Fourier series? f(x)=x² 2 xe logt)

Q: entiate the following y = sec¹ (√x- 1 + 3)

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Q: ]x" (t) + x (t) = 6 sin 2t "here X(0) = 3 x' (0) = 1

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Q: 1 (t) ли И ,к≠ 0 eleccione una: . а. а = 1/2; ак b. ak ак 2кп . c. a = 0; ак . d. aj=0; ak 2кп ,к≠ 0…

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Q: Question 2: Determine the nature and stability of the equilibrium points of the system dz = z-y+z²,…

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Q: Find the length of the line segment below. Round to the nearest hundredth if necessary.

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Q: B) Find all of the second derivatives for f(x, y) = (3xy2 + 2xy + x²) In; x²+y² itable graph and…

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Q: - Find the solution of the equation 3U, -5U, = 0 satisfying the condition U(0, y) = sin y

A: We have to find the solution to the given equation.

Q: 23. A population grows according to the logistic growth model, with growth parameter r = 0.8.…

A: as given  r=0.8 p0=0.3 we already have p1=0.168 , p2=0.1118 (c) determine what percent of habitat;s…

Q: let f: R^ -> R be a function given by 2 f(x₁, x₂... x₁) x.x²2. x²n, where = € 2.1 Show that the…

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Q: 5. Show that if x,y∈Z and 3|x^2+y^2 then          3|x or 3|y 6. Show that if c=sa+tb where c=(a,b),…

A: Please check that x=1,y=3, then x^2+y^2=10 does not divide by 3. So  must 3|x and 3|y instead of 3|x…

Q: Solve using method of variation of parameters: y" + 2y' - 8y = 2e-2x - ex, y(0) = 1, y'(0) = 0.

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Q: Let f(x) be a function given by f(x)= { (a) Prove whether f(x) is a Dirichlet function. = for Tx<0,…

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Q: Use the trapezoidal rule with five intervals to evaluate the integral 2 Type your final answer below…

A: The given function is fx=1x2-6x+10 To find: ∫23fxdx by trapezoidal rule.

Q: Find the maximum and minimum values of z = 5x + 6y, subject to the following constraints. (S 6x + 8y…

A: maximize and minimize z=5x+6y subject to 6x+8y≤30015x+22y≤330x≤40, y≤21x≥0, y≥0

Q: Terri Vogel, an amateur motorcycle racer, averages 129.18 seconds per 2.5 mile lap (in a 7 lap race)…

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Q: Find the quotient of B/A. Use pivotal method in solving for ALL (3x3, 2x2, ...) determinants. 3 1 3…

A: given, A=3137077468328491, B=45675678678978910 B/A=BA-1A-1=1Aadj(A)let adj(A)= C for get the…

Q: 2) t (y-1) dt +y(t+1)dly=0 31 хчуу! -2y =. 41 yan- x lnn dy ==

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Q: The figure shows the graph of y=ax+b If f(x) = ax+b and g(x)=log3X, find the value of g(f(0)) . 3 B.…

A: Follow the steps.

Q: Question 8* Problem III Let f(x, y, z)= -2xy - x² + 3yz + x² + y² + 2². Question 1 The set of…

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Q: 1. Suppose you invest P5,000 at 10% simple interest. How much money will you have after 5 years? O…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Which of the following is NOT a circuit in the graph? B E F D CC OABFEA OBFDCB O None of the Above

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Q: Consider the statement for your answers in numbers 11 and 12. Given: A,, C,and D are collinear in…

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Q: 1. Which is a polynomial function? P(x) = 2x³ + 3x² - 4x + 4 A. B. H (x) = 4x¹/2 + 3x -4 c.…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Use the Divergence Theorem to evaluate ff F-n do where S F(x, y, z)=(x² +cos yz, y-e², z² + x²) and…

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Q: 3. Verify using the Alternating series test that the series Σ(-1)", is n=1 convergent

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Q: Analyze the given system for b > 0, (fixed points, stability, bifurcation point, limit cycle, etc.).…

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Q: (2) y" (t) - cy'(t) + gy(t) = 6t²²t where: you) = Y(u) =

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Q: Find the sum of the series: n=0 (-1)"64"-2 n!

A: The given series is                                     ∑n=0∞-1n64n-2n! We know that    ex=∑n=0∞xnn!

Q: Q1: The following two random variables x and y are linearly correlated: 1) specify their correlation…

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

Q: Let 2= R, and suppose S₁ consists of intervals including Ø, the empty Ω set: S₁ = {(a,b]: -∞ <a ≤ b…

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Q: 2. Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = x²…

A: Given curve is y=x2, x=1 and x=2. We have of find the volume of the solid obtained by rotating about…

Q: or n>3

A: Given: Mathematical statement 2Fn&gt;Fn+1 for n&gt;3. We have to check whether a given statement is…

Q: 2. The value of ¹₁ a) a O b O C O d [Tn (x)]² √1-x² dx = ..., for each Chebyshev polynomial Tn (x),…

A: Here is the answer in the image below.

Q: Suppose A, B, and C are all n x n matrices, then a. A 0 = = -|A| x |C| в с B C A 0 с В 4 n B C Rx C…

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Q: Let x and y be functions of t. Find the general solution of the system of equations below by first…

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Q: Find the area bounded by the given curves. 1) y = x³, y = 8, x = 0

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: Consider the function f(x) = 4xe~ Identify the locations where f has transition points. (Give your…

A: f(x)=4xe-x2 According to the guideline I am answering first three parts only

Q: Vertex (−2, −2), asymptotes l1: 4x − 3y + 14 = 0 and l2: 4x + 3y + 26 = 0

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Q: Prove the following by using induction: 1(1!) + 2(2!) + 3(3!) +...... + n(n!) = (n + 1)! − 1, for n…

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Q: Evaluate the following limits: 1. lim x-5+ (-5-) (²²-4x-5)

A: We have to evaluate the following limit limx→5+(5x-5)(x2-4x-5x)

Q: asurement of as much as 0.1cm m error in the calculated volur

A: The volume of the cone is expressed as, V=πr2h3.

Q: Solve the initial value problem. √y dx + (x-9)dy = 0, y(10) = 49 The solution is - 2√/y = In (x-9)-…

A: The given initial value problem is                                      ydx+(x-9)dy=0, y(10)=49 We…

Q: 8. Evaluate D = 3 2 4 4 0 7 9 -2 -1 -8 -3 3 5 6 9 5 9. Check your answer in item 8 using any method.…

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Q: Home Furnishings has contracted to make at least 220 sofas per week, which are to be shipped to two…

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Q: Show that for the Legendre polynomials Pn the following holds for all n E N (n+1) Pn+1(x) − (2n…

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Q: ) Check the differentiability of the function f(x, y) = √√xy | at the point (0,0). Also check the…

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Q: (b) Prove that the improper integral Ï Ï -8 -∞ converges. dx dy (1 + x² + y2)3/2

A: Consider the given improper integral, I=∫-∞∞∫-∞∞dxdy1+x2+y232 Change into circular coordinates by…

Q: Maximize  z = 8x + 9y,  subject to the following constraints. −3x  +  y ≤ 3 2x  −  4y ≤ 8 x  ≥  0,…

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Q: 6. In the figure, AB // CD. The straight line EF cuts AB and CD at G and H respectively. Find x.…

A: Given: In the figure below AB|| CD. The straight line EF cuts AB and CD at G and H respectively. To…

Q: Your company are designing metal trays. They will be made out of a sheet of metal which has a…

A: Perimeter = 80 cm square of side = 2cm Thus Length = x - 2y = (x - 4) cm height = y = 2 cm Let width…