a) Find the Fourier transform of 4 f(t) = e tu(t) + -tu(t) + ²9.

Q: Find the area bounded by the curves x 2 = y − 1 and = y − 3 .

A:

Q: nk 2j ΣΣΣ k=4j-7h=6 = I || first step 2nd step 3rd step 4th step final CTLSWET

A:

Q: b) A vector field is given by F = 3yx² i + (2yz + x³)j + y²k i) Show that the vector field F has the…

A:

Q: TRUE or FALSE 1. The set R³, with the vector addition operation defined by (a1, a2, as) (b₁,b2, bz)…

A:

Q: Ali, Ben and Calvin divided some stickers among themselves. Ali took 20 stickers and 1/5 of the…

A:

Q: Find the solution of the following system of differential equations: x' (t) = − 6x(t) + 4y(t) y' (t)…

A:

Q: 1. Given an array of strings, return another array containing all of its longest strings. NOTF: use…

A:

Q: Miguel deposits ₱135,500 in a savings account that pay 13% interest converted semi-annually. If he…

A:

Q: Complete the table below for the equation y = graph the equation. y = 2x 1 Y 8 ? Graphing Linear…

A:

Q: 200 Let the functions f and g be differentiable at the inner point a of their domain. Then A] fg is…

A:

Q: dx 2. Evaluate _1 (1+x²³²) +√√1+x6 by Composite Simpson's 1/3 Rule.. n=4 I= (b − a): f(xo) +…

A:

Q: Q 1. (a) Let R, the set of real numbers, be the universal set, A = (-3,6], B = [4, 8) and C = [2,…

A:

Q: Beth and Sarah are selling candy for a school fundraiser. Customers can buy small boxes of candy and…

A:

Q: Discuss the questions in groups. • What are some of the good and bad points about being a clown…

A: Since you posted multiple question, we will solve the first question for you. Kindly repost other…

Q: 4. Given that x³ - x - 1 has a root between 1 and 2 Find the root to four decimal places using…

A:

Q: CLAMPED SPLINE MODEL PROBLEM Suppose S(x) interpolates f(x) at xo = 0, x1 = 1 and 2 = 2 by a clamped…

A:

Q: 3. Emily is making a closed rectangular box with a square base from two different woods. The wood…

A: Let box has dimension as: (W,L,H) where W is width ,L is length , H is height according to question…

Q: There exists a 3 x 3 orthogonal matrix A such that 2 A 0 = True False

A:

Q: H.W: Solve the differential equation y'-(1+x)(1+ y²) = 0

A: To solve the below differential equation. y'-1+x1+y2=0

Q: 8. Find the solution of the following system of differential equations: Use Variation of Parameters…

A:

Q: 1 2 70-7 2 1 0.5 0 Find the volume of the solid bounded below by the plane z = 2 and above by the…

A:

Q: 1. day dx² dy - 3x +2y=0 (Cor

A: Solution :

Q: Find a general solution to the differential equation. y' + 2y = 2 tan 2t - 3t 21-11e³1

A:

Q: What is the order of the unique Lagrange inter- polating polynomial that passes through n + 1 data…

A: Solution

Q: If n, k E Z. s. t. n is the square of an odd integer, then the perfect square of n must be of the…

A:

Q: II. Let Q-set of all real numbers, A-index set. Identify the generalized union and intersection of…

A:

Q: 1 1. H = Span Suppose : = The projection of von H is: [1] 0 {Q.A]} 1

A: Given, ν→=111 H is the vector spanned by 011and 101.

Q: will you show me how to use Laplace transform for this?

A:

Q: 1. Find the product of the following decimal numbers. 1.) 4.54 x 0.16 = N 4.) 0.38 x 7.11 = N 2.)…

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

Q: 3 The function f: R2 → R defined by f(x, y) = x³ + y³ – xy, (x, y) = R², has (A) a saddle point and…

A: The given problem is to find the critical points and determine that what type of critical points are…

Q: What is the general form of the chosen low or- der polynomial model?

A:

Q: 2. C is the boundary curve of the area that lies inside r = 1+ sin and outside r = -√3 cos 0 and r =…

A: If f is continuous and non negative on the interval α≤θ≤β with 0<β−α≤2π. Then Arc length of polar…

Q: Suppose A. B and X are 'nxn matrices such that A and B are invertible, and Which one of the…

A:

Q: 1. Evaluate the integral 2 4-x² 8x cos y y-4 by reversing the order of integration. dy dx

A:

Q: 3. Emily is making a closed rectangular box with a square base from two different woods. The wood…

A: Given- Emily is making a closed rectangular box with a square base from two different woods. The…

Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer…

A:

Q: Complete the table. y + 1 = -X -2 0 1 Alu y 00000 (x, y)

A:

Q: Given a non-linear equation xsinx +cosx =0. Use newton-raphson method to find the root of this…

A: Given: xsinx+cosx=0 To find: Root of given function

Q: 9. If A, B, and C are sets then the class = {B-A, C-B, A-C, ABC) is a partition of AUBUC. 10.…

A:

Q: (D4 -1)y = 7x2

A:

Q: Solve the system of equations by Jacobi's iteration method: 10x + y z 11.19 x+10y + z = 28.08…

A:

Q: functions is/are G.4 which one of the Following Rational Function, sketch the rationt function 2 a)…

A:

Q: Solve the following equations and compare the roots using the five methods. Tabulate the data…

A: Given: f(x)= x³ + 3x² - 2x - 7 To find: Solution

Q: By using partial fractions, or otherwise, which of the following is a power series representation…

A:

Q: Question 2 Demonstrate the solution of the following system using Gauss elimination with partial…

A:

Q: 1. Write each of the following in "If p, then q" form. a. Every square is a rectangle. b. Being…

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

Q: Fill in the blank with an integer. The distance of (5, −3, 5) to the subspace spaned by {(2, 0, −1),…

A:

Q: 1. = A solid G is bounded by the paraboloid z x² + y² = 4 and the plane z = 5. Evaluate [[[(x + 3…

A:

Q: The following are the vertices of a triangle A(4, 0, -1), B(-4, -1, 0), and C(3, 1, 1), find: vector…

A: