Q1: Find the Fourier coefficients and Fourier series of the triangle function f(x) defined by +x, if -n≤x≤0 2 f(x)= and defined on the interval 1/1/2 +x, if 0

Q: 3. A population of cicadas is modeled by a function defined by f(w) = 250 ● e(0.5w) where w is the…

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Q: 3R-h Q1/ The volume of liquid in spherical tank can be computed as V = nh²[³], If R = 6 m, what…

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Q: A fuzzy set B is closed if and only if B contains all the accumulation point of B. accumulation…

A: Option-A is correct.

Q: Jobco is planning to produce at least 2000 widgets on three machines. The minimum lot size on any…

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Q: (1) We have three matrices given as follows: 3 2 -B ) B= 22] - [23] 2 Another two 2 x 2 matrices X…

A: Given- We have three matrices given as follows: B = 322-1,     C = 22-1-2,        D = 32-11 Another…

Q: using determination of integrating factors y (y^3-x) dx + x(y^3+x) dy=0 Attpemt only you can solve…

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Q: Differential Equation. - Solve the difference equation. day nig +5y(t) = 5x(4) dt with X(t) = 3 é2t…

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Q: (Think Bernoulli) Solve implicitly dy dx - y = e²xy³

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Q: Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees…

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Q: Without solving for the undetermined coefficients, find the correct form of the particular solution…

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Q: price she would break-even. She can sign up a total of 50 lesson slots per week. F

A: Introduction: The break-even point is computed by dividing total fixed costs by the price per…

Q: 14. The four women Anne, Betsie, Charlotte and Dolores and the six men Eric, Frank, George, Harry,…

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Q: Q4/ Using the Taylor series method to solve: = y cos(x), Where y(0) = 1. dx

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Q: (3) For what value of a the vectors: a = 51 +6j-k and b=2i+(3+a)j- ak A. B = AB cos 90º =…

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Q: Determine whether each statement is always, sometimes, or never true. Explain. 6. Three points are…

A: Consider three points on three different parallel planes. So, three points are contained in more…

Q: Q2/ The following system of equations is designed to determine concentrations (the c's in g/m³) in a…

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Q: What is the estimated revenue of Amazon in 2083? billion US dollars. Round to the nearest billion US…

A: Let us solve the given statistical problem using curve fitting in the next steps.

Q: 5. Let S = {V₁, V2,..., Un}, n ≥ 2 be a set of nonzero vectors of V. Each of the following…

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Q: where s, t E R. The plane contain the points P(1,-1,-4) and Q(2,1,-3). Moreover, contains the line I…

A: As you have mentioned I am answering number 4

Q: Under what condition for the real numbers a,b the vectors (b,-1)(2,a) are linearly related

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Q: The Maclaurin polynomial of order three of the function f(x) = sinh (x sinh xuố 6 is:

A: Option(E) is correct

Q: Let S be the set of all 2 × 2 real matrices given by   Find 2 × 2 matrices X, Y, Z such that S =…

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Q: (b) Sketch the following function. Write down its equation in unit step function and find its…

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Q: 3. There are 9 dots randomly placed on a circle. How many triangles can be formed within the circle?

A: The number of ways r items can be selected from n different items is equal to C(n,r). The formula…

Q: using con |' 1 P+ (1)

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Q: 18. Consider the matrices 2 1 27 Xx₁ A = 2 2 -2 and X = X₂ 3 1 1 X3 a. Show that the equation Ax = x…

A: Q18 asked and answered.

Q: 7. So -y dx + x dy x² + y² G₁₁: x² + y² = 1 C₁ traversed in a clockwise direction. (b) Green's…

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Q: Q2/ The following system of equations is designed to determine concentrations (the c's in g/m³) in a…

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Q: using hessian matrix define maxima or minima Z F f(x, y) = x ³ +y ²-3x 3

A: Given function is z=f(x,y)=x3+y2-3x Now critical points ∂f∂x=3x2-3 ∂f∂y=2y For critical point…

Q: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. 1 Find the unit vector…

A: Given, X = -i + 3j  and Y = 4i -2j + 2k

Q: a, b, c E R. 1 be R³ (a) The set of all vectors (b) the vectors of the shape (c) the vectors Which…

A: We know that the set ℝ3 is a vector space and the set is defined as ℝ3=x, y, zT  x, y, z∈ℝ i.e., it…

Q: An accident at a nuclear power plant has left the surrounding area polluted with radioactive…

A: The given scenario can be modelled by the equations dAdt=k At and At=A0ekt. a) The initial amount of…

Q: (a) Find all solutions of the equation x³ + x² −2x=0 in Z₁. (b) Let R be a ring. Define what it…

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Q: Question 4 Compute the product or state that it is undefined. -5 (3] à do do 38 -245 -18 8 -19 -10 O…

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Q: • Given the laurent series of f(x) = f(x) = 2 f (2) = 2 n 4 +7 (6)" (2-8)" *Pes (£(₂), 2+1) is: for…

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Q: Q2/ The following system of equations is designed to determine concentrations (the c's in g/m³) in a…

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Q: ANTIDIFFERENTIATION. Evaluate the following

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

Q: An infinite cardinal number a is said to be dominant if it satisfies the following condition: if b…

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Q: For each pair of functions f and g below, find f(g(x)) and g(f(x)). Then, determine whether fand g…

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Q: Extend the linearly independent Set S={x+1, 2x²3 to the space base P₂ (R)

A: We are given linearly independent set S={x+1, 2x2} and we need to extend it to basis of P2(ℝ)

Q: (5) Suppose that fis continuous on [a, b]- f(x) ≥ 0 Vx = [a,b] and [f(x)dx = 0. Prove that f(x) = 0…

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Q: 03/ The following table gives the viscosity of oil as a function of temperature. Use Newton's…

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Q: Solve and analyze the following problems. Make sure all steps are properly justified. Correctly uses…

A: We are given that supply equation is p=1.6q+5.2               .......(1) The demand equation is…

Q: 22. Data may have a positive skewness mean long tail of curve to the left. O True O False

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

Q: 3. Supply a third column so that the matrix will be orthogonal: √5/5 2/3 2√5/5 -1/3 0 2/3

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Q: Suppose that 10 years ago you bought a home for $120,000, paying 10% as a down payment, and…

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Q: Solve the following equation, putting in explicit form (be sure to solve for C): 3 y' + 7y - 9e-3x…

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Q: on and multiplication defi

A: Given as, GL2C is set of invertible matrices.

Q: 05/ Giving the following data: x X 012 3 4 5 f(x) 1 0 1 3 8 16 Evaluate the integral flf(x)]²dx by…

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

Q: Please solve asap my deadline is very close

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