1.) Give the Fourier transform of the function f. Sx ha x = [0, 1] f(x) = 0 otherwise.

Q: Sixteen people on a baseball team show up for a game. A.) How many ways are there to choose 10…

A: First we will know that , what is Combination and Permutation. A Combination is Selection of items…

Q: y" + 6y' + 8y = e-³t-e-5t, y(0) = 0, y'(0) = 0 9. a. (e³t − 1)²e-5t b. (et - 1)³e5t c. (et-1)³ e-st…

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Q: 13. Consider functions f: {1,2,3,4} {1, 2, 3, 4, 5, 6}. → a. How many functions are there total? b.…

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

Q: What is the volume in cubic units of the solid formed when the region bounded by (x-1)^2 = 20-4y, y…

A: 1st we will draw region bounded . Then rotate the region about x=1 to create solid and use…

Q: A survey of all the shopping malls in your region yields the following probability distribution,…

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Q: Consider the points A(2, -1, 3), B(7,0, 5) and C(0, 1, 7), and the line with symmetric equations…

A: We will use vector properties and equations of line and plane to solve all part  Note : I have…

Q: y" + 4y' + 5y = 50t, y(0) = 5, y'(0) = −5 -5

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Q: 4. Find the center and the radius of convergence of the following power series. 00 2100n n! zn

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Q: 0, -# < x < 0, π 5. f(x)=-1, 1. 0<x< < 2 I <T.

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Q: Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in…

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Q: Determine the Fourier Series of f(x) = x, over the interval - < x < and has period 2 ! f(x) = Зл 4…

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Q: 3. Imagine you fill your bathtub up at a rate of 2 gallons per minute. This means that every minute…

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Q: Perform the Inverse Laplace Transform of: | in terms of f(t) 2s+3 F(s)=- S s² +4s+13

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Q: Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V₁, V2, V3) such…

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Q: L{12te-³t} 12 a. (s+3) 12 b. (s+3)² 1 C. (s+3)² 12 d.- (s+3)3

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Q: Prove using proof of contradiction. Include explanation.   If n is an even integer, then 7n + 4 is…

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Q: Let I = = {[x] x, y = R} and J = {[2] ZER} E Consider the ring homomorphism y: I → R defined as (a)…

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Q: What is the x-coordinate of the centroid of the plane region bounded by y = 2x + 1, x + y = 7, and x…

A: We have to find the x-coordinate of the centroid.

Q: Identify the graph of the function below: |f(x) = x, over the interval − < x < π and has period 2…

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Q: Determine the Fourier Series of the function below: * π - X 0<x<T f(x) = { 0 π < x < 2π, and has…

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Q: where C is the curve r(t) = (sin(t), cos(t), sin(2t)), 0 ≤ t ≤ 2

A: Given C is the curve                        r(t)=sin(t), cos(t), sin(2t), 0≤t≤2π and…

Q: (5) Show that for any real number x and a subset A of R, exactly one of the following holds: (a) x…

A: Let x is a real number and A be a subset of R then either x will be element of A or x will be…

Q: What are the fourth roots of -3+3√/3i? Enter your answer by filling in the boxes. Enter the roots in…

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Q: 5. The field mouse population in Example 3 satisfies the differential equation dp/dt = 0.5p - 450.…

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Q: 5. L-1 wcose+ssine s²+w² a. sin (wt + 0) b. sin (t + 0) c. cos (wt + 0) d. cos (t + 0) }, w & 0 are…

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Q: 4. Let A = {1,2,3,4). Find a non-empty relation on set A such that the given MI conditions are met,…

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Q: Let y = 18 || = and u = 6 Write y as the sum of two orthogonal vectors, ₁ in Span {u} and ₂…

A: Given that                   y→=-4-3 and u→=66.

Q: 2. Evaluate the double integral that will find the volume of a solid bounded by =1-2y²-3r² and the…

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Q: Which of these are regular polygons? O Only Figure 4 O Only Figures 3 and 4 WHOO 00 Figure 1 Figure…

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Q: Find the solution of the given initial value problem in explicit form. ㅠ sin (2x) dx + cos(7y) dy =…

A: Here we use basic integral to find the solution.

Q: An equiangular triangle in the hyper- bolic plane with interior angle of has an area of 7.

A: True....I attach the explanation...I hope it will help you...

Q: 1 4 = [88] A 0

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Q: 1 (a) Suppose you have toy blocks that are 1 inches, 2 inches, and 5 inches in height. Find a…

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Q: Find the solution of x = X₂ JED -6 where u(t) = 2 and x(0) = [1 -1]. 11 0 JUCE + u(t) (10)

A: The problem is solved using the concept of eigen value and eigen vector.

Q: Identify/Find the surfaces of the following equations by converting them into equations in the…

A: The given problem is to convert given cylindrical coordinates equation and spherical coordinates…

Q: Use a fixed-point iteration method and find p3 with po = 1 for f(x) = 2x³ — x − 2. O -80 7 O -53 -1

A: The given problem is to find 3rd iterative root of the given function with given initial value using…

Q: olve the following differential equation y" + 3y' + 3y = et sint, y(0) = 0, y'(0) = 1

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Q: 5. Use Cartesian coordinates to evaluate JIJ ² av where D is the tetrahedron in the first octant…

A: As there are multiple questions with subparts, I am doing the first question only as per the…

Q: What is the accumulated sum of the following stream of payments? $2,251 every year at the end of the…

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Q: Determine the Fourier Series of S x, x, 0<x<T |f(x) = { T<x< 2π, and has period 27 ! f(x) = [₁ cos…

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Q: 7. 3s+4 L-1{ s²+4s+5- 2t a. e²t (3 cost - 2 sin t) b.e-2t (3 sint 2 cost) – c. e2t (3 sint 2 cost)…

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Q: Considering the matrix 1 A = -2 2 2-2 (a) What is the rank of A? (b) Find the SVD of A. (c) Find the…

A: As requested i have answered for part d and e.

Q: Use Laplace transform technique to solve the initial value problem y' + By = g(t), y(0) = C 0 0 ≤ t…

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Q: Solve the system of differential equations X = = 14x - 6y |y' = 40x 40x17y x(0) = 0, y(0) = −1 x (t)…

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Q: 28. Write 0.684 as a percentage. 29. Write 1.05 as a percentage. 30. Write 18 as a percentage.

A: To convert any number into percentage , multiply that number by 100 28.) 0.684 x 100 = 68.4% 29.)…

Q: lim r² = ∞ 1418

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Q: Antoine stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height…

A: Solution:-

Q: Find the volume of the wedge cut from the cylinder x 2 +y 2 =9x 2+y 2 =9 by the planes z=0and z=y…

A: Solution :

Q: How many years will it take $5,000 invested at 8% simple interest to double? How long will it take…

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Q: Determine the constants a, p, yo and y'o so that Y(s) = Bs + C (s + D)² is the Laplace transform of…

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