W is the volume defined by x2 + y2 + z? < 1 and y s x. Find the flux of F= (x3 - 3x)i + (y + xy)j + ( z³ - xz)k out of W Select one: a. Non of them b. -3 T C. -4T d. е. LO

Q: (b) ||ū× w|| (u • w) (c) (d) (r+s) ux v + w s(v+w• w) × (rv)

A:

Q: 1. = (xy, y,z²+y) , f(x,y,z) = xy . Find Curl(F) 2. Div curl(F) 3,. Div (fF) 4. Divgrad(f)

A:

Q: State and prove the first fundamental the orem of calculus and its importance?

A:

Q: Let u, v, w E R^3 and r,s E R. For each of the following expressions, indicate the nature of the…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Let f(z) = u(x, y)+iv(x,y) be entire such that u(x, y) 4v(x, y). Show that f is constant. %3D

A: Here we use CRE equation to prove this

Q: Express F = BC'+ AB + ACD in canonical form (both SoM and POM).

A: A B C D BC' V ACD F 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0…

Q: 2b) Let P(x) = P2x² + P1x + po and ¶(x) = q2x² + q1ª + q0 polynomials from R=ls2•. Let be given the…

A:

Q: 1. Use Newton Method to approximate the x-coordinates of the point to 4 decimal places of the…

A: Hi! As per norms, we will be answering only the first two question.  If you need an answer to the…

Q: the ear nt. is lie he in ns ne Each statement in Exercises 33-38 is either true (in all cases) or…

A:

Q: 3 Which form should you use to determine a particular solution of the following differential…

A:

Q: Vector Calculus Given, A = a zi – 23² ²j+ æy} sÎn¢ divAat the point (1, –1, 1) -

A: Here, the given vector field is: A=x2zi-2y3z2j+xy2zk

Q: Linear Algebra: Explain the term "Vector basis" giving example to support your answer.

A:

Q: Find the the vecarsare area of AAB C where A(-いて) B(2,1,-1), c(!,-,2)

A:

Q: Assumptions of Nonparametric techniques?

A: The objective is to state the assumptions of Non-parametric techniques.

Q: Current Attempt in Progress Find the scalar triple product u · (v x w). u-(-8,4,4), v- (5,1, - 4), w…

A: Given: u=-8,4,4, v=5,1,-4, w=-7,4,3 To find: u·(v×w)

Q: 3 then Fdt is If F=(3t^2+4t)i+ (2t-5) j+4t^3 k 42i-j+80k I O 42i + 2j-80k .II O 421-21+80k.I O

A:

Q: 6 Evaluate JVx7 – 7x5 + 17 Vx1ºdx -

A: To solve the given integral.

Q: Degree of Field Extension [Q(i),Q]

A:

Q: Show that f(x) = 3x - 5 is a bijection.

A:

Q: Prove that

A: We have to prove given result:

Q: 9) (Section 9.4) Find the magnitude of vector u = -60i+11j

A: Given,   u = -60i+11jMagnitude of vector ; u=-602 + 112u = 3600+121  = 3721 =61

Q: Differenciate and simplify where its possible

A: We have to differentiate the following -  ddx1x2+x+13

Q: 36. flx)= x²+x-3 a) Find the oquatun of the Gecunt line through (-1,->) and (1,2), 4) Find the Mean…

A:

Q: number theory

A: If you want any specific question to be answered, then please submit that question only or specify…

Q: B^T *A^T=C A = B = 12 -21| 13 22 14 -11 23 -18 11 21 13 25 17 -24 22 15 -10 -23

A:

Q: Determikne the values of c for which the vectors 2+2t+1: 2-t:2+t+ c2 linearly independent?

A: Given :S={t2+2t+1, 2-t, t2+t+c2}

Q: rcises 2.5 0 1 1 2 1 1. Let A = , B = 3 4 C = 0 1 2 , and D = 1 0]. Calculate each 2 3 of the…

A:

Q: Find the area of the triangle and its type "А(1,-2, -2), В(-2,1,-2), С(-2,-2,1)

A: Given- A1,-2,-2, B-2,1,-2 and C-2,-2,1 To Find- The area of the triangle and find the type of…

Q: Show how to use Hausman Test B₁ B₂ under Ho Consistent, Efficient Consistent, less Efficient under…

A: The Hausman test is  used to decide whether the estimate of an unknown parameter is consistent or…