1. Use de Moivre's theorem to find all solution to 25 +32i = 0. Give the solutions in polar form using the principal argument.

Q: Q4. A point is moving along a curve that is given as: R(1) = {cos 31 )i + (sin 31) j + (31)k. Find:…

A: Given position vector is R→t = cos3t i +sin3t j +3t k Function fx, y, z =x y z

Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution 2x + 1…

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Q: x1 + 5x₂ + 3x3 = 30 3x1 + 7x2 + 13x3 = = 80 12x1 + 3x25x3 2 (0) (0) with ¹ [x(0), xQ), xº)] = [1, 2,…

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Q: 3 By direct partial integration, Solve the following PDES 8- J 8²u axdy 2 = cosx cosy, x4(X₂ #) =X U…

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Q: To find how much heat is required to bring a kettle of water to its boiling point, you are asked to…

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Q: 5s² + 25-4 (5+1) (S+2) (S+ 3) Taking inverse Laplace transform

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Q: Solve the boundry - Valued PDE 24 = 4 34 84 by ulory)=8e³y using the genral method ans: u(x,y) = 8 e…

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Q: If 4 peaches cost $1.10 what will 6 peaches cost

A: Given, 4 peaches cost = $ 1.10 1 peache cost = $ 1.10/4                            = $ 0.275 Now, 6…

Q: Obtain frequency response of the following system. Compute inverse Fourier transform of the…

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Q: 3 By direct partial integration, Solve the following PDES & 82u axdy = cos x cosy, u(x,#) = x…

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Q: Find the differential dz of the function f(x, y) = 4y²+x²y-2xy and use it to approximate Az at point…

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Q: b). Using an appropriate triple integral, evaluate the volume of: i). ii). z = V1 – x² - y² r = sin…

A: As per Company guidelines i am solving first question please resubmit the question for another one.…

Q: Find the general Solution of the following PDES -Х • з Их + 2 Иу =0 ucx, c) = че 2 ans3- исх, у)…

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Q: [ f(u)du=t-fe²f(u)du By solving the equation A) f(t) = 1² B) f(t) = 1/2 e2t C) f(t)= t 1+e2t D) f(t)…

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Q: Ronnie goes to the racetrack with his buddies on a weekly basis. One week he tripled his money, but…

A: We will start with a variable and then follow sequence of event to get value of the variable

Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

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Q: 4. Solve the following 2nd_order OPES (5 steps) day = ( x ) = + (1 - 1) dy dx² dx h=0.02 Y(0) = 4 ال

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Q: js(x) dx = (b-a) [ƒ(a) + f(b) -a) [¹ 2

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Q: show that V(x, y) = x 'f (2x+y) is the general Solution of X dv 2x dv ду = V ax

A: A partial differential equation is an equation containing more than one independent variable, one…

Q: Prove the following result using the definition of subspace: Let (V,+,.) be a vector space over…

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Q: Does the following series converge or diverge? Σ 4√n 10n3/2 +7n+7 n=1 The series diverges. The…

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Q: Consider the following Gauss-Jordan reduction: 0 10 07 0 0 FEC 56 70 →> 810 = 1 00 100 0 01 001 0 1…

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Q: 20. Marta purchased a sweater for $15.67, a pair of socks for $2.13, and a bracelet for $6.78. For…

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Q: 1. Use de Moivre's theorem to find all solution to 25 +32 i = 0. Give the solutions in polar form…

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: 7. Determine the roots of y4 + y"" −y" -y+1=0 a. 1,-1,1 b. 1-1,-1 c. 1,-1,2 d. 1,-1, -2

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Q: Q1. Find the point of intersection of the lines L, and Ly whose equations are given as: L₁: (x = 1,…

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Q: Theorems Let Exy and fy} betw. Sequence in nor Хм тул шэх+у 2X₂ Wh

A: We will use definition of convergence of sequence

Q: Q3/If f(x)=x²+1 and g(x)=√x, find the composite function and its domain: (a) fog (b) gof

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Q: Use Cartesian coordinates to evaluate [[[ 3² a dV D where D is the tetrahedron in the first octant…

A: Plane  3x+2y+z=6in first octantz : 0→6-2y-3xy=0→6-3x2x=0→2 Draw the graph

Q: 03 (1) , 0،65 = (لار = 9 + ۱ - ( - ) .b 1

A: Given the 2nd order differential equation:  x2-xy''-xy'+y=0 with conditions  y12=0.65, y'12=0.3…

Q: 5√2 x Evaluate the integral ² cos ²0+2²) r do dr dz. 000 The value is (Type an exact answer, using x…

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Q: 5 Determinants Calculate the determinant of the matrices 0 1 0 0 0 a 0 0 1220 2403 0020 0003 M = , N…

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Q: Can you help me with this by showing all the steps. Thank you A gasoline station can sell 10,000…

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Q: Evaluate  f '(3). Also, find the two-point forward difference, two-point backward diffrence and…

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Q: □ classify the following PDES :- 227 822 82 -2 +2 =x+3y дх2 буду дуг • x Uxx - 2xy Иxy +y uyy = e…

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Q: 4 xy" + 2(x−1)y′ − 6y = x² + ¾x · -X 4e

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Q: QUESTION 4 Calculate the area between y = 7 - x² and x-axis from x = -1 to x=2 as shown in Figure 1.…

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Q: 5. The variables x and y are related by the following differential equation. dy x+y = dr x-y By…

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Q: TOA (c) Lett be a cofinite topology topology on a set of real numbers and A=(3,6,8) show that…

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Q: find the Fourier series of half rang periodic function. f(x) = x|x| -π<x<π

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Q: du dt = 2 824 dx2 Ans u(x₂+) = -200 8 ● @ o u (o₂t) =(4,t) = 0 u (x,0) = 25 X 22 -n²tl8 sin n -200…

A: To solve a PDE by variable separation method, assume u(x,t) = X(x) T(t) to get pair of ODEs and use…

Q: Find and classify the critical poruts g a te functions f(x,y) = exsing f(x, y) = excosy

A: 1 Given function is fx,y=exsiny. We have to find the critical point of fx,y. Differentiate…

Q: 4.S) spring with a spring constant k of 20 pounds per foot is loaded with a 10-pound weight and…

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Q: Solve the following differential equations by linear method. y' - 3x²y=0

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Q: show that ф (x, y, z) = 8²4 PDE: аф дуг дуг + + даф x². 2 +у2 + Z2 =0 872 satisfies the

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Q: By Separation of variables, Solve the follow PDES :- ²4 d²4 dt² =43 2 dx² •o u(e,t) = u(s, t) =6…

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Q: Solve the following differential equations by linear method. dy dx + 2xy = 0

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Q: m For fixed a, consider the quantity cos(x + h) Q(x, h) = a) What is the limit (x) of Q(x, h) as…

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Q: determine the general solution of y''-y=0 given y1(x)=e-2x using reduction of orders

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