Find the moment of inertia of the area bounded by the curve y^2 = 4x, the line y = 4, the y-axis on the first quadrant with respect to the x-axis. * O 41.2 O 21.2 O 51.2 O 31.2
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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.Find the moment of inertia of the area bounded by the curve x^2=8y, the line x=4 and the x-axis on the first quadrant with respect to y-axis.A coat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of edge 28 cm. Use differentials to find the approximate amount of paint (in cm3) required for the job, correct to the nearest cubic centimeter. Hint: The volume of a cube of edge s is V = s3.
- Find the area between the curve y = 9 − (x/2)^2 and the line y = 6 − x.3) Use differentials to estimate the relative error in the lateral surface area of a right circular cylinder if the diameter is measured to be 10 in. with a possible error of 0.01 in. and the height is equal to its diameter.Use differentials to estimate the amount of metal (in cm3) in a closed cylindrical can that is 18 cm high and 10 cm in diameter if the metal in the top and the bottom is 0.4 cm thick and the metal in the sides is 0.05 cm thick. (Round your answer to two decimal places.)
- 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.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 in computing the surface area of the cube.A rectangular shaped region is changing with time and increasing in the x direction at the rate of 2 units/sec and decreasing in the y direction at the rate of 0.5 units/sec. How does the diagonal change when x=4 and y=6? Is the diagonal increasing or decreasing at this moment?
- Find the area between the two curves on [2,3]. y = exy = (1/x)Find the volume of the solid that results when the region in the first quadrant bounded by the curve x = 9y3 and line x = 13.3 is revolved about the 2x-axis. Express your answer in 3 decimal places.Use differentials to approximate the possible propagated error in computing the volume of the cube.