Use Pappus's theorem for surface area and the fact that the surface area of a sphere...
Find the surface area of each figure. Complete parts (a) through (e) below. cm The surface area of the cube is 06 Cm (Simplify your answer. Typical creacl answer using radicals as needed. Tyox anckach answer using as needed D. Right circular cylinder 1. CIEL The surface area of the right circular cylinder is em (Simplity your answer. Type an exact answer. Using rau ca s as needed. Type an exact answer, using as needed.) c. Right regular prisiti O...
Use the Divergence Theorem to compute the net outward flux of the field F = (3x.y. -22) across the surface S, where is the sphere {x,y,z) x+yz? = 15) The net outward flux across the sphere is (Type an exact answer, using x as needed)
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...
WILL RATE IMMEDIATELY is the sphere (oxy.z): x² + y +z - 6) Use the Divergence Theorem to compute the net outward flux of the field F. (-3x, 2y.72) across the surface S, where The net outward flux across the sphere is (Type an exact answer, using as needed.)
SHOW AU WORK! 3 MHE SURFACE AREA OF A SPHERE IS S = 4012 IF THE RHOIUS OF THE SPHERE IS MGASUNED 70 se 3.95 cm AND IT IS ACIVALY 405cm a) Flvo ennOR W RADIUS 4 = b) FIND RE, c) Fuo Per d) FWD EXACT Ennek W SURFACE AROM AS = e) Fus pornol. Ennor W ANFACE ANGA ds= f) FIND RES USING d) RES g) FIND Pts h) FIND PROPOGADOW FARK W Show all work The surface...
Find the area of the surface generated by revolving the curve y= 0sxs6, about the x-axis The area of the surface is (Type an exact answer, using t as needed.) n Enter your answer in the answer box Find the area of the surface generated by revolving the curve y= 0sxs6, about the x-axis The area of the surface is (Type an exact answer, using t as needed.) n Enter your answer in the answer box
1 The centroid of a surface is defined by Mox ds loyds Voz ds = y= area of o area of o area of o Find the centroid of the portion of the sphere x² + y2 + z? = 4 above the plane z = 1. Enter the exact answers. - 1 2 y II 3 =
Find the area of the surface generated when the given curve is revolved about the given axis. y 8x, for 33sxs 65; about the x-axis The surface area is square units. (Type an exact answer, using a as needed.) Find the area of the surface generated when the given curve is revolved about the given axis. y 8x, for 33sxs 65; about the x-axis The surface area is square units. (Type an exact answer, using a as needed.)
Parallel-Axis Theorem for an Area 2 of 8 Learning Goal: I, Iy = ft To be able to use the parallel-axis theorem to calculate the moment of inertia for an area. The parallel-axis theorem can be used to find an area's Submit axis that passes through the centroid and whose moment of inertia is known. If ar and y' are the axes that pass through an area's centroid, the parallel-axis theorem for the moment about the x axis, moment about...
Find the area of the surface x2 - 6y – 2z = 0 that lies above the triangle bounded by the lines x= 3, y=0, and y= 3x. The surface area is (Type an exact answer, using radicals as needed.)