Find all homogeneous polynomials of degree 3 in R² 3 p = Ax² + Bx²³y + Cxy² + Dy ³ that are harmonie.

Q: 3. Let d 2 2 and let P(z) = ao + ajz + ... + a4z“, ad # 0 be a polynomial with real coefficients…

A: Please note that I am able to see only one part, namely part (a). So, I can solve only part (a) for…

Q: Use the inner product (p, q) = aobo + azb1 + azb2 to find (p, a), ||P||, |||, and d(p, q) for the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the second Lagrange înterpolation polynomial that in tercepts f(x)= x+xe*+Sinx at points xo=0,…

A: We will first find the values f(0) ,f(1) and f(2) then we find lagranges interpolation polynomial.

Q: A positive integer N is said to be a congruent number if it is the area of a right triangle with…

A: Given : A Positive Integer Is Said To Be Congruent, If It Is The Area Of A Right Triangle With Sides…

Q: Find Tay br Polynomial. for the function fox): Vx + 3. ot degree 3 centered ata=2

A: According to the problem, we have

Q: How to find the answer? I have give u the right answer. The congruence 3x^2+4x-30=0 has • 2 in Z15,…

A:

Q: Use the inner product (p, q) = aobo + a₁b₁ + a₂b₂ to find (p, q), ||p||, ||9||, and d(p, q) for the…

A:

Q: The zeros for Ax) = x-4x-9x + 36x are 1) (0,+3,4) 2) (0,3,4) 3) (0,±3,-4) 4) (0,3,-4)

A: Using method of synthetic division to find factors of f(x).

Q: fj+1 - fj-1 2Ax Assuming a uniform grid spacing of Ax, derive a finite difference approximation to…

A:

Q: The integral 2a12 + 5x° is equal to -dx 3 x5 + x3 +1 (a) -25 + C (2) +2² + 1)* (b) z10 +C (1 + کے +…

A:

Q: Find real numbers x, y and z such that (x + 4)i + (y – 5)j + (z – 1)k = 0

A: To Determine :-  The real numbers x , y and z  such that   x + 4  i +  y -5  j +  z - 1  k =0

Q: 7. Evaluate * (D5 - 3D4 + 8D³ + 16D² - 9D - 13)y = 0 y = (C₁ + C₂x)e¯x + С3ex +C4e²x cos3x + C5e²x…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Evaluate the Cauchy principal value of 2 x 50% -dx 8 x 2 (x² + 1)²

A: We have to find Cauchy Principal Value of the given integral.

Q: Let f(x) = x' + 2x + 4 and g(x) - 3x + 2 in Z,[x]. Then, upon dividing f(x) by glx), we get 7- The…

A: I am solving part7 & part8 as you mentioned.

Q: Find the roots of the following equations, assigning the results to ra, rb, and rc respectively a)…

A:

Q: Use the inner product (p, q) = aobo + a₁b₁ + a₂b₂ to find (p, q), ||pl|, |la||, and d(p, q) for the…

A:

Q: 1. Find an r> 0 such that all zeroes of 24 + 6z²+z+3 are contained in D,(0).

A:

Q: By using Ho (X) = 1 = 1 and HI (X)=2x in Hermit polynomials, calculate the value of Hg (1) ?

A: The Hermite polynomial is a particular set of orthogonal polynomials. According to the definition…

Q: 6/30° + j5 – 3 (а) -1+j+2ej45° (15 – j7)(3+ j2)* (b) - (4 + j6)*(3/70°) means you need to conjugate…

A:

Q: 10 - Which one is the highest order Lagrange polynomial of the grids below? Xị Yi -2 3 1 -1 x2—9х-8…

A: We have to solve given problem:

Q: 2. Let k be a complex number and P(x) = 8x³ − 4kx² + (2k+6)x +3. Find all values of k for which P(x)…

A: Given the polynomial  P(x)=8x3−4kx2+(2k+6)x+3 , we need to determine the value(s) of  k  such that…

Q: 2х1 — бх2 + хз -X1 + 7x2 – x3 х, — Зх, + 2х; = 12 = -8 = 16 X1

A:

Q: Show that the polynomial z5 + 14z + 2 has four zeros in the annulus </2 < 2.

A: Given

Q: Let S,(x) = 2x³ – 3x² + 3x – 4, 0<x < 1, S,(x) = x³ + b,x² + c,x + d,1 sxs 2. Find b,, C1, d, that…

A:

Q: 1. Differentiate. All the asnwer must be brought to their simplest factored form possible AND in…

A:

Q: Prove if X,Z, y > 0 xy (3x +2y – 4z)+ yz(y+3z – 4x)+ xz(x+2z –- 4y)>0 then

A:

Q: if z=x+iy find real x and y such that |z+3|=1-i(z-2)

A:

Q: Sketch the bode plots for the complex conjugate Zeros in a quadratic factor for the under damped…

A:

Q: 5. Let f be the polynomial f(z) = z° + z5 – 8z3 + 2z + 1. Find the number of zeros of f in the…

A:

Q: Find curl (2z i + 3x j + 5y k). url(2z i + 3x j + 5y k) = ( i )i + ( )j + ( 3 )k

A:

Q: Find all the roots of z4 + 1= 0 and use them to show that z4 +1=(z² – /2z +1)(z² + v2z + 1) -

A: