cet 1-R be funchion suchtheab fox)= x2 hat fis R-integrable provet andfetermine the Vile of

Q: Prove that the parallels through to the origin to the binormals of the helix     r=…

A:

Q: Let F = (x^3 − 2yz, tan^−1(y^2 + z), −z + 1). a) Find div F b) Determine if F is conservative

A: The given function is

Q: Find div F and curl F if F(x, y, z) = x³i - 10j+yzk. div F= curl F=

A:

Q: Line segment AB is a diameter of the x² +y² + z² - 2z + 8y = 9. Find point B if A = (0, у, 0).

A: To find the point B if Coordinates  of A are given for the sphere.

Q: Let C be the upper half of the circle of radius 3 centered at (0, 0). Let f (x, y) be the square of…

A:

Q: Find the area of part of sphere x² + y? + z² = 100 that lies inside x2 + y? = 10x %3D %3D

A: This is a problem of surface integral.

Q: What is the total length of the curve of intersection of the surfaces x2 + y2 + z2 = 4 and y2 + 2z2…

A:

Q: Find div F and curl F if F(x, y, z)=xi - 10j+yzk. div F= curl F=

A:

Q: A solid lies inside the sphere x^2 + y^2 + z^2 = 6z and outside the cone z=sqrt(x^2+y^2). Write a…

A: Given : Inside the sphere : x2+y2+z2=6z Outside the cone : z=x2+y2

Q: Let fog- X-1 when-x+- Féndalle of fwthah cail makefis continulous at x-l-

A: For the given function we have to find the value of f(1) such that it make the function continous at…

Q: If N is a sphere of radius R that is centered around the origin. Use appropriate functions and…

A: Simplify the integral:  ∫Ωr→r3∇→r4-R4r5+7r3+2dτ=∫Ωrr3r^r^ddrr4-R4r5+7r3+2r2sinθdrdθdϕ…

Q: Above xy plane

A:

Q: Find the Values of Constunts a, boc that maximum Value of divectional direchive. of T= any+Lyg+cg,at…

A:

Q: the f17)= ez function Show whether Ana lytic equationg is using Cauchy- Riemann

A: Let z=x+iy, where x and y are real numbers. The function fz=ux,y+ivx,y, where u and v are…

Q: 1. Calculate the closed-surface integral A. ds if A = x ux + y uy and the surface is that of the…

A:

Q: z is a complex variable z=x+iyShow that f(z)=((z^2)+1)/((z^2)-3z+2) is continuous for all z outside…

A: The problem concerns the continuity of a rational function over an open set.

Q: Find the Felative Maximum vasve of Fx,x) = x*- y, Subuicct to the Construint X-Y=24.

A: The given function is as follows. fx,y=x2-7y2 the given constraint is as follows. x-y=24y=x-24 The…

Q: Find the surface area of the portion of the half ball with radius a which cuts off by the cylinder…

A: The equation of a ball with radius a is x2+y2+z2=a2. The surface area of the function z=fx,y over…

Q: Theorem. (Distributivity: HAV (BAC) = (A v B) ^ (A V C) HA A (B VC) = (A AB) V (A VC) V over ^ and ^…

A: In this solution we will prove the distributive of ∨ over ∧ and distributive of ∧ over ∨. The given…

Q: enclosed

A:

Q: Which surface below is an elliptic paraboloid? O x^2 + y^2/4 - z^2 = 1 O z = -sqrt(x^2 + y^2) z =…

A:

Q: Find div and curl if (x, y, z) = 8y"z' – 10°z° – 3ay div curl

A: Since there is no vector in the given function implies,

Q: Find div F and curl F if F(x, y, z) = xªi – 6j + yzk. div F= curl F=

A: To find  and  if .

Q: Find div F and curl F if F(x, y, z) = xzºi + 6y²x²j + 6z²yk. div F= curl F=

A:

Q: Q) Evaluate. the integral below x²4ux (7x-35-x²5x²)(xzux+u)

A:

Q: let AABC be a triangle S^2. Let the dual point C'ES^2 of C be defined by the following three…

A: Given: △ABC be a triangle in S2 (the two-dimensional sphere). △ABC is a non-degenerate triangle. The…