Prove that Hence deduce that L{x"; p} r(n + 1) pn+1 " if n>-1, p > 0. L{x-¹/2; p} = √√(π/p),p> 0

Q: Given f(x)=3x² +5x, determine f(-4a) a) 48a² - 20a b) 28a c) 28a² d) 20a² - 48a

A:

Q: Q1: Find the Fourier coefficients and Fourier series of the triangle function f(x) defined by (E+ x,…

A:

Q: Z{(2k

A:

Q: Problem 1: Let A be a 4 x 4 matrix and suppose that |A| = 8. Using properties of determinants and…

A:

Q: 9. If S and T are finite spanning sets for a vector space V, then S and I have the same number of…

A:

Q: (s 8) Find The Hessian marrix at The point (1,2,3) of T Funchun: f (21₁ 9₁2)=21² y 2

A:

Q: 1 2 3 1 that R2 = 2R+cS. b. If R = and S= 1 0 01 find a number c such

A:

Q: a) The idempotents Of (Z6,0,0,) are ONLY 0, b) The number 161 is an irreducible element in Z[i] c) A…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: Solve the I.V.P using [x = vy). y dx + (ycos ( 2 ) - x) dy = 0, y (0) = 2

A:

Q: Q4/ Using the Taylor series method to solve: = y cos(x), Where y(0) = 1. dx

A:

Q: Determine a fundamental set of solutions to the ODE y (4) +81y = 0. (Again, you don't need to check…

A:

Q: 8. The polynomials x - 1, (x - 1)2, and (x - 1)³ span R3[r]. 9. If S and T are finite spanning sets…

A:

Q: Can this be written out with pen/cil and paper?

A:

Q: If p is true, q is true and r is false; what is the truth value of (pv~q)^r? a. true b. false a O b

A:

Q: Suppose that a population of bacteria grows at a rate after t days is given by p^'(t)= 1000/sqrt t…

A: We have to find the population function p(t) at time t.

Q: 3. Write five other iterated integrals that are equal to the given iterated integral 1 1-y S. SS.…

A: The given integral is                              ∫01∫x1∫01-yfx,y,z dz dy dx. To find: the order of…

Q: Use the Delivery Charges information above to answer this question. Yaster Shipping, a competing…

A:

Q: Express the values of each of these Boolean functions using tables: a) G (a, b, c) = ab + (abc)

A:

Q: 3 3 b. 0 -9 000 -1 -2. In each part of Exercises 7-8, find the augmented matrix for the lin- ear…

A:

Q: I don't understand this can u see a clear version

A:

Q: 1. How would you verify that matrix A1 is the inverse of matrix A?

A:

Q: Sketch and label both the original and the transformed functions on the same grid. f(x) = x g(x) =…

A:

Q: 4 Computation Please solve the following questions with details. (1) Evaluate the double integral…

A: 1.The given integral is ∬σ x2+y2 dσ and the region bounded by x=1, y=0 and y=x2 To find: the given…

Q: The value x = 36.58 should be used in the cost model to estimate the cost of producing how many…

A: We need to determine the number of item T corresponding to x=36.58.

Q: 8) Find the volume of the solid under the surface z = 2x + y² and above the region bounded by y=x5…

A: AS PER COMPANY GUIDELINES WE ARE ALLOWED TO SOLVE ONE QUESTION AT A TIME SO I AM DOING ONE PLEASE…

Q: a) Using the substitution method to evaluate the following integral dx. b) Using the integration by…

A: 2. (a) Given,         ∫x-1x5dx

Q: 10. [ Find the flux of the vector field F(x, y, z)= 3 over the surface S, where S is the surface of…

A: The general form of a vector-valued function in three dimensions is given by F→=Fx, Fy, Fz, where…

Q: A spring has a natural length of 10 inch. An 800-lb force stretches the spring to 14 inch. How much…

A: *This problem belongs to Analytical Dynamics,so we can solve it in Advanced Math*

Q: A fuzzy set B is closed if and only if B contains all the accumulation point of B. accumulation…

A: Option-A is correct.

Q: A company manufactures dog leashes that sell for $17.64, including shipping and handling. The…

A:

Q: When the area under f(x) = x2 + x from x = 0 to x = 2 is approximated, the formulas for the sum of…

A: Given Left-hand endpoints SL=143-6n+4n2 Right-hand endpoints SR=14n2+18n+43n2

Q: c. Calculate the angle made with the positive direction x- axis by the vector of (a) v= 3₁+ 4j (b)…

A:

Q: 5. Let S = {V₁, V2,..., Un}, n ≥ 2 be a set of nonzero vectors of V. Each of the following…

A:

Q: 5. Let S = {V₁, V2,..., Un}, n ≥ 2 be a set of nonzero vectors of V. Each of the following…

A: Given,  S= { v1 , v2 , v3 , ...... ,vn } , n>=2 is a set of nonzero vectors of V .

Q: Reduce the matrix to its reduced echelon form. 92-6 -59 6 7 6 -61 04 6 -10

A:

Q: Question 18 Evaluate the integral of the following function over the closed path. Consider the curve…

A: I have given the answer in the next step. Hope you understand that

Q: . Consider the following equations in X1, X2..... Xn are variables, and a₁,a2.... n are general…

A: Given clear explanation below

Q: Let Q(x) = 21x² + 3x2 +21x3 +24x₁x₂ −12x₁ x3 +24X2X3. Find a unit vector x in R³ at which Q(x) is…

A:

Q: 2. Determine the equation of the line perpendicular to the tangent line to the function e at the…

A:

Q: Find the equation of the line passing through the points (-5, -14) and (7,10). Write the equation in…

A:

Q: 1. solve the following different equation using Laplace transformation: dry dat -4 d2 +67 = 4€ 4t;…

A:

Q: Use the Gaussian elimination to solve the following equations, so the variables X and Y…

A:

Q: 2) The objective of this question is the transformation of a 2nd order linear diff a system of 2…

A:

Q: Show that 1 – 1 { /* ¹ = " du; p} = ²/ 108 (1 + ² ) ₁ log L 14

A:

Q: Suppose that 10 years ago you bought a home for $120,000, paying 10% as a down payment, and…

A:

Q: Determine whether the given set S is a subspace of the vector space V. ? V 1. V = RX", and S is the…

A:

Q: Given matrix B = 0 -4 11 5 14 -13 -4. What is the element B33 in the Inverse Matrix [B]¯¹? 6

A:

Q: Q)Find the relation error use the trapezoid rule to 2π approximate the definite integral. Use n=4,…

A:

Q: 4. F = = Let c = (1, 1, 1, 1), c Find all x € (-∞0, ∞o) such (2, 2+x, 2, 2), c = (3,3,3 + x, 3) and…

A:

Q: 1. Find a solution of the system: x₁ = 2x₁x₂ x₂ = -x² x₁ (0) = x₂(0) = 0

A: 1.The given system of differential equation is                          x'1=2x1x2x'2=-x12 where…