3. Show that the action of C4(2) operator gives Ca(2) (X1, Y1, Z1) = (-yı,X1, Z1)

Q: Now, we can see that the function F(x, y, z) increasing in x, y and z. Then Bx + ax + - 1 (x - To)…

A: For the solution follow the next step.

Q: 1. Let f(x, y) = In(x - y) then at the point (4,1), fryis equal to: %3D -1/9 O 1/7 1/9

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: [1 2 Define a linear operator T: R³ →R³ by T(u) = Au, where A = |2 li 3 2 31 3. 3 21 a. Find T(e1),…

A:

Q: 1) Let f(z,y)- . Compute DS(z,y) where u- (4-9)

A:

Q: 1. Use the Chain Rule to find dy in terms of r. dr а у — (и—2)3 and и- 2x +1 b. y = Jū and u= 5z2 –…

A:

Q: The expanded form of the differential operator D(xD-1) is A XD²+1 B XD² C XD²-1 (D) XD²-D

A:

Q: The linearization at a = 0 to /3 + 9x is A + Bx. Compute A and B. A = B =

A: Given: f(x)=3+9x

Q: The functions y1, Y2, . .. , Yn are linearly independent, if and only if W (y1, 32, ..., Yn)(to) #0…

A: If two functions are linearly dependent then the Wronskian is zero for every value of t.

Q: Find the Wronskian of a given set {yı, y2} of solutions of 7. (1 x2)y"-2xy' (a 1)y0, _

A: Consider the given equation.

Q: please solve this linear algebra problem.

A:

Q: Consider thế iñifial a. 2y"- 30y" + 150y' – 234y = 0, b. y"+ 6ay' + (9a² + 1)y = 0, y(0) = -3, y(0)…

A:

Q: 2x+ 3y-z =1 4x + y-3z = 11 3x-2y +5z = 21 | %3D

A: Solution:

Q: 3) Determine and sketch the convolution of the following two signals both analytically and graphical…

A:

Q: 1-6 Use an appropriate form of the chain rule to find dz/dt. 2. z = In(2x² + y); x = /i, y = 12/3…

A: Given: z=ln(2x2+y);  x=t , y=t2/3To find:dzdt=??

Q: In each of the following problems, find the Wronskian W(y1,y2)(x) of the given list of functions and…

A: By using determinant and derivative of functions we solve the given problem.

Q: The linearization at a = 0 to v4 + 4x is A + Bx. Compute A and B. A = B = %3D II

A:

Q: 25. Suppose that T: R2 → R² is a linear operator such that T. -1 | T. -1 Is it possible to determine…

A:

Q: Consider the D-operator P(D) = mD² + 2kD +¢, where m and c are positive. If -c/m < k< 0, then

A:

Q: The expanded form of the differential operator D(xD -1) is XD² – 1 A В xD² (c) xD² +1 C D xD² – D

A: To find the expanded form of differential operator, D(xD-1)

Q: The functions y1, Y2, . .. , Yn are linearly independent, if and only if W (y1, Y2, ..., Yn)(to) # 0…

A: We can use the Wronskian test to check the functions are linearly independent or dependent.

Q: 8. Prove that the differential operator M: C² [a,b] → C[a,b] defined by d²u du Mu= 2+3u dx is a…

A:

Q: Let f(z) = kz5 + az3 + cz.  Find u(x,y) if z = 3.8 + 6.8i , a = 6, c = 9, and k = 3. Round off your…

A:

Q: Consider the following problem max f (x) =Σxjn( i=1 subject to x, =1 i=1 2(i-1)x,= (n- 1)d i=1 *, E…

A: note : As per our company guidelines we are supposed to answer ?️only one question. Kindly repost…

Q: 2/3 The integral S(x+2y)eu-)drdy can be written and evaluated after using the transformation u =…

A:

Q: Find the value of the constant 6 for which J is continuous at * = -1 and determin f(-1). z - 5x bx -…

A: The given function is: f(x)=x2-5x        x&lt;-1bx3-7x≥-1

Q: (b) Show that the Linear guen Operators. are not with T(f)= Lf6), f()+1].

A:

Q: 22) A- Find the distance between the line (y=x+3) and center of circle (x²+y²-2x=0). B- Using…

A:

Q: 15. Evaluate the line integral J. (3x²y* - 6xy ]dx + (4x²y³ - 3x°) dv, where C is any path from…

A: My=Nx means F is conservative vector field

Q: The linear operator T: R2 --> R2  defined by T (x; y) = (4x + 5y; 2x + y) is it diagonalizable?

A:

Q: 3. If Rw (T) is the autocorrelation of a white noise w(t) and S e-217| Rw(t)dt = 1, find Sw(f).

A:

Q: Find (T3 • T, o T1)-1 if Ti 1(х, у, 2) %3D (х - у, — у, х+2) T."(х, у, 2) %3D (х -у+z, 0, 3x) T(х,…

A: This question is related to linear transformation . See 2nd step.

Q: 5. Conclude from this that if b x c = 0 then b is a scalar multiple of c or vice versa (b and e are…

A:

Q: = S, (x²(t) + x²(t))dt %3D x(0) = 1, x(1) = free %3D

A:

Q: Example 3.9. For x = 1,2 and y = 1,2, let the joint PMF of X and Y be defined by ry fx.y(x, y) = 15…

A:

Q: 2.7 Given that the spacial components of motion, x = x(X, (), are: x₁ = X₁ + X₂ (e' - K), X₂X₁…

A: Solution : x1=X1+X2(et-K)      …(1) x2=X2+X1(e-t-K)   …(2) x3=X3    …(3) Solving above equations,…

Q: s the linear operator T : R3 --> R3 defined by T (x, y, z) = (2x - 3y + 7z, 5y + z, -z)…

A:

Q: Compute the weak solution to the problem (a(x)u')' – u = x _for x € (0, 1), u(0) = u(1) = 0 , 1 with…

A: For the solution follow the next steps.

Q: 3.18 Adapt the proof of concavity of the log-determinant function in §3.1.5 to show the follow- ing.…

A:

Q: If A = 3.4xyâ + (1.7x² – 6.8y)âŷ, the circulation of A around the closed path shown below is

A: In this question, we have to find the circulation of vector A along the given closed field in fig.…

Q: The functions y1, Y2, · . . , Yn are linearly independent, if and only if W (y1, 22, *. Yn) (to) # 0…

A: Consider the following differential equation, y''+pxy'+qxy=0

Q: Consider the following NLP problem: f(æ) = -x+ 2x1 – 122 – T2 +1 max s.t. I2 > 1. Determine if x =…

A:

Q: Consider the following operator A : L²[0, 1] → L'[0, 1] A(f)(x) = (f(x))² + f(x). If this a linear…

A: Given, the operator  A : L20, 1→L10, 1 defind by                               A(f)(x)=(f(x))2+f(x)…

Q: 4) Find Yp, using D-operator, where Yp (e). %3D (D+1) (D-2)

A:

Q: 3 Discuss the stability of equilibrium points of the following ODE: I' = r* – y°, y = -x. = -r.

A:

Q: . Let A- ( 7) B-(: :) and B = %3D 3 For what values of t is 2A+B invertible?

A: The inverse of a matrix A is defined as the matrix A-1, that satisfies the condition AA-1=A-1A=I. If…

Q: Let z = √7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2.

A:

Q: Solve for z using cramer's rule.  2x-y-z=4 4x+y+z=2 3y+z=2

A:

Q: min ||y – Hx|3 + A ||x||3 x = (H'H + AI)-1H'y (18) In reference to (18), why is HTH+ AI with A > 0…

A: Given - minx y - Hx22 + λx22 ⇒ x = HTH + λI-1HTy           18 To find - In reference to (18), why is…

Q: (a) z = 1– In y (b) 22 = 1. Show the traces as well.

A: Given a) z=1-ln(y) b) x29+y24+z2=1