find polar form of the complex number Z= = (2√3-4i) + (-√3+5i).

Q: Let F(t) = (4t³ - 1)j + (5t+2)k. Find F'(t). 7"(t) O 288t 288t³j 05+288t³ O 36t³ +5 O None of these

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Q: taxi has 2 passengers when it starts at A. It must drop off one person at B and the third at C. The…

A: GIVEN THAT A taxi has 2 passengers when it starts at A. It must drop off one person at B and the…

Q: An invalid argument is given below. -> X (P(x) → Q(x)) 3x (-P(x) A-Q(x)) XP(x) The domain of x is…

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Q: Consider the statement: For any positive integer n, n^3+2n is a multiple of 33. Set up the framework…

A: We will follow step for mathematical inductions Note : Maximum 3 sub part are allowed to be solved…

Q: 1. y= 1-lnx x²

A: According to our guidelines we can do at most one question at a time . Please post remaining…

Q: a) Find an equation of the line through P(1,-2,4) with direction vector v=[2,4,-4] b) Find the…

A: Here we are solving part c.

Q: 11-15, let R be the region bounded by the lines y = -2x-4, y = 6, and x a solid generated by…

A: Introduction: The washer method refers to this application of the slicing procedure. Because the…

Q: B: Solve the problem of heat transfer through the fin by Finite Differences Method: d²T = -10 x², T…

A: As per the question we are given the boundary value problem for the heat transfer as : d2T/dx2 =…

Q: ider the following differential equation. ydx - 3(x + y) dy = 0 dx the coefficient function P(y)…

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Q: Obtain a numerical solution of -1 = using Euler's method with step size equal to (0.02) y and…

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Q: A consumer's behavior is described by the equation Y₁ = Ct + St where Yt, Ct and St stand…

A: Let us solve the given problem in the next steps.

Q: Q1: Determine whether f(x)= [0,1]. √xsin().if x=0 0.if x=0 is of bounded variation on

A: Given :   f(x) = xsin1x,if x≠00if x=0 To find : Whether f(x) is of bounded variation on [0, 1].

Q: Question 1 2) Let f(x) = {1; Find the Fourier series of f(x) -45X<0 0≤x<n

A: Solution

Q: B: Solve the following differential equation by Laplace: + + 2x + 5y = e-¹ sint dx² dx ,y(0) = 0,…

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Q: Calculate the distance from your house to the college in km. Determine the type of number whether…

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Q: Find Z-transform and ROC f A. x(n) = {1,2,-1,2,-1}

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Q: 2.3: Determine the spectra of the signals: (a) x(n) = cos/₂ (b) x(n) = Cos kn/3 (C) x(n) has period…

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Q: Max (Z) = 3 X + 5Y Constraints: 2X +3Y≤ 30 5X +4Y≤60 By Condition X, Y20

A: Given LPP is max z=3x+5ysubject to2x+3y≤305x+4y≤60x,y≥0   So, graph of  function

Q: Q4/ Find a root by using Bisection method, lying between 0 and 0.5 with error 4% ,the equation 4e…

A: Algorithm Bisection method Steps  Step-1: Find points a and b such that a&lt;b and…

Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use…

A: Solution

Q: A consumer's behavior is described by the equation Y₁ = Ct + St where Yt, Ct and St stand…

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Q: 11. Explain what Average Rate of Change and Instantaneous Rate of Change are. Use graphical diagrams…

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Q: Fill in the blank. The symbol C₁ represents a constant. (4 + C₁e-6x) = Write this result as a linear…

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Q: A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Pure water is then…

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Q: (b) Given ra 1-2 sin 0 equation of the conic Find the distances from the pole to the vertices and…

A: The given polar curve is  r=41-2sinθ. To Find: Distance from the poles to the vertices. To Find:…

Q: :A)Evaluate the volume enclosed by the function z = x + y² and the region bounded by x = y² and x =…

A: Given that: z=x+y2 and region bounded by x=y2 and x=y3. The objective is to determine the volume.…

Q: Timothy wants to estimate the percentage of homeowners that own at least one dog. He surveys 100…

A: To find out which of the given is a parameter :- A parameter is a numerical value that states…

Q: Find the Fourier series of f(x) uestion 1 1) If f(x)= x,-2<x<2

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Q: Advanced Math PLEASE PROVIDE STEP-BY-STEP EXPLANATION AND ANSWER! You have baked a rectangular pan…

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Q: Q2/A: Use Lagrange Interpolation Polynomials' to determine the relationship between the velocity of…

A: According to the guidelines we are supposed to do one problem

Q: 25/ A: Use Linear Regression to fit the following experimental data

A: Given, X 0 3 2 3 1 6 5 Y 5 1 2 10 9 8 10

Q: Min 10+ x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0. x,y

A: Given Problem: Minx,y 10+x2+y2 subject to 2x2+y2≥2, x≥0 and y≥0 To find:  Are KTCs sufficient for…

Q: 10. A bank password consists of four letters of the Roman characters (small and capital letters)…

A: Password are  almost always case sensitive, for a given letter there are 26×2=52 possibilities…

Q: A: Find Fourier Series of the Function: -K f(x) = {- K -HAX<0 0<x<*

A: By Bartleby policy I have to solve only first one as these are all unrelated &amp; lengthy…

Q: If the two vectors are in the following figure, find the angle (1) between them A=i+j-k B=2i-2j+2k

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Q: 2. If one of the eigenvalues of [A]nxn is zero, it implies (a) The solution to system of equations…

A: We have to find the correct option.

Q: Find Z-transform and ROC f x(n) = {1,2,−1,2,−1}

A: Given that: xn=1,2,-1,2,-1 The objective is to determine Z-transform and ROC. Let consider,…

Q: Let x(n) = 8(n) + 8(n − 1) + 0.38(n − 2) + 0.48(n + 1) - 1. Write x(n) as a sequence then sketch it.…

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Q: 7. ) How many points must you place in a square with the dimension of 3cm by 3cm to guarantee that…

A: Given: A square of dimension 3cm ×3cm To find: Number point to be places in a square of size 3cm…

Q: The plane x + y + 2z = 2 intersects the paraboloid z = x² + y² in an ellipse. What is the point on…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: A group of college students are going to a lake house for the weekend and plan on renting small cars…

A: Let the number of small car be x the number of large cars be y A total of 5 cars is rented,…

Q: B/ Find the Laplace transform of f(t) defined as: f(t) = (t-1, when 1 < t < 2 (3-t, when 2 < t <3

A: The given problem is to find the Laplace transform of the given function with intervals. We have to…

Q: Find the differentiation and provide a complete solution a. f(x)=∛(x2-1)2

A: AS PER THE COMPANY GUIDELINES WE CAN SOLVE ONE QUESTION AT A TIME SO I AM SOLVING FIRST QUESTION…

Q: If ūv #0, then (select all that apply) O and are not perpendicular the angle between u and v is…

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Q: There are _____ number of vertices in a graph 6 edges if each vertex is of degree 3.

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Q: 7. Evaluate the z transform of x(n) = a^(-n) u(n)

A: The Z-transformation is a discrete time transformation from real plane to complex plane. In the…

Q: Let A = ({0} ∪ {x | x ∈ ℤ+and x < 4}), B = {0, 1, 3, 5, 7}, and C = ({0} ∪{x | x ∈ ℤ+and x is even…

A: Since you have posted a multi subparts question according to guildlines I will solve first(a,b,c)…

Q: (HW) Ex. 5 Solve the systems of ODE and the initial value problem (1) V₁ + y₂ = -2cost v₁-v₂ = 2sint…

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Q: 55 separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: A is a non-empty set. Show that the power set of A is in one to one correspondence with the set of…

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