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Solved in 2 steps with 2 images
- Determine dimension x to 3 decimal places.Calculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. xy² = 18 at point (2,3)use differentials to estimate the amount of metal in a cylindrical can that is 12cm high and 8cm in diameter if the metal on the top and bottom is 0.09cm thick and the metal on the sides is 0.01cm thick.
- A coat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of edge 30 cm. Use differentials to find the approximate amount of paint required for the job, correct to the nearest cubic centimeter.If the radius of a circle increases by 3%, use differentials to approximate the increase in the area of the circleUse linear approximation to approximate to 6 decimal places
- The side of a square was measured to be 10cm with a possible error in measurement of 0.1cm. Use the differential to estimate the maximum possible error in computing area of the square.Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05cm thick to a hemispherical dome with a diameter of 50m.Use differentials to estimate the amount of metal in a closed cylindrical tin can with diameter 8 cm and height 12 cm if the metal on the top and the bottom is 0.2 cm thick and the metal on the sides is 0.1 cm thick.
- Starting from the point (0,4,−2)(0,4,−2) reparametrize the curveThe two legs of a right triangle are measured as 5 m and 12 m with a possible error in measurement of at most 0.2 cm in each. Use differentials to estimate the maximum error in the calculated value of the area of the triangle.please use vogel’s approximation