Math Questions? Please help urgently!!!!

Posted on 2014-11-24 11:16:00 in Math by DANIEL

Q 1. Calculate the total mass of a metal tube in the helical shape C(t) = (cos t, sin t, t2) (distance in centimeters) for 0 ? t ? 2? if the mass density is ?(x, y, z) = 7?z g/cm (Round your answer to two decimal places.)

Q 2.  Find the total charge on the curve y = x4/3 for 1 ? x ? 64 (in cm) assuming a charge density of ?(x, y) = x/y (in units of 10?6 C/cm). (Round your answer to two decimal places.)

Q3. Consider the vector field below. Determine whether the line integral around the circle (oriented counterclockwise) is positive, negative, or zero.

Q 4. Calculate the work done by the force field F = (x, y, z)  along the path (cos t, sin t, t) for 0 ? t ? 3?.

Q 5. The figure below shows a square in the vector field F (x, y) = (x, x).

 

Q 6. Calculate the integral of ze2x + y over the surface of the box in the figure below if P = (0, 8, 0), Q = (0, 8, 4), R = (7, 8, 4), and S = (7, 8, 0).

Q 7. Calculate 

x2 + y2 = 4, 0 ? z ? 6.

Q 8. Let S be the portion of the sphere x2 + y2 + z2 = 9, where 1 ? x2 + y2 ? 4 and z ? 0 (see

the figure below). Find a parametrization of S in polar coordinates and use it to compute the

area of S. (Round your answer to three decimal places.)

---

Answer Comment

No Answers Posted Yet.