Find and simplify the expression if f(x)=x²-11. f(4x) f(4x) = (Simplify your answer.)

Q: 2. Let z = sin(xy) + x siny,x=u² + w² and y = uw. 2a. Compute Vz= when u = 0 and w = 1.

A:

Q: Use the simplex method to solve the linear programming problem. Maximize z = 3x₁ + 2x2 subject to:…

A:

Q: 9. Which of the following cycles is a bipartite graph? A. C307 B. C105 C. C151 D. C1000

A: Sol

Q: T B. Find the general solution of the differential equation by using (Variation of Parameters…

A:

Q: (d) Find the solution y = o(t) of the given problem and evaluate o(t) at t = 0.1, 0.2, 0.3 and 0.4.…

A:

Q: 2. Find the duals. a) Maximize Z = 2x₁ + x2-x3 subject to: 2x1 + 2x2 ≤3 -X1 + 4x2 + 2x3 ≤ 5 X1, X2,…

A: Primal to dual conversion  Objective function is maximize  is converted to minimize Objective…

Q: c2π rieit 0 20 + reit dt

A:

Q: Obtain the Legendre polynomial Ps(z) by application of the recurrence formula nPn(x) =…

A: The solution is given as

Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.  How many sets of 7…

A:

Q: The parametric equations of a curve is x = = 3 sint, y = 3 cost and z = 4. (a) Sketch the curve r(t)…

A: The given parametric curve is x=3sint, y=3cost, z=4. (a).  To draw the given curve rt=3sint, 3cost,…

Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

A:

Q: D 9 9 15 E 19 C 8 9 8 5 8 10 F 9 13 B 7 6 A

A:

Q: Q. Show that DY+ . + (7) + (2) , Y + C D + (2) ( y = لا

A:

Q: Show ow th Ghas a vertex of degr xactly two leaves, pro

A: a) Suppose that there is some other cycle δ. If δ does not contain e, then it is contained in T,…

Q: Convert the numeral to a numeral in base 10. 60312 60312 = 10

A:

Q: 4. Find the inverse Laplace transform of 1/(s² + 4s + 5) Enter your answer

A:

Q: (8 sint, 0 π Apply Laplace transform to solve the ÿ(t) + 9y(t) = {8 sin t 0, y(0) = 0, y(0) = 4.

A:

Q: 42. Which of the following graphs contains a cut-vertex? A. Complete graph K3 B. cycle C4 C. path P2…

A: Sol

Q: Question 1 Which of the following is a power series about base point 0 for the derivative of…

A:

Q: An example of a nonlinear third-order differential equation in normal form is con 160)

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

Q: Prove that the Fourier series of f(x)=z²+3x², -*≤ ≤T 1). converges to f uniformly on (-*.*).

A:

Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

A: The given problem is to determine whether the given function of two variables is differentiable at…

Q: Problem 9. Let X1 (0) x₂ = I3 = 1 0 and let U = Span (T1, T2, T3). Use the Gram-Schmidt process to…

A:

Q: 2. For the following problems, determine the area of the region between the two curves in the given…

A:

Q: Consider the partition P of [0, 1] be given by P = {0, 1/8, 1/4, 1/3, 2/3, 3/4, 1}. What is the norm…

A: Here given that the partition P of 0, 1 be given by P=0, 18, 14, 13, 23, 34, 1 .We have to find the…

Q: The function f(x) is defined on (0,2) by f(x) = |x-1| I. Compute the Fourier series of the function…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Sdz dx dy=1 dz dy dx=24

A:

Q: 3x+5y>6 Find a solution that satisfies this inequality and a solution that doesnt. Show how you…

A:

Q: Factor Linear f(x) = x¹-6x³ + 13x² - 12x +4. Suggestion f(x) has some multiple root

A: Sol

Q: 17. How many edges has each of the complete bipartite graph K5,13? A. 65 B. 75 C. 55 D. 45

A:

Q: Find the surface area of the part of the circular paraboloid z = x² + y² that lies inside the…

A:

Q: Determine the x-intercept(s) of the graph visually. Then find the x-intercept(s) algebraically to…

A:

Q: Evaluate the Inverse Laplace transformation of the following functions 1 TJ 1 (4s²+3s-20) s(s²-4)

A:

Q: Additional Activities Time to show what you got! Find the equation of the line that fits the data…

A: Given that the table is

Q: fin (x In (x + x²) dx

A:

Q: divisible by 3

A:

Q: The diagram below shows the intersection of a sphere of radius 2 centred at the origin with cone…

A:

Q: 24. What is the line graph of cycle C9? B. Ps B. Cs C. P9 D. C9

A: Sol

Q: Problem 1. Let A = 2 2 2-5 4 4-5/ 2 (1) Compute the characteristic polynomial of the matrix A. (2)…

A:

Q: -kx (b) Find the Fourier integral of the function f(x) = e when x > 0 and f(-x) = f(x) for k>0 cos2x…

A:

Q: Nx - My M If = Q, where is a function of y only, then the differential equation M + Ny 0 has an…

A: Sol

Q: uxx + uyy =0, 0<x<a, 0 <y<b, B.C. u(x, 0) = 0, u(x, b) = f(x), 0 ≤ x ≤ a, ux(0, y) = 0, ux(a, y) =0,…

A:

Q: At the center of the lobby of a hotel is an artificial pond in the shape of an octagon serving as an…

A: Since the distance between consecutive spouts is 1.5 meters, then the length of each edge of the…

Q: Each propeller of the twin-screw ship develops a full-speed thrust of F = 350 kN. In maneuvering the…

A:

Q: Question 1 Let M. be a compact set. Then. (A) M must be infinite (B) If (F) is a decreasing'…

A: here I used definition and some properties of compact and complete metric space

Q: 10. What is the work done moving a particle from x = 0 to x = 1 m if the force acting on it is F =…

A: Solution

Q: 45. What is the connectivity (size of the smallest separating set) of the graph G? A. 3 B. 4 C. 5 D.…

A: Sol

Q: b) Consider the vectors a = 3i - 2j+7 K, and b = -5i +4j-3k, find 1-a.b 2- Angle between a and b. 3-…

A:

Q: For the following problems, use the method of shells to approximate the volumes of some common…

A:

Q: The population data of the Italy from 2005 to 2010 is given. Find the population in the years of…

A: Lagrange's interpolation formula for n points:…