dx 4√/3x-x² 5³-

Q: The general solution of y" + y = 2x sin x

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Q: the first four terms to ximate the sum of the series:

A: Given,                ∑n=1∞1n2+1

Q: 4x³-18x²-36x Solve for the vertical asymptote/s of f(x) = 4x3-34x²-60x

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Q: 3s-8 482 +25

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Q: y""+y" = 3x² + sin x − 2 cos x -

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Q: S- X dy + y dx X COSX dx

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

Q: 1. Find the remainder when P(x) = 5x³ + x + 5 is divided by x + 3. 2. Find the remainder when P(x) =…

A: .

Q: The following data consists of a matrix of transition probabilities (P) of three competing…

A: Given that, P=0.10.60.30.70.10.20.20.20.6 and initial share state π1=0.3,0.6,0.1, i.e., Px1=0.3,…

Q: Consider the convex set given by 2 x1 + 3x₂ ≤ 22 5x1 + 2x₂ ≥ 12 21 ≥ 0,2₂ ≥ 0 (a) Introduce a slack…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Assume that the nth term in the sequence of partial sums for the series no an is given below.…

A: Sequence of partial sum for the series         ∑n=∞an  is   Sn=5+8n22-7n2 (.)   Behaviour of a…

Q: Find the distance of the plane passing through the points ā, b, c from the origin.

A: First we derive the vector equation of plane.    The perpendicular distance is the projection on the…

Q: 1. Determine the half-range cosine expansion of the given periodic function: f(t) = {₁ t, TT- -t,…

A: Half range cosine series expansion

Q: Show that Let ECR" is measurable set. If µ(E) >0, then E have a non-measurable subset

A: Here, we introduce the notation Gr :=G∩[0, r) + 1-r ∪ G∩[r,1) - r for G⊂[0,1) and r∈R. Note that…

Q: cos 2t cos 5t S³ +29 (s²+49) (s² +9) Option 3 None of the Choices S³ + 29 (8² +49) (s²-9) Option 4 S…

A: The solution is given as

Q: 4. Six different groups of children would like to visit the zoo and feed different animals. (Assume…

A: Given: Six different groups of children would like to visit the zoo and feed different animals.…

Q: fø(z)= y + ja represents the complex potential for an electric field and x x = 2² + + (x+y)(x−y),…

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Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 a. is an ellipse;…

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Q: f(t) (² 1) = (1; 0 2 -28 -28 e S Option 4 -28 S Option 3 -28 S Option 1 1 + 1 e 1 S 82 -28 + + 82…

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Q: Use the Euler method to solve the following equation analytically for .five iterations. Given that…

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Q: f(x)= 0, COSX, Find the tarier series above functions -12hxeo 02 X LTT/2 expansion of the

A: Given ,            f(x) =    0           ; -π2<x<0cosx       ;       0 ≤ x<π2 (.)  Fourier…

Q: Find the maximum error incurred by using the first three terms to approximate the sum of the series:…

A: Please see the attachment

Q: 7. Find K when, P(x) = 3x³ - 7x² + kx - 2 D(x) = x + 2 R=-64

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: Find the number of positive integers X smaller than 12849 which have exactly 2022 positive divisors

A: Theory : Total no of divisor of a number, If its prime factorization, given by ∏i=1hpiai Where p is…

Q: 2. CONTRADICTION: F= P(R^Q) R-Q PR

A: (2) We have to prove the following using the proof technique

Q: which one one of the following statements. As incorrect 55 @B = [²16 SAT -5 ]-XBT)T=B --26 Sint -9 b…

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Q: Suppose that the function f is continuous everywhere. Suppose that F is any antiderivative of f, and…

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Q: By using Laplace transform to solve y" + 4y + 8y = sint with y (0) = 1 and y' (0) = 0, what would be…

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Q: Please don't post this question on google 10 Given the polar equation r = 5-2 sin 8 a. find the…

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Q: unit vectors inclined to each P = a cost cos 2t+b sint cos 2t + c sin two non-collinear dicular to…

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Q: Find the area of the triangle formed by the lines repr

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Q: 4. Expand f(t)=sint, 0<t<n in a half-range: 5 a) Sine series sin(1-n) sin(1+n) ANSWER: (0)=sin(1-…

A: The given problem is to find the half range Fourier series expansion of sine series and cosine…

Q: In this module you have worked with many different trigonometric identities. These identities can be…

A: We will use half angle formula to find length and height

Q: grocery store sells a bag of 4 oranges for $1.72. If Christopher spent $1.29 on oranges, how many…

A: Solution :-

Q: 6. Given f(x)=x²+3x+2 and g(x)=x²-x-6. Evaluate f(x)/g(x).

A: Division of two functions

Q: (a) Consider a rectangular hyperbola H and a circle C intersecting H at four points P, Q, R and S.…

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Q: Define the fibonacci numbers by f(0) = 0; f(1) = 1; and then recursively for natural numbers n ≥ 2…

A: Solution : a) 1 , 1 , 2 , 3 , 5 , 8 , 13 b) lets check above Fibonacci series their is even coming…

Q: Oz 2. Suppose z is a function of x and y and tan(√x+y) = e²². Determine and ду Әх

A: Partial derivatives

Q: 4. Determine the Fourier transform of the given function: 1 (t) = {2t - t, 2t - 1, 0 < t < 1 0<t<2…

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Q: Find the value of∞ If the approximation of the integral f f(x) dx by trapezoidal method is given by,…

A: We have to use the trapezoidal formula to approximation of integral  ∫01f(x)dxThe approximate value…

Q: 14. If R is a ring, then show that R/(OR) = R

A: Introduction: The quotient ring or a factor ring is an important ring in the theory of ring. For a…

Q: Suppose the slope of the tangent line at any point on a curve is 242. If the curve passes thru…

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Q: Sketch the region bounded by the given lines and curves. Then express the region's area as an…

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Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, find the relative error…

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Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 an empty set.

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Q: Consider the following lines. r(t) = (3t+3,5t +4, 5t+5), for -∞0<t<∞0 R(s) = (s+2, 2s+2, -5s + 10),…

A: Introduction: Like two dimensional geometry, a line can also be represented in three dimensional…

Q: So is there more than one correct outcome to a matrix in row ecehlon form? If each row has leading…

A: To determine: If there is more than one correct outcome to a matrix in row echelon form. If each row…

Q: In the equation f(x) = 0.2 + 25x -200x2 + 675x3 – 900x4 + 400x5, the exact integral is 1.640533 from…

A: The given function is  fx=0.2+25x-200x2+675x3-900x4+400x5 over interval 0,0.8.

Q: Directions: Assuming that the angles are in standard position. Determine whether the given pairs of…

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

Q: Find the average value of the function f (x, y, z) = ye` over the rectangular prism 0 ≤ x ≤ 3,0 ≤ y…

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Q: This question is about the function f(0) = (0 - 3) cos(0). (a) Explain why the graph of f lies on or…

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