Find the Fourier Series on (-7, π) of cos x, if- < x < 0 if 0 < x < T. COS I, what points in R is the Fourier Series discontinuous? f(x)=

Q: -2 5) Are following functions Sin²x, sin (x²), lux, (x² +1) J ^ even or odd or xe tanx neither even…

A: 5) We need to determine whether the following functions are even, odd or neither: (i) f(x)=sin2x,…

Q: 0 0 -212 0 5 (3.08, 3.12) Consider the symmetric matrix A = 0 1 (a) Find the trace and determinant…

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Q: Solve the following linear program using the general formulas z = -2x1-x2 x1 + x₂ ≤ 5 2x1 + 3x2 ≤ 12…

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Q: THÉOREM 9.8. Let X be a Hilbert space, suppose that A = {X₂}, is an ortho- normal set in X, and let…

A: note : As per the instructions we will only solve the part (1), (2) of the question.

Q: [10] (1) GIVEN: The surface : xy + 2xz+z z² + y2 + 2, and the point P₁ = (1,– 1,1). Note that P. €…

A: Given surface: xy+2xz+z=z2+yz+2 i.e., xy+2xz+z-z2-yz=2 Let f(x,y,z)=xy+2xz+z-z2-yz Here ∇f=i…

Q: A firm has two stores and two warehouses. The transportation costs from warehouse 1 is $18 to store…

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Q: (12) Let p be a prime integer, p≥ 5. Prove that p² - 1 is divisible by 24.

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Q: hich of the following is a power series representation of the function F(x) O O O O -~(-5) ¹ - (¹)…

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Q: Solve the following linear program using the method of tableau maximize subject to 2 = 2x1 + x2 - 23…

A: Objective Function: Maximize: Z = 2X1 + 1X2 - 1X3 Subject to: 1X1 + 1X2 + 0X3 ≤ 1 1X1 - 2X2 - 1X3 ≥…

Q: A whole number is an abundant number if the sum of its factors (other than the number itself) is…

A: (a) (i) Given number is 30. All its factors(except itself) are 1, 2, 3, 5, 6, 10 and 15. Their sum…

Q: [10] (1) GIVEN: The surface : xy + 2xz+ z = z² + y2 + 2, and the point Po= (1,-1,1). Note that P..…

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Q: A certain rumor spreads through a community at the rate dy/dt=3y(1+y) , where y is the portion of…

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Q: For the function f whose graph is given, determine the limit. Find lim f(x) and lim f(x). x-2- X-2+…

A: The given graph of the function is

Q: A ramp runs from ground level to a building entrance that is 4 feet high and 20 feet from the base…

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Q: The Principle of Inclusion-Exclusion can be used to solve the following problems. 1. How many…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: K In how many months will money double at 9% pa. compounded semi-annually? State your answer in…

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Q: Begin by solving the linear equation for y. This will put the equation in slope-intercept form. Then…

A: The equation for y : 3x+2y=3

Q: . (c) / 3.1dc. J x3+1

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Q: 2.1 Given complex constants a, b with a 0 the map T(z) = az + b is called a general linear…

A: Since you have posted multiple questions... according to company rule we are supposed to provide…

Q: 9. Suppose we have matrices A, B, C, D as follows: - [23] A B C = = 1 4 -2 4 D = 1 -14 (a) Either…

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Q: Find the prime factorization of the following numbers. a. 1178 b. 1178 c. 207¹1 d. 3923-3922 19

A: Divide 1178 by the smallest prime number, 2. We get 589 as the quotient and 0 as the remainder.…

Q: 1. Let n be an element of integer. Prove that n² + 3n+ 5 is an odd by considering the cases below:…

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Q: Write the first fifteen counting numerals for each of the bases below. . two (Only digits 0, 1 are…

A: We know that binary numbers uses only 0 &amp; 1.

Q: 9. Consider the following periodic function: f(x) = 2 sin(x + 7) + 4 Identify each of the following:…

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Q: Question 5 Answer the following based on the diagram below: 22 (2 ad f 6.0 g a. Find the minimal…

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Q: - a) Let A = 1 1 01 -1 1 Find AT A.

A: We solve only (a).( According to guidelines)

Q: The Johnsons have accumulated a nest egg of $28,000 that they intend to use as a down payment toward…

A: Down payment = $ 28,000 Monthly payment = $ 1,200 Interest rate = 7.5 %  year = 0.07513 = 0.00577 (…

Q: (g) 111... 111 (126 ones) (2) Prove that the numbers given in each part cannot be prime…

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Q: Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 8 + 2x² +…

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Q: For the function f(x)=log_((1)/(3))(x)+3, determine whether the function is increasing or…

A: The given function fx=log13x+3. We have determine whether the function is increasing or decreasing.

Q: [15] (4) GIVEN: z = f(x, y) = x²y, where (x, y) is subject to the constraint: I: x² + xy + 7y² 27, x…

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Q: A college professor conducted student evaluations at the end of a semester. One important question…

A: A college professor conducted student evaluations at the end of a semester. One important question…

Q: If f(x,y)=2y2ex+3ln(xy), find fxyy(1,1).

A: Given  fx,y = 2y2ex + 3lnxy                        fxx,y = ∂f∂x = 2y2 ∂∂xex + 3∂∂xlnxy…

Q: A study of average driver speed on rural highways by A. Taragint found a linear relationship between…

A: Given that, On a straight road D=0, the average speed was found to be 46.26 miles per hour. This was…

Q: Find the order of Z=0 for the following functions: 1) 1+2-e² 2) 6 sin(z ³) + z9-673 3) (e²²-1-7²)…

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Q: 9. Suppose the third column of B is the sum of the first two columns. What can you say about the…

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Q: K← Find the slope of the line shown on the graph to the right. Select the correct choice below and,…

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Q: Activity 8.3.8. Use the Limit Comparison Test to determine the convergence or divergence of the…

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Q: GIVEN: The surface : xy + 2xz+z = z² + y2 + 2, and the point P₁ = (1, 1,1). Note that P.. FIND: The…

A: Given surface: xy+2xz+z=z2+yz+2 i.e., xy+2xz+z-z2-yz=2 Let f(x,y,z)=xy+2xz+z-z2-yz Here ∇f=i…

Q: (3) Prove that if a cube of a number is divisible by 17, then the number is divisible by 17.

A: We have to prove that if cube of a any number is divisible by 17 then the number itself is divisible…

Q: d) Find the Möbius transformation that maps. ii) i 0, -36+2i, ∞ →→2i

A: We know, the general form of a mobius transformation is given by       f(z) = (az + b)/(cz + d)…

Q: nd f(3x²+2y)dx- (x+3cos y)dy through the parallelogram with vertices (0;0), (2;0), (3;1) and

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Q: (b) Repeat part (a) with the matrix -6 -8 10 1 -5 -1 -5 -4 9 B = You may use the fact that the…

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Q: Consider the matrices A Is B the inverse of A? OTrue ( 1 1). and B - /0.25 0.5 0.25 0.25 -0.5 0.25,…

A: A matrix B  is called invers of A if their product gives identity matrix. i.e. AB=I

Q: Using the Heaviside function u(t) write down a function y(t) that represents the plot below. You may…

A: From the given plot, we see,     When t &lt; 1, y(t) = 0    When 1 ≤ t &lt; 2, y(t) = 3    When 2 ≤…

Q: The rest of my solutions, D-F, were not given/solved.

A: The domain of csc-1x is ℝ-(-1,1) and it has a horizontal asymptotes in this domain but no vertical…

Q: 2.2 Suppose that T: CC is a general linear transformation. Prove that T maps lines to lines.

A: A general linear transformation T: C to C defined as T(z)=az+b Where a and b are complex numbers.

Q: Use the Second Shift Theorem to determine i. F(3te-(t+5)²) F-1 e3(w+2)j ii. 3+(w-5)j

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Q: how many months will money double at 9% pa. compounded semi-annually? State your answer in years and…

A: Let us consider an amount of $1. Then, 2 = 1*1.045^n, where, n = number of half years.