(b) Find the mass of the surface S, where S is given by r(u, v) = (2uv, u²-v², u²+v²), (u, v) E D with D = {(u, v) E R² u²+v² <1}, if the density is x². :

Q: this answe is wrong

A:

Q: Three vectors (PQ), (PR), (QR) have been written in matrix form as shown below: 2 -17 PQ1 1 PR = -2…

A:

Q: Q3 Check the symmetry and graph the curve in polar form if 0 = 0 to at increments /6(30°) use a…

A:

Q: Let f(z) = cosh z. (1) Find the image of S:= {z = x+iye C: x<0,0 < y < } under f.

A: First calculate image the boundary line under the map. Then choose a point other that boundary from…

Q: Solve the initial value problem y"+y=f(t), y(0)= y'(0) = 0, (21 if 0 1

A:

Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 1 -1 2 3 12+1 2 0…

A:

Q: Find the determonant of the matrix A 1 2 1 -21 -1 -2 -1 4 2 1 3 2 L-2 1 2 -31

A:

Q: We call g(x1, x₂) = ax² + 2bx1x2 + cx a quadratic form, a, b, c are constants. Suppose X1 X = try to…

A:

Q: Q1: Use Adam-Bashforth two-step method (two iterations) to solve the initial value problem and find…

A:

Q: Which line is the same as [x, y] = [1, -8]++[4, −3]? a) [x, y]=[2, 4]++[4, -3] b) [x, y]= [1,…

A:

Q: Find the mass of the surface S, where S' is given by r(u, v) = (2uv, u²-v², u²+v²), (u, v) E D with…

A: Mass of a surface A given by parametric function r(u,v) and density ρ can be given by  M=∫∫Aru×rvρ…

Q: Verify that the given function u is harmonic. u(x, y) = 8xy3 - 8x³y + x The function u(x, y) has the…

A:

Q: Solve for this equation, show your solution for the exact DE. (Non-anonymous question) 3x(xy - 2)dx…

A:

Q: Find the general solution of the given system. dx = 4x + y dt dy = -2x + 2y dt (x(t), y(t)) =

A:

Q: The height y (in feet) of a ball thrown by a child is 1 y 2²+ 6x + 5 16 where is the horizontal…

A:

Q: Is PA (QV R) logically equivalent to (P^Q) v (PAR)? O yes no

A:

Q: 3. Success! You have saved Mr. Henville from the burning tower! Now you must get him safely back to…

A:

Q: Q2) Determine the traction vector, considering the following input data: 30 15 12 o 15 24 18 n=…

A:

Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

A:

Q: Prove that there are no integer solutions to the equation x2 = 4y + 3

A: Given equation:- x²=4y+3  We have to prove that the given equation don't satisfy integer pair of x…

Q: 4.Solve the pair of simultaneous equations dx =xy-t, x(0)=1 dt dy = x+t, y(0) = 0 dt From t=0 to…

A: You don't mention any method by which we can solve, so i use simple Iteration method Euler's Method

Q: Solve the linear programming problem. Maximize P = 20x + 75y Subject to x+8y ≤ 16 x, y 20 What is…

A: For B part we need co ordinate of points where P is maximum .

Q: Prove that eie ei(0+2K) ,where k = 0,±1, +2,...., = D

A:

Q: Bob likes to drink his coffee hot, warmer than 100 degrees Fahrenheit. His coffee starts off at 180…

A: Here is a printing mistake in the answer

Q: create a polynomial p that has the desired characteristics. You may leave the polynomial in factored…

A: Consider a polynomial px with solution px=0 are, x=±3, x=-2, and x=4 It is known to us that if x=c…

Q: 4. Let f(z) = cosh z. (3) Show that f: S→ f(S) is ono-to-one.

A:

Q: Let f(x): e² sin³ (4) x6 sec(x − 2) a. Solve for f'(x) without using quotient rule or product rule.…

A: As per the question we are given the function f(x) and we have to find its derivative f'(x)  without…

Q: Consider the function G below: G d e Z Select all statements below that are true: ORng(G) = (a, b,…

A:

Q: Nx - My xM - YN has an integrating factor of the form a(zh Find an integrating factor and solve the…

A:

Q: Solve the equation using Gauss Seidel's method until 5 iterations. 5x₁ − x₂ + 2x3 = 12 3x₁ + 8x₂ -…

A: We solve this by Gauss Seidel iteration method. To avoid confusion regarding iterations we…

Q: 1 Evaluate Inverse Matrix A-¹ = -1 -2 1 2 2 1 1 3

A:

Q: 26 24 22 20- 18- 16- 14 12 10 8 6- 4 2 2 Estimate the instantaneous rate of change at x = 2

A: Instantaneous rate of change

Q: Problem 2. Let U = {a+bx+ca²+dr³ € P3 (R): a-b+d=0}, 2(i) Find a finite subset S of P3 (R) such that…

A:

Q: Use De Morgan's laws to determine whether the two statements are equivalent. q→ (p^~r), q→ (~pvr)…

A:

Q: Total claims denied: $10,000 Total claims submitted: $100,000 Time period: 3 months   What's the…

A: Let us solve for denial rate in the next step.

Q: Name: Questions 3) 5) 7) 57 Describing Rotations Describe the rotations. Shape A is the original…

A: Given, Shape  A. We have to describe the rotation of shape A to get position of shape B  in same…

Q: c. Use the graph to find the Right-endpoint Riemann sum for f(z) on the interval [0, 8] with the…

A:

Q: 6 X Find the volume of the solid generated by revolving about the x-axis the region under the curve…

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

Q: 3. With the transformation matrix (A) given by (4.20), explicitly verify that 3 Σaijaik = δjk, i=1…

A:

Q: Consider h(x, y, z) = cos (ry) + e + In (zz) at the point P mine the following: (a) the unit vector…

A:

Q: 3Q: If z₁ = 1.5 cisand z₂ = 4 cis(-7) find and express it in the rectangular form.

A:

Q: QY/ Solve the following ODE by power Series:- y" + 3y² - 5y = 0 6

A:

Q: Problem 7. The base of a 50-foot ladder is being pulled away from a wall at a rate of 10 feet per…

A: Let us solve the given problem in the next steps.

Q: Use Euler's method with step size 0.1 to estimate y(0.4), where y() is the solution of the problem ₁…

A: Use Euler's method with step size 0.1 to estimate (0.4), where y(x) is the solution of the problem…

Q: Find the area of the region that bounded by r=1- cos(0)

A:

Q: 5. Find the exact solutions: x²-3x+6=0 6. Given f(x)=x-5 and g(x) = -2x²+ 4, find the composite…

A:

Q: Maximize: z=5x+y subject to: x-ys3 5x + 3y ≤ 75 x20, y20

A: Given,           Maximise: z=5x+y    subject to:                      x-y≤3…

Q: Let L(y) = (x-1)y" - xy + y a) with the observation that y, zx is a solution of L(4)=0 on (1,000),…

A:

Q: Determine if the vector 2 b = 3 5 can be written as a linear combination of the vectors V₁ = 1 and…

A:

Q: Q2. Determine if the integral 1 [Inxdx converges or diverges.

A: