2. Calculate the Jacobian of the coordinate change (x, y, z) to cylindrical coordinates (r, 0, z).

Q: Your friends correctly calculate the gradient vector for f(x, y)=x²+y at the point (2,-3) as…

A:

Q: Find a vector n normal to the plane with the equation 5x - 5y – z = 10. n = (5,

A: Given equation of plane is 5x-5y-z=-10.want to find:Normal vector n to given plane.

Q: Express in cylindrical components: (a) the vector from C(3, 2, -7) to D(-1, -4, 2); (b) a unit…

A:

Q: Find the positive value for which the vector r(t) (2t, 9t?, 10t2 – 2) is perpendicular to r'(t). -

A:

Q: Set up cylindrical coordinates (e, Ó, y) with the Cartesian y-axis as the axis of cylindrical symme-…

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: Evaluate 1+ x° + y°dS, where S is the helicoid with vector equation т(и, и) — 0 <u < 3, 0 < v< T

A:

Q: cimals to at least one decimal place,

A:

Q: Convert the point (x, y, z) = (2, 1, — 4) to cylindrical coordinates. Give answers either as…

A: