11. Find the area of the portion of the surface f(x, y) 1-x2+ y that lies above the triangular region with vertices (1, 0, 0), (0, -1, 0) and (0, 1, 0). 11. Find the area of the portion of the surface f(x, y) 1-x2+ y that lies above the triangular region with vertices (1, 0, 0), (0, -1, 0) and (0, 1, 0).
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...
2 3/2 16 Find the area of the surface in the first octant cut from the cylinder y= 32 by the planes x = 4 and y = 3 The surface area is (Type an exact answer, using radicals as needed.)
6. Find the area of the portion of the surface x.))4 that lies above the region R-((r, y): O S x 6, 0 Sy 6-x), Round your answer to two decimal places. a. 0.67 b.3.87 c. 30.30 d. 10.64 e. 30.84 # 100-х.-)" in the first 7. Find the area of the surface for the portion of the paraboloid octant. a T401401- b. %(1,001 v 1,001-3) c. (101 TOI-3 60 d. 1,003 1,003-3) 101101-1 8. Use an iterated integral to...
1. Calculate the surface area of = Vx2 + y2 that lies between the plane (a) that part of the cone yx and the cylinder y = x2 (b) that part of the surface 1 + 3x +2y2 that lies above the triangle with vertices (0,0), (0,1) and (2,1) z= (c) the helicoid (spiral ramp) defined by r(u, v)= u cos vi +usin vj-+ vk, 0u 1,0 < v < T 1. Calculate the surface area of = Vx2 +...
1 point) Find the surface area of the part of the sphere x2 + y2 + z2-1 that lies above the cone z = x2+y2 Surface Area (1 point) Find the surface area of the part of the plane 2a 4y+z 1 that lies inside the cylinder 2y21. Surface Area2pi 1 point) Find the surface area of the part of the sphere x2 + y2 + z2-1 that lies above the cone z = x2+y2 Surface Area (1 point) Find...
JI Find the volume of the region bounded above by the surface z = 6 sinxcos y and below by the rectangle R: 0sxszosys V=D (Simplify your answer. Type an exact answer, using radicals as needed. Type your answer in factored form. Use integers or fractions for any numbers in the expression)
For 2x+y+2z=16, find the normal vector and use the following formula to work out the surface area. Note: f is given as 2x+y+2z=16. The original question is Find the surface area of the part of the plane 2x+y+2z = 16 bounded bythesurfacesx=0,y=0andx2 +y2 =64. Pls use the above formula!! Thanks!
Find the volume of the following solids. The base of a solid is the region bounded by the graphs of y = 3x, y=6, and x = 0. The cross-sections perpendicular to the x-axis are a. rectangles of height 10. b. rectangles of perimeter 32. a. V=Type an exact answer, using radicals as needed) b. V= (Type an exact answer, using radicals as needed)
Find the total area of the shaded region The total area of the shaded region is (Simplify your answer.) AY 18 @ 14 12 10 y-9 Y 36 Find the area of the triangle with (1, -1, -2), (-2,0, -1), and (0, -2,1) as vertices. The area of the triangle is square units. (Type an exact answer, using radicals as needed.)