Evaluate the surface integral f(x,y,z) dS using a parametric description of the surface. 2 f(x,y,z) x 2 where S is the...
Evaluate the surface integral f(x,y,z) dS using a parametric description of the surface. f(xyz) = 4x, where S is the cylinder X + z2-25, 0 ys2 The value of the surface integral is (Type exact answers, using T as needed.) Find the area of the following surface using the given explicit description of the surface. The cone z2 = (x2 +y2) , for Oszs8 Set up the surface integral for the given function over the given surface S as a...
Evaluate the surface integrat S «..z) ds using a parametric description of the surface S f(x,y.z) = x2 +y? where S is the hemisphere x² + y² + z = 4, for z 20 Write a parametric description of the given hemisphere using u = p and v=0. rſu v)=000 where O susandsvs (Type exact answers.) The value of the surface integral is (Type an exact answer.)
Evaluate the surface integral. (x + y + z) ds, S is the parallelogram with parametric equations x = u + v, y = u – v, z = 1 + 2u + v, Osus 6, 0 SV 53. Is
Evaluate the line integral in Stokes Theorem to evaluate the surface integral J J(VxF)-n ds. Assume that n points in an upward direction F (xty,y z,z+x) S is the tilted disk enclosed by r()-(3 cost,4sint,7 cos t Rewrite the surface integral as a line integral. Use increasing limits of integration. dt (Type exact answers, using π as needed.) Find the value of the surface integral. JÍs×F).nds-ロ (Type an exact answer, using π as needed.) Evaluate the line integral in Stokes...
(1 point) (▽ x F) . ds where M is the hemisphere z2 + y2 + z2-25, z > 0, Use Stoke's Theorem to evaluate with the normal in the direction of the positive x direction, and F--(z3,0, y Begin by writing down the "standard" parametrization of aM as a function of the angle 0 (denoted by "t" in your answer) (use "t" for theta). The value of the integral is (1 point) (▽ x F) . ds where M...
Evaluate the surface integral s«w.vz) as where f(x, y, z) = x - y - zand o is the portion of the plane x + y = 1 in the first octant between 2 = 2 and 2 = 3. Enter the exact answer. f(x, y, z) ds = ? Edit 46.9.2) ds =
first picture is all the questions that need to be answered, second is the actual numbers being used 17.6.25-Setup & Solve Evaluate the surface integral s Srixy.z) ds using a parametric description of the surface S f(xy.z) = 4x² + 4y?, where S is the hemisphere x² + y² +z? = 4, for z 20 Write a parametric description of the given hemisphere using u = Q and v = 0. I r(u,v) = (2 sin ucos V.2 sin usin...
Evaluate the surface integral lis(r,y,z) (x, y, z) ds where f(x, y, z) = x + y + z and o is the is the surface of the cube defined by the inequalities 0 < x < 5,0 Sy < 5 and 0 <3 < 5. [Hint: integrate over each face separately.] 1 f(x, y, z) ds =
Evaluate the surface integral. 1 (x + y + z) ds, S is the parallelogram with parametric equations x = u + v, y = u - v, z = 1 + 2 + v, osus 6, Osvs 2.
Evaluate the Surface Integral, double integral F*ds, where F = [(e^x)cos(yz), (x^2)y, (z^2)(e^2x)] and S is a part of the cylinder 4y^2 + z^2 =4 that lies above the xy plane and between x=0 and x=2 with upward orientation (oriented in the direction of the positive z-axis). ASAP PLEASE