The edge of a cube was found to be 30 cm with a possible error in measurement of.1 cm. Use differentials to estimate the percentage error (to the nearest hundredth) in computing (a) the volume of the cube and (b) the surface area of the cube. (a) (b)
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- Determine dimension x to 3 decimal places.Can the average rate of change of a function be constant?A painting contractor charges Php 120 per sq.m. for painting the four walls and ceiling of a room. If the dimension of the ceiling are measured to be 4, and 5m, the height of the room is measured to be 3m, and these measurements are correct to 0.5cm, find approximately, by using total differential, the greatest error in estimating the cost of the job from theses measurements.
- The edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. Use differentials to estimate the percentage error (to the nearest hundredth) in computing (a) the volume of the cube and (b) the surface area of the cube.One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °, with a possible error of + -1 ° (a) Use differentials to estimate the error in computing thelength of the hypotenuse. (b) What is the percentage error?The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then estimated to be 1000 cubic cm. Use differentials to estimate the maxiumum error on this estimate of the volume.
- the circumference of a sphere was measured to be 100 mm with a possible error of 0.4 cm. use the differentials to estimate the maximum error in the calculated surface area. What is the relative error in the surface area? what is the percentage error in the surface area?Each side of an equilateral triangle measures 3 cm, with a possible error of 0.1 cm. Using differentials, estimate the relative error in the area of the triangle.The 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.
- A conical glass, 10cm high and 8cm in diameter at the top is filled with an exquisite wine to a depth of 9cm. If a 3cm side (edge) ice cube is added to the cup, use the total differential to decide the validity of the statement that the cup spills.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.Use differentials to estimate (or approximate) the amount of tin in a closed tin box with height 6cm, width 11cm, and length 10cm, if the tin is 0.03 cm thick. Include units.