How to compute for the differential volume of each coordinate system and its phase area?
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- Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.what is the total differential for:The length and width of a rectangle are measured with errors of at most 3% and 5%, respectively. Use differentials to approximate the maximum percentage error in the calculated area.
- The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use differentials to estimate the maximum possible error, relative error, and percentage error in comuting (a) the volume of the cube and (b) the surface area of the cube.Find the total differential at a specified pointThe edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use differentials to estimate the possible error in computing the volume of the cube.
- The radius of a circular disk is given by 18cm. with maximum error in measurement of 0.1cm. Use differential to calculate the maximum error in calculated area of the disk. What is the error relative to the area?A cubical box has interior measurement of exactly 3 meters long along each edge. If the material used for the sides, the top, and bottom of a box are all 0.005 meter thick, use differential to approximate the volume of the material used in constructing the box.the radius of a sphere was measured to be 23 cm with at most possible error of 0.5 cm use differential to estimate the maximum error, relative error and percentage error in the calculated volume.
- The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch. Use differentials to approximate the possible propagated error and percent error in computing the volume of the cube. Show all workA tin can has a circular base of radius 2 inches and height of 6 inches. If the thickness of its walls is 0.01 inches, use differentials to estimate the volume of material it is made of. (Include the sides, top and bottom in your estimation).The radius and height of a right circular cone are measured with errors of at most 1% and 4%, respectively. Use differentials to approximate the maximum percentage error in the calculated volume.