: Find Fourier Series of the Function: -K f(x) = { k -π

Q: The multiplicative inverse of x²+x-1 in Z5 [x]/ is: O x^3 O x+1 O x^4 O None

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Q: 2. Using an appropriate method, compute the following integrals. dx x² + 3x + 2 (i) sin³x cos*x dx…

A: (i)

Q: 6. Find the derivative of y= 2x² (3x-4). A. 6x³ - 8x² B. 18x² - 16x 7. Find the derivative: f(x) =…

A: 6. The derivative,  y=2x23x-4or y=6x3-8x2 ......1

Q: [2 2 sinx cosx + 3cosx7 2 cosh 3 X 1 D²+ 4 D3 D³ -27

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Q: 4. Find the Inverse Fourier transform of Te-l@l.

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Q: All of the infinite series below diverge. Which one may we conclude diverges by the "nth term test?”…

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Q: L-1 s-1 (s²+9) { +9)} Find laplace inverse

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Q: 3-) (58+2) 32-8 (+2) (8+1

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Q: A. Prove and make an illustration on theorems 4-6. 4. If a/b and b/a then a = +b 5. If a/b and a >…

A: A]   4) Let a|b and b|a then by defination of divisibility there exists integers say x,y such that…

Q: - L-1 s-1 (s²+9) +9)} Find laplace inverse.

A: To Find: Laplace Inverse ℒ-1s-1s2+9

Q: Suppose there are approximately 2.0 x 10 asteroids in the asteroid belt that have a diameter larger…

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Q: Given the following data. 1 1.5 2.2 2.5 3 Y 4.5 5.501 11.248 15.625 26 i. The relationship of x and…

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Q: -x2 + x1 = 1 2x₂ + x3 + x4 = 2 −x2 + x3 + x4 + 3x1 = 5

A: The given system of linear equations…

Q: Suppose there are approximately 2.0 x 10 asteroids in the asteroid belt that have a diameter larger…

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Q: AB5: Use a left Riemann sum with the three subintervals indicated by the table above to approximate…

A: Riemann sum is a method to approximate a definite integral. There are two different kinds of…

Q: Find a basis of the eigenspace associated with the eigenvalue -3 of the matrix 1 0 7 −1 0 -3 -6 -6 A…

A: Eigenvalues and eigenvectors are very significant in linear algebra. Eigenvalues is nothing but a…

Q: Determine Step 3 using 4-Step Rule in finding the derivative of  y=2sin(x)cos(x).

A: Introduction: The four-step method to find derivatives is actually determining the derivative of a…

Q: Q/ if f contineous map Prove that f(B) ≤ f(B), VBsy

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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: Use Taylor's formula at the origin to get a cubic approximation of the function: f(x,y) = ln(2x + y…

A: Given function f(x,y)=ln(2x+y+1) and a,b=0,0 Taylor's expansion  at origina,b=0,0 to get a cubic…

Q: Investor Dan has $119,000 to invest in bonds. Bond A yields an average of 9.4% and the bond B yields…

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Q: ii) You invest $10000 in a mutual fund which grows at a certain percent every year. After 8 years…

A: The uniform rate of changing is the part of mathematics where the number is changing continuously at…

Q: Q3/Solve the non-homogenous equation 3x³ + 1 = cos(2x-1)

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Q: x1 + x2 + x3 = 0 x4+x₂+2x3 = 0

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Q: A MacLaurin series solution to this ODE: (x-3)y'' + 5xy' - y = 0 has the form: y(x) = Σ akak k=0 The…

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Q: Advanced Math Consider the autonomous initial value problem X = x² + 4 a. After rearranging the ODE…

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Q: Consider two brine tanks connected as shown in the figure below. Tank 1 contains x(t) pounds of salt…

A: Since there is no image for flow in the tanks, i use only the given equation with initial values.

Q: In how many ways can a voter rank five candidates, without allowing ties? A. 5 B. 24 C. 120 D. 60

A: Introduction: A permutation is the arrangement of objects. When a certain number of objects are…

Q: For 2021, the annual earnings for Blue Star Racing Equipment were  $5,600,000 . The corporation has…

A: Given- For 2021, the annual earnings for Blue Star Racing Equipment were $5,600,000. The corporation…

Q: USING Laplace's transform, solve: +∞ Cos (7x) dx X²+25

A: Introduction: Laplace transformation has a wide range of applications in different fields of…

Q: The pedal of a bicycle is attached to a crank arm that revolves when the pedal is pushed by a…

A: We will use sin function to represent  vertical position of the foot with respect to the ground,…

Q: GRAPHS, FUNCTIONS, AND SYSTEMS = Writing an equation of a line given its slope and y-intercept Write…

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Q: Consider Quadrilateral EFGH with vertices E (-10, 8), F (8, 8), G (10, -6), and H (-6, -10). The…

A: Consider Quadrilateral EFGH with vertices E (-10, 8), F (8, 8), G (10, -6), and H (-6, -10). The…

Q: Explain why the integral is improper. 49 1 dx 1.6 1.4 1.2 Y 0.81 0.6 0.4 0.2 10 20 O At least one of…

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Q: 1. Given the function determine: Y y = 4 log5 (x+2) - 7 a) the domain b) the range c) it an…

A: 1. Given y=4 log5(x+2)-7 To determine:   (a) the domain   (b) the range   (c) is it an increasing or…

Q: Match the given differential equation with one or more of the solutions. (Select all that apply.) y"…

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Q: 22. Represent the graph of the following functions using a sine and cosine function. 323 124 10 8 m…

A: The general form of the function is f(x) = Asinkx+M or f(x) = Acoskx-π2+M Where M is the midline, A…

Q: oblem 5. Let P, be the vector space of all polynomials of degree 2 or less, and let H be the…

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Q: At a price of $2.23 per bushel, the supply of a certain grain is 7200 million bushels and the demand…

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Q: Explain why the integral is improper. 49 1 1²0 √/x dx 1.6 1.4 1.2- 1 0.8 0.6 0.4- 0.2 10 20 30 X O…

A: An integral will be improper if at least one of its limit is infinite or function of integral is not…

Q: Can a radical function be used to predict future prices of gasoline? Why or Why not? Elaborate using…

A: Radical functions contain the square root. And we cannot treat the functions with square roots just…

Q: Find the length of the curve X= -y², 1≤ y ≤9

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Q: oblem 5. Let P, be the vector space of all polynomials of degree 2 or less, and let ♬ be the…

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Q: 69 y" + y = f(t) where: y (0)=0, y₁ (0)=1 1 0, 0≤ + 2π

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Q: find the correct form of yp. Do NOT solve for the Don't forget to state y. and yp. coefficients Yp…

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Q: et P, be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

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Q: Q1: If acoshx + bsinhx = c, find the value of x when c² = a² - b².

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

A: Solution

Q: Activity 1: You are testing an electrical device which can be modelled by the following equations:…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts…

Q: Find the cardinal number for the set given below. {x|x is a continent whose name begins with the…

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