convert spherical point to cylindrical (6, pi, pi/3)

Q: Multiply -1 2 -3-2 -8 -9 -7 9 00 00 00 00

A: Matrix multiplication

Q: 4) If V is the imaginary part of an analytic function f then an analytic function with real part vis…

A: Imaginary part of an analytic function is the harmonic conjugate of the real part of this fu5.

Q: solve: [x X2 X3 Б 1 0 002-20 X1 0-1/2 0 140x₂ 0 00 01 0-1] LxS) ха 0 -12 + +2] 3et+ - 1/4 0 0 with…

A: As per the instruction, we will be answering the part (b). For (b), We are given the following…

Q: 2. Sketch the function and write in terms of unit step function. Hence find the Laplace…

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Q: Is (fe5x dx) = e5x ? dx True O False Reset Selection

A: ddx∫e5xdx=e5x

Q: 0 -2-4 8 15 1. A = 1 4 1 6

A: We need to find the determinant of the given matrix using raw operations and cofactor method…

Q: Let A be a nxn square matrix having rank 2 then rank of (A^t A) is (A^t= Transpose of A)

A: Let A be a n×n square matrix and Rank (A) = 2

Q: Determine whether each pair of solids is similar, congruent, or neither. If the solids are similar,…

A: The solids represent cones. These are similar if the ratio of their dimensions are equal.  So, we…

Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

A: Critical points are those points where f'(x)=0 or f is not differentiable. Critical point must be in…

Q: Problem 25. Find the Laurent expansion of f(z) = 1/[2(2-1)(z-2)] in i) 0 < 2 <1 ii) 1<|z| <2 2 < |z|…

A: This question from laurent series of complex analysis.

Q: A company determines that its total cost, in thousands of 3x rands, for producing x items is C =…

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Q: For all sets A, B, and C. Is (A ∩ B) ∪ C = A ∩ (B ∪ C)? Justify your statement. You may justify…

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Q: Separation of variables The lateral radiation of heat from a bar of length L insulted at both ends…

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Q: 1-x Consider the point P(1,-1, -3), the vector u = (2, 1, 0) and the line : 2+3 =y+1= 3 2 Find the…

A: Introduction: A plane is a three dimensional Euclidean figure. At least three points are needed to…

Q: find the polynomial f(x) for which x.f(x-1)=(x-3).f(x) prove that f(x)=x^2n + a^2n is not divisible…

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

Q: (a) Let V be an inner product space with inner product (,), and let ~1,...Xn,J EV. Use proof by…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Q2) Compute trigonometric Fourier series coefficients of following 2-periodic signal defined on the…

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Q: c) y (3) - 54 (²) +254² - 1254 x(esx 125)+25

A: The solution for the asked part is given as

Q: - 1)(z - 2)] im |z| < 1 |2|< 2 시지

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Q: x² T +3y² = z + 3. Consider the surface T with equation 3 1. Find the equation for the trace of T on…

A: Solution

Q: Consider the vector-valued function R(t) = a. Find the domain of R. b. Determine if R is continuous…

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Q: T b) Evaluate sin530 de (Take n=7).

A: We need to evaluate numerical integral ,  ∫0π2 sin53θdθ   Here , n = 7 We will use  Trapezoidal rule…

Q: Solve for the determinants of the items using a combination of row operations and cofactor method.…

A: We need to determine , determinant of given matrix ,  B = 3-69-27-2015 Here , det(B) = 3-69-27-2015…

Q: Find an analytic function whose real part is u(x, y) = x³y - y³x 7²+1

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

Q: ach of these algebra

A: Given that the London bus tour company function                            T(x)=-x2+50x-225 where…

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan…

A: We need to find the approximate values of ∫π4π2ln(tan(x))dx using trapezoidal and Simpson rule given…

Q: Find the value of x. X+ 5-

A: Incentre is a point that lies in a triangle. The bisector os all the angles of a triangle meets at…

Q: Set-up the integral which yields the ar

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Q: 9. A family with 6 children, 3 boys and 3 girls, is the probability that the number of boys is less…

A: To get the solution, use the following binomial distribution formula. PX=r=nrprqn-r Where n is the…

Q: By changing to cylindrical coordinate, evaluate So So -1 c√1-x² 16 x² + y² x² dzdydx

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Q: a 1 - x²) cos(nx) dx F(x 一九 4 sin(nл) — 4nл соs(nл) — 2n²л² sin(n) πη3

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Q: If M‡ Ø is any subset of a Hilbert space H, show that M is the smallest closed subspace of H which…

A: Solution:Hilbert space H, M⊥⊥ smallest closed subspaceWe first show that for any M⊂H, M⊥is closed.…

Q: Consider the following IVP: y'= 1+ 1st≤2, y(1)=2. t' The actual solution of this IVP is y(t) = t…

A: Solution : y'=1+yt 1≤t≤2 y(1)=2 To find y(1.2). Apply Euler method for n=5 Step size(h)=1.2-15=0.04…

Q: Question 4 4.1. Find a power series representation for the function 8 using summation 2x-15 sign,…

A: Power series expansion rational function:  interval of converges :

Q: 1- Define degree of freedom

A: We have to define the degree of freedom

Q: Use Euler's method with h = 0.25 to solve the following initial-value problem over the interval from…

A: As per the question we are given a first order differential equation as : dy/dx = yx2 - 1.1y With…

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral SIn(tan x)…

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Q: 3+z Given the points R (1, -1, -3), the vector v = and the line d: ¯x+¹=1+y= 3 2 3. Calculate the…

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Q: Mark pulls Allison and Mattie in a wagon by exerting a force of 20 pounds on the handle at an angle…

A: Given- Mark pulls Allison and Mattie in a wagon by exerting a force of 20 pounds on the handle at an…

Q: 1. Perform the required integrations to get the result in the notes e2t dr et dr že [00 (tt) Bu(t)dt…

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Q: f(x) = x3 - 2x2 - 15x + 36 = (3 - x)(12 - x - x2) Find the (a)  intervals on which f  is…

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Q: 4. Which of the following subsets of R³ constitute a subspace of R³? [Here, x = (₁, §2, §3).] (a)…

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Q: g. L-12_3 s2-8s+251 -1 h. L-¹ [25²-35+4]

A:

Q: (k) The solution of the following problem for the heat equation with nonhomge- neous boundary…

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Q: Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. What type of quadric is S? Find an…

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Q: Let S be the quadric with equation 4x² − (y − 3)² + 4z² = 4. What type of quadric is S? Find an…

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Q: (h) Let u(x, t) be given by u(x, t) = a, cos(3nt) cos(2nx). [ an n=1 If u(x, 0) = cos(4x), 0≤x≤/2.…

A: This is a problem of Fourier analysis.

Q: a. Find -R(t), . give the parametric equations of the tangent line to the graph of -R(t) at t=0: 1…

A: Given that R't=4e2t,11+t2,2cosht R0=1,−2,3 To find: R(t) Parametric equation of the tangent line…

Q: or problems 1 - 10 refer to these sets:  U = {a, b, c, d, e, f}     A = {a, c, e, f} B = {c, d, e}…

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Q: III. Consider the directed graph described by the following: (a) Draw the graph. (b) Find a…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…