x?y 7. Given f (x,y) : x+y and L(f) = xfx + yfy calculate L2(f) 8. Determine the local extremes for the function f: R3 → R defined through f (x, y, z) = x³ + y² + z² + 12xy + 2z

Q: Use the vote count of the election to determine the plurality winner, and if the winner won a majori...

A:

Q: Theorem 3. If S is a non-empty set of real numbers which is bounded above, then a real number s is t...

A:

Q: Given the following data which generated by the function y = 1/x. %3D X 1 2 4 5 y=f(x) 1 0.5 0.3333 ...

A:

Q: Determine the inverse Laplace transform of the function below. - 5s Se 2 s +8s +41

A:

Q: Solve the following quadratic problem by Wolf's method: Maximize Z = 2x1 + 3x2 - x12 - 4x22 %3D Subj...

A: As per the question, we have to solve the given quadratic optimization problem using the Wolf's meth...

Q: 1. + tan e cose 1. tan e cose

A: In this question, the concept of a trigonometric function is applied. Trigonometric Function The fun...

Q: y(t) =1-y(7)edr

A:

Q: (b) A series of function is given in Table Q2 as: Table Q2 f(x) (389 + e') / log x (753 + e') / log ...

A:

Q: for 0< x<1 for i<x<2 Obtain Fourier series for the function f(x) = T(2-x)

A: Recall this 

Q: Find a basis for the row space of the matrix 2 4 -5 2 3 A = 6 -8 3 -5 -3 -6 -7 -3 -10)

A:

Q: 1 dx 1) Evaluate the integral sinh r

A:

Q: 50 2x + 5 245

A: As per the question we have to find the value of the given finite sum.

Q: An airplane was flying in a speed of 120 km/h with the direction of true bearing 155° for 1.4 hours ...

A: Here given the speed of 120 km/h with the direction of true bearing 155° for 1.4 hours against the w...

Q: Let p, q, and r be the following statements. p: It is snowing. q: Teresa is in the mountains. r: Ter...

A: Validity / invalidity of an argument : An argument is valid if for  all of the premises are true, th...

Q: 1. Show that for all f e L'(R) lim dr = 0. %3!

A: Put the limit delta = 1 in integral function

Q: Prove that F2 + F2 %3D n+1 F2n+2 where F, is the nth Fibe

A: Introduction: Fibonacci numbers are a series of whole numbers that go from 0 through 1, 1, 2, 3, 5, ...

Q: 4. Let, a, = 1, a2 = 2, b, = 0, b2 = 1, for n2 3, an = 2an-1+ bn-1 for n22 b, = bn-1+ an-1 express a...

A: Given- Let a1 = 1, a2 = 2, b1 = 0, b2 = 1 for n ≥ 3,an = 2an-1 + bn-1for n ≥ 2,bn = bn-1 + an-1 To f...

Q: at is the ans

A: Introduction: Integration is a method of bringing separate parts to form a whole. We find a function...

Q: Consider the following 3 vectors. 25 ["] 11 –17 V1 = - 13 V2 and v3 -11 25 Take them pairwise, you w...

A:

Q: List the two key determinants of pump selection.

A: The key determinants used for the pump selection is:

Q: Find the solution of the followin y" + 9y/ + 18y = 0 NOTE: Use t os the indenendent uoriah

A: Introduction: A differential equation is an equation that contains the derivative of an unknown func...

Q: . A beam whose centre of gravity divides it into two portions, a and b. is placed inside a smooth sp...

A:

Q: 4.4-4 Prove that the sum and the product of two lower- (upper-) triangular matrices is lower- (upper...

A: Upper triangular matrix: An upper triangular matrix of order n×n has the form A=aij  where aij=0 for...

Q: 1. Show that for all f e L'(R) lim da = 0.

A:

Q: For the matrix A given below, find a permutation matrix P such that (a) Postmultiplication of A by P...

A:

Q: THE RABBIT HUTCH MYSTERY A farmer keeps rabbits in three large hutches that stand in the row in his ...

A: A farmer keeps rabbits in three large hutches:

Q: Solve the following initial value problem dy y(0) = 1 dx by the Euler Method and Heun's method to es...

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

Q: over the intervall, [-pi,pi] use eulers formula to derive the formal fourier series of the unit impu...

A:

Q: Your state lottery is offering a choice of pay out options with the next Powerball drawing.  Winners...

A:

Q: EVALUATE | cos (bx) dx

A:

Q: Solve the following quadratic problem by Wolf's method: Maximize Z = 2x1 + 3x2 - x1? - 4x22 Subject ...

A: As per the question we are given a quadratic optimization problem, which we have to solve using Wolf...

Q: Let G be a simple graph with the vertex set V = {v1, v2, V3, v4, U5, U6}. Which of the following sta...

A:

Q: Find the general solution of the following differential equation. 1/" + 5y/ + 6y = 0 NOTE: Use c, an...

A: Solution :- The given differential equation is   Step1:-                  y'' + 5y' + 6y = 0 Then, w...

Q: Show that P(10; k1, k2, k3) = 310 here k1, k2, k3 are nonnegative integers ranging over all possibl...

A: Given that,k1, k2, k3 are nonnegative integers ranging overall possible triplessuch that k1+k2+k3=10...

Q: Q3 Consider the following tabulated data for the vapor pressure P (mm Hg) of water as a function of ...

A:

Q: for 0< x<1 for i<x<2 Obtain Fourier series for the function f(x) = T(2-x)

A:

Q: Give an example of two denes not equal X subsets of (R, co) and (z,rcof ). ( Explain your answer ).

A:

Q: Verdy s Tokes Theorem To F=メー2X54k half-ellipsoid * on any eand Z 70

A:

Q: 1. Let, a, = 3, a2 = 4 and for n 2 3, a, = 2an-1+ an-2, express a, in terms of n.

A:

Q: The exchange rate of the U.S. Dollar with respect to the TL is modeled by a differential equation as...

A:

Q: A 4-digit password is randomly generated so that each 4-digit number is equally likely to be generat...

A: Password formation is one of the significant uses of combinatorics. There are many possibilities of ...

Q: 1. Find the order (write in number) for y² d²y dx2 - 3x- dx5 d5y + 4x = 0. Your answer

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

Q: Explosive News (EN) Inc. are regarded as running one of the best specialised news websites. Their sp...

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

Q: Give an example of two denes not equal X subsets of (R,Tcoe) and (Z, .cof ). ( Explain your answer )...

A:

Q: y(t) =1– |(7)e*dt

A:

Q: Use the LU factorization of the coefficient mmatrix to solve the given linear system. 1. + z = 3 2x ...

A:

Q: 20, x22 0 ogramming ion

A:

Q: for 0< x<1 for i< x<2 Obtain Fourier series for the function f(x) = T(2-x)

A:

Q: Write down the answer after converting the polar coordinates (-2, 4π/3) into the Cartesian coordinat...

A:

Q: A=70 Q2 (a) 4x+A Given the function, f(x) = (i) Calculate the first derivative of the function by 2-...

A: Forward difference formula  f'(x)=f(x+h)-f(x)h.......(1) Forward difference formula  f'(x)=f(x)-f(x-...