Compute the volume of the solid whose base is the square with corners at (0,0),(0,1),(1,0), (1,1)...
Compute the volume of the solid whose base is the unit circle x2 + y2 = 1 and whose vertical cross sections are squares. Enter your answer as a decimal to three places.
Compute the volume of the solid whose base is the area bounded by the z-axis and the curve y = 1- 24 between x = -1 and a 1 and whose vertical cross sections are rectangles with height 2. Enter your answer as a decimal to three places.
Tin Att Compute the volume of the solid whose base is the area bounded by the z-axis and the curve y =1-04 between x = -1 and <= 1 and whose vertical cross sections are rectangles with height 22. Enter your answer as a decimal to three places. 10 Se
(1 point) Find the volume of the solid whose base is the region in the first quadrant bounded by y=x?, y=1, and the y-axis and whose cross-sections perpendicular to the x axis are squares. Volume =
the base of a solid is the triangle in the xy-plane
with vertices (0,0), (2,0), (0,3). The cross-sections of the solid
perpendicular to the x-axis are squares with sides in the xy-plane.
Find the volume of this solid.
The base of a sold is the triangle in the type with rices (0,01.(2.0),(0,3) The cross sections of the son parastareas are roures with sides in the xy-plane Find the volume of this solid (HINT: Do not include unnecessary spaces or decimal...
(10 pts) Evaluate where C is the boundary of the square with vertices (0,0), (1,0),(0,1) and (1, 1) oriented clockwise.
(10 pts) Evaluate where C is the boundary of the square with vertices (0,0), (1,0),(0,1) and (1, 1) oriented clockwise.
1. Three charges are placed at the corners of a square of side 20 cm with 3.0 μC at (0,0), 3.0 μC at (0,1) , and - 3.0 μC at (1,0). Find the magnitude and direction of the electric field at the fourth corner (1,1). step by step please C:
4. Stoke's Theorem: Consider a vector field F = (1,1)+(1,0) + (0,0). tyle +rin the unit square bordered by (0,0) + (0,1) ► (a) What is the curl of the vector field F? [2 points) (b) What is the path integral of the vector field around the unit square? [5 points) (c) Show your answers to the previous parts are consistent with Stoke's Theorem. HINT: consider the right-hand rule. (3 points]
Problem 2
(1) Find the area enclosed by the curves y 2 and y-4z-z2 (2) Find the volume of the solid whose base is the triangular region with vertices(0, 0), (2, 0), and (0,1). Cross-sections perpendicular to the y-axis semicircles. are (3) Find the volume of the solid by rotating the region bounded by y=1-z2 and y-0 about the r-axis. 2-z2. Find the volume (4) Let R be the region bounded by y--x2 and y of the solid obtained by...
Use the general slicing method to find the volume of the following solid. The solid with a semicircular base of radius 14 whose cross sections perpendicular to the base and parallel to the diameter are squares The volume of the solid is cubic units. (Type an exact answer.)