Find the Fourier Cosine Transform of the function -mx f(x) = (ae-m +be¯¹x}³_if_x>0 if a = 5, b = 4, m = 6, and n = 4. Then, evaluate the transform if w = 16.7. Round off the final answer to five decimal places.

Q: A fellow classmate observes the sequence 0.00000625+ -0.0000125 + 0.000025 and claims it is…

A:

Q: (a) Find the differential of the daily cost and use it to approximate the cost change if the current…

A: Given Cx=x31000-x250+50x+20,000 (a) Differentiate the function with respect to x.…

Q: Many factors go into assessing the value of a house for tax purposes. Once the proper category has…

A:

Q: Use the dual simplex algorithm in order to find a solution if the constraint x1 <= 2 is added

A:

Q: 10.y = cos(5x), find y⁹⁹ 99

A:

Q: 3. So far in the course, we have only talked about sequences which converge to some real number. In…

A:

Q: At the age of 27, to save for retirement, you decide to deposit $80 at the end of each month in an…

A: Let; Amount A, Initial principal balance P, rate of interest r, t is the time period Then…

Q: [Law of Diffusion] According to the law of diffusion, particles in a gas will move in the direction…

A:

Q: Use a truth table to determine if the following symbolic form of an argument is valid or invalid. P→…

A: Given, The symbolic form of an argument: p→~q~p∴ ~q   We have to determine that the symbolic…

Q: 7. y arccos(cosh(10x))

A:

Q: Please show your complete solution and write readable thanks. A gardener makes a triangular planting…

A:

Q: Determine whether the argument is valid or invalid. All C are E, all C are A, and some E are D.…

A:

Q: 11. (a) Kweku belongs to three different social clubs in his community. One club meets every 5 days,…

A:

Q: In an encyclopedia of language, the author presents five sentences that make a reasonable paragraph…

A: We have to find the total number of different orders can the five sentences be arranged.

Q: 2. Give a combinatorial proof of the following identity n 7n6n6i-17n-i = i=1 Hint: Consider strings…

A:

Q: Let F be a field and let p(x) ∈ F[x]. If f(x), g(x) ∈ F[x] anddeg f(x) &lt; deg p(x) and deg g(x)…

A: Given : F be a field and let p(x) ∈ F[x]. And, f(x), g(x) ∈ F[x] such that deg f(x) &lt; deg p(x)…

Q: Let A be a 4 x 4 matrix, and let 6 and 7 be two vectors in R4. We are told that the system A = 6 is…

A:

Q: Evaluate the expressions. (a) 50 div 7 7.143 (b) 50 mod 7 1 ]x

A: We shall answer the following in next step. We also recall the definitions

Q: Find an equation of the tangent plane to the parametric surface R(u, v) = ((u - sin u) cos v, (1 -…

A:

Q: 2. Construct the cubic spline that intersects with function f(x) at these points (1,-5), (0,3),…

A: Given Data: To construct the cubic spline that intersects with function  at the points , ,  and use…

Q: 15. Let (S, d) be a metric space and let X = (,) be a Cauchy sequence in S. Prove that if X has a…

A:

Q: Let B be a subset of a vector space V. Show that B is a basis for V ifand only if every member of V…

A: Basis: A basis is a set of vectors such that the vectors are linearly independent and these vectors…

Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

A: 7. The given relation y=-2x+42-5, where x≥-2 We have to find the relation is a function or not, and…

Q: Consider the differentiable function f (x, y) = x2+ y2. Find an equation for a plane that •is…

A: Solution:  Consider the differentiable function f (x, y) = x2+ y2. Find an equation for a plane that…

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

A:

Q: 1. Prove that 1 (nt) converges uniformly on S = [0, 1]. x2n

A:

Q: III. Solve the following rational equations by following the steps. Check your answer for extraneous…

A:

Q: Suppose you wish to create a truth table to analyze an argument whose variables are: A, B, C, R, S,…

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

Q: If f(x) = (x5+1)(x4- x) and g(x) = (x3-1)2 then g is O(f) but f is not O(g). Group of answer…

A:

Q: Consider the subspace S of the Euclidean inner product space R* spanned by the vectors v₁ =…

A:

Q: Given the vectors 1 v₁=(-1,0,2), v₂=(0,2, -3) and =(2,2,3), suppose v4 is another vector which is…

A:

Q: ure ciative

A:

Q: Find linearly independent functions that are annihilated by the given differential operator. (Give…

A: We have given a differential operator, D2D-6D-8. Here consider D2D-6D-8=0. It's auxiliary equation…

Q: Let a and b be vectors in R" such that ||a||=|| b||=2 and (a,b)= — . Then ||a - b||= ...

A:

Q: Consider the matrix A = 6 5 and with partial pivoting? Selected Answer: X 4-8 1 7 whose LU…

A:

Q: Given the periodic function over the period [-π/2, π/2] f(x) = x|x| a. Plot f(x) on the interval…

A:

Q: 14. Let (S, d) be a metric space, ACS, and c E S. Prove that c is a cluster point of A if and only…

A:

Q: x1 + 5х2 + 3x3 4x1 + 2x2 + 5х3 2х, + 4x2 2х1 - = 14 3 16 3x3 + 8x4 + 6x5 = 2х5 X3 = 0 0

A: x1+5x2+3x3                               =144x1+2x2+5x3                            =3…

Q: QUESTION 8 1 Given A = 1 3 0 2 1 find -2 1-1 8.1 the eigenvalues of A 8.2 an eigenvector…

A:

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

A:

Q: 4 بنا -2 -1 45 3 2 1 -1 -2 -3 A 2 3 -5- The graph above (and below) is the DERIVATIVE graph of a…

A: A) The function is increasing on (-4,1) U (4 ,5) B) The function is decreasing on (-5,-3) U (0,4)

Q: 2. If a 1 and an+1 = 3(1+) for each n> 1. 3+0 Does the sequence converge? What is the limit?

A:

Q: If A=P-¹BP then B=Q-¹AQ for Q¹ =P where A,P,B and Q are square matrices of the same size. True False

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The size of a…

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

A:

Q: Detailed

A: We prove first part of Que 4 by Contradiction method.  Given that a is any integer. Any integer of…

Q: Consider the system Its augmented matrix is abc d BJ efgh ax+by+ cz = d ex+fy + gz = h (a) Find all…

A:

Q: Given the vectors OA.O v₁=(-1,0,2), v₂= (0,2,-3) and v₂=(2,2,3), suppose v is another vector which…

A: Given vectors v1=-1,0,2 , v2=0,2,-3 , v3=2,2,3 Suppose v4 is vector orthogonal to v1 and v3 and v2 ,…

Q: Determine the binary notation for 810. Enter your answer as a base-two number but do not include the…

A:

Q: Find the value and if it does not exist, prove it. lim z→1+i z² - 2z+2 z² - 2i

A: