Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

Q: Fxx is correct but Fxy is not 0.

A: The given function is f(x,y)=x4-5xy3+6y5 We have to find the fxx(x,y) and fxy(x,y)

Q: If y = C1 + C2x +e2*(C3cosx + C4sinx), then the roots are

A:

Q: Find A x B x C where A = {2, 5}., B = {13, 17}, C = {0} . O (2,13,0), (2, 17,0), (5, 13, 0), (5, 17,…

A:

Q: Show that x2 - 4 is a factor of x* – 5x3 + 2x2 + 20x – 24.

A:

Q: Find A. C. d³y dx³ given y = 48(x²-3) (x² + 3)4 24x(x²-3) (x² + 3)4 2 x²-3 B. D. -48x(x²+3) (x²-3)4…

A:

Q: The characteristic of Z6 x Z, is 18.

A:

Q: 3xy If z determine 2x - 3y

A:

Q: j) x(x+2)+

A:

Q: In(x) dr. x² + 9'

A: Sol

Q: [2x+3y-z-5 4x+6y-2z x-4y+3z 5 10 C.

A: To find the values of x ,y and z satisfying all the equations

Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

Q: Find the LU factorization of A = A = 1 1 -3 0 9 3 -17 5 2

A:

Q: Are the polynomials x? + 1,x? – 1, 2x – 1 linearly independent in P2?

A:

Q: Factor completely. qs - 8s + qf - 8f qs - 8s + qf - 8f =

A: We have to complete factor

Q: The set of polynomials {1, x² + 3x“, 2x² – 7x4} is a linearly independent set in P4.

A: NOTE: Due to time limit answer of 1 is given here, for other please ask in a different question.…

Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: Let P0. (x) denote the quadratic polynomial that interpolates the data {(xo, yo), (x1, y1), (x2,…

A:

Q: 6x + 17y df f f(x,y) then i : 6x 17y ду 204x (6а — 17у)? - 204x - (бх — 17у)? 204x (6x + 17y)² 204x…

A:

Q: Prove that (p – q)× (p+q)= 2(p×q)

A:

Q: A. Convert the following quadratic functions y ax? + bx + c in the form y = a(x - h) + k 1. y = x² +…

A:

Q: B Sin3X 6653X + X3

A:

Q: Find x. A (2x – 15)* (2x 15)° - C

A:

Q: Find m2T (2x) R S T -

A: Solve for the Angle T

Q: Find a polynomial that interpolates (−1,0), (0, 2), (1, 1), (2, 2) using the Newton form.

A: x-1012f(x) 0212We have to find a polynomial using the newton form.

Q: . Let f(x) = x2 + x + 3, g(x) = 5x + 3 and h(x) = 2x2 – 4x + 1. Find the following: a. f(4x) b.…

A:

Q: If x² +2y+3z? = x² + 2y² + 3z² = x² + 2y3 +3z3 =2, and x₂x3 +2y₂y3 +3z₂z3 = x3X₁ + 2y3V₁ +3Z3Z1 =…

A:

Q: If Q(x) = 7x³ + x and R(x) = 6x – 7x², find the following: %3D a) (Q – R)(x) =|| %3D b) (Q * R)(x)…

A: Given: Qx=7x3+x, Rx=6x-7x2 For finding Q-Rx,we substract Rx from Qx

Q: Let à = (-4,-5, 4) and 6 = (2, 4, 0). a Find a x b. хъ.

A:

Q: Let P (x) = 2x - 15a + az?+ bx + c, where a, %3D Given that (x - 5) is a factor of P (r), find a…

A: It is given that,  P(x) = 2x4 - 15x3 + ax2 + bx + c It is given that, (x - 5) is a factor of P(x).

Q: If u(x) = 4x² — 7 and v(x) = x³ – 9, find u(x) · v(x). . u(x) · v(x) =

A:

Q: 13. Which polynomial has a degree of 2?

A: To find the polynomial of degree 2.

Q: what does y(x)=____

A: Consider the equation