and evaluation of integral to answer both the quest...

Q: Use the sequential runoff method to determine the winner if a majority cannot be determined. Votes 3...

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Q: Suppose that x = 0 is a regular singular point of the differential equation 4xy" + 2y' + y = 0 Then,...

A: Given: x=0 is a regular singular point of differential equation 4xy''+2y'+y=0. To find: Indicial roo...

Q: Solve the integral equation: y (t) = 1 – S (t – T) y (T) dr O y (t) = cos t O y (t) - cos t O y (t) ...

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Q: f (x) = 2x-2 in powers of (x – 1)

A: The power rule of derivative states that ddx(xn)=nxn-1, where n is any real number. Differentiate th...

Q: If V V30 everywhere then the resuiting flow is c O rotational O dynamic Osteady Pirrotational

A: The general form of a vector-valued function in three dimensions is given by F→=F1i^+F2j^+F3k^, wher...

Q: -, first prove that )" 6.

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Q: 5. Use appropriate Lagrange interpolating polynomials of degrees one, two, and three to approximate ...

A: Note : according to our guidelines we can answer only first question

Q: dx = t(1 + t^2) sec^2 x dt.

A: Solution :-

Q: 115

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Q: Question 3. Let u = (1, 1, 1) E R³ and denote U = span(u). Let W = {(x1, X2, 13) E R³ : ¤1+ x2 + x3 ...

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Q: Find the radius of curvature of the curve r = at 0 = 1+cos 0 O 5.9665 O 5.6965 O 5.6569 5.5966

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Q: Rewrite each equation in fac- tored form and solve using the zero product property. A. x^2 + 18x + 8...

A: Zero product property states that if a.b=0, then either a or b is zero.

Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) =

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Q: Consider an alphabet that has 21 consonants and 5 vowels.  In how many ways can you make any arrange...

A: This is from combinatorial.

Q: Convert each equation from polar to rectangular form. 9) r= 4csc 0 10) r= 2sin (0 +") 11) r² = 5sec ...

A: We have to use relation between cartesian and polar co ordinate system  x = r cosθ  , y= r sinθ Squa...

Q: dy - f *P, = 7 dt y(0) = 4.

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Q: cosh(z3)

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Q: 438. Given two complex numbers: following arithmetic operations with the complex numbers: u*v=C+jD; ...

A: Given  u=18+j8 and v = 13+j 8

Q: (3) Suppose you flip a fair coin four times, or until you get a H, whichever happens first. Let X de...

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Q: 2 - Find the interval which the power series is convergent. n=1

A: We have to find the interval of convergence of the power series ∑n=1∞ xnn. We will use one of the se...

Q: Learning Activity 3 Solve the following by inspection (using graph), and justify the method of solut...

A: Solution

Q: Solve the following  complex numbers in their rectangular form. Use  4 decimal places  for the compu...

A: We have given that, z1 = 4 - 2i  , z2 = 3 + i  , z3 = 1 + 2i We need to find , cosh1 + 2i We know th...

Q: if xo = 2, x1 = 3 and x2 = 4 the second degree %3| polynomial for f(x) = using Lagrange Interpolatio...

A: Given function is f(x)=12and the nodes are x0=2, x1=3 and x2=4. We have to find second degree Lagran...

Q: 1 Thirty-two men can reap a field in 18 days. If the field is to be reaped in 12 days, how many men ...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Determine the nth term of Taylor Series expansion with center at x=m. Show complete solutions. Final...

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

Q: 2xy dx + (y^2 + x^2) dy = 0.

A: Solution :-