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Q: 3. (a) Find the real Fourier series of the function -2x - 4 if - 2<x<0 if 0 < x < 2 2x - 4 f(x) =…

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Q: 11-12 Sketch the graph of the function and use it to determine the values of a for which limx→a f(x)…

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Q: a -8 b If C 4-3 b has eigenvalues ₁=1, A₂=2, A3, which of the following is equal to b? 3-4 1 O Ab=8…

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Q: Find the Fourier series representation of the periodic function below if m = 9.61 and k = 21.8.…

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Q: For the given values of n and d, find integers q and r such that n = dq + r and 0 ≤ r < d. n = 6, d…

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Q: Show that the system: - 4x - 2y - y = cost, 2x + x + y = 5 sin 3t, is equivalent to the following…

A: The system is given by:   x¨- 4x- 2y˙-y=cost 2x˙+ x + y¨ = 5sin3t Or the above system can be written…

Q: 5. Determine the values of m and n for f(x)=mx³+20x²+nx-35 given that (x+ 1) gives a remainder of…

A: Consider the given function, fx=mx3+20x2+nx-35 It is given that when fx is divided by x+1 gives a…

Q: Let a be a complex number that is algebraic over Q. Show that√a is algebraic over Q.

A: It is given that a is a complex number that is algebraic over Q. It is required to show that α is…

Q: Suppose a is a positive integer. Simplify the expression a Σ((n + 2)³ + n³ - 2(n+1)³). n=1

A: Introduction: The formula for the sum of n natural numbers is used to find the phrases 1 + 2 + 3 + 4…

Q: According to a recent survey of 28 million citizens in the United States, 8 million were planning to…

A: Answer)  Giventhat: According to survey citizens in U.S=28 million No.of citizens planning to start…

Q: Sketch the level sets of a continuous function h(x, y) that clearly has a local maximum at (x, y) -…

A: The contour plot is used to display the details of a three-dimensional surface, such as level…

Q: Can you write this all out? So I can understand the steps clearly.

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Q: The price of a car is $22,000. you have to save 20% of the price as a down payment after the down…

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Q: at the graph of the given function and by what factor the function is to be stretched or compressed…

A: Stretching of the function by some factor

Q: 1 1 22 3 1 4 6 55 (Round to 3 decimal places as needed 6 9

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Q: 5. (a) Write two versions of a Compare, Bigger Unknown problem. Use "more" in one version, and use…

A: Answer)  a) take any two random numbers.  Let's take 30 and 50. First version with "more" : Ram has…

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x - 3y subject to the…

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Q: Graph data is there a trend in the data? What is the relationship between sound level and the…

A: We observe that as the distance from the sound source increasing the sound level is decreasing.

Q: Consider the solid generated when the region enclosed by y = √x, y = 2 and x = 0 is revolved about…

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Q: Give an example of (a) a composite number of the form 2º – 1, where p is an odd prime. (b) a…

A: b) Here we need to find an example of a composite number of the form  22n+1 where n is a non…

Q: The curve traced out by a point P on the circumference of a circle as the circle rolls along a…

A: We have to find the area of A  We know area =∫x'(t)y(t)dt

Q: Determine the W₂ fourth root of 81 +81i in polar form. COMPLETE THE MISSING THE BLANKS FOR THE FINAL…

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Q: Determine the radius of convergence of (x-2) ²+3 taking into account that the endpoint of the…

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Q: Congruence. 1.Find the remainder when 3¹² is divided by 11 2.Find the remainder when 4¹⁰ is divided…

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Q: 4) Graph the polynomial function. Don't forget to find the x-intercepts to divide the x-axis into…

A: Find value of f at 0 . Find zeroes of f(x).Then test values at three intervals.

Q: Please show your complete solution and write readable thanks. Math town has a current population of…

A: Given current population =50,000 rate of increament = 3% per year increament per year =3% of 50,000…

Q: 5. Perform five iterations of Jacobi and Gauss-Seidel iterative methods to solve the system of…

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Q: 6. Let f(x) = x² when r is rational and f(x): = 0 when z is irrational. Discuss the continuity and…

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Q: Solve the following differential equation: ?′′′ +2?′′ +5?′ −26?=0

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Q: A furniture maker has 6 units of wood and 28 hours of free time, in which he will make decorative…

A: Let the number of units in model 1 be x and model 2 be y. Model 1 requires 2 units of wood and 7…

Q: Given the below function and graph, determine the following. a. A Fourier series representation of…

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Q: Use a fixed-point iteration method up to six iteration to determine a solution for x-3x²-3-0 on [1,…

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Q: 4. Determine whether the given s (a) V = {x = (1, 22, 23) € (b) V = {x = (11, 12, 13) E (c) V = (x =…

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Q: Use a graphing utility to complete the table and estimate the limit as x approaches infinity. (Round…

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Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x² + y² subject to the…

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Q: d the Fourier series representation of the periodic function below if a = 4.4, b = 8, c = 5.9, and L…

A: Fourier series of the function.

Q: 2. Evaluate the integral by reversing the order of integration. √ysin(y²) dyda

A: Chenging the order of integration mean dy dx to dx dy.

Q: Find the 1st 3-terms in the series for the function sin(sin x). Using the three terms, evaluate the…

A: We need to evaluate the given limit, limx→0 x-sinsin xx3 First we will find the Maclaurin series for…

Q: Construct a diagram or a concpet map to show the relationship between sets, groups, rings, fields,…

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Q: Draw a valid conclusion from the given premises. If a guitarist strums an E chord, then they're…

A: Solution: Given premises are, If a guitarist  strums an E chord, then they're playing E, G# and B.…

Q: y³y' + x³ = 0 .3

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Use spherical coordinates to find the volumes of the two solids obtained when the hemisphere z =…

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Q: 2 x dy + 3y dx = x²y3 dx

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Q: 1 Express the complex number z= 3 45° in exponential form.

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Q: Find the truth set of each predicate. (If your ans 8 (a) Predicate: is an integer, domain: Z d (b)…

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Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 9x² + y² = 6. maximum value=…

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Q: Let f(x, y) = 4x³ +e-3². Find critical points and classify them as local maxima, local minima,…

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Q: Use the formula for C, to evaluate the given expression. n 7C4 7C4 (Type an integer or a simplified…

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Q: Let V be an inner product space. Which of the following is not correct? A. None in the given list. )…

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Q: 3r-e²=0, [1, 2]

A: (d) The given equation is 3x-ex=0. To find the solution in the interval 1,2 proceed as follows.…