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- Determine dimension x to 3 decimal places.A coat of paint of thickness 0.07 cm is to be applied uniformly to the faces of a cube of edge 40 cm. Use differentials to find the approximate amount of paint (in cm ^3) required for the job, correct to the nearest cubic centerFind the linearization of ƒ(x) = sqrt(x + 1) + sin x at x = 0. How is it related to the individual linearizations of sqrt(x + 1) and sin x at x = 0?
- what is the maximum value of y=sinx, 0 less than or equal to x less than or equal to 2pie, and occurs at x =?Suppose a force of 40N is required to stretch and hold a spring 0.1m from its equilibrium position. Set up the integral that gives the work done in compressing the spring 0.5m from its equilibrium position. Use decreasing limits of integrationA coat of paint of thickness 0.02 cm is to be applied uniformly to the faces of a cube of edge 21 cm. Use differentials to find the approximate amount of paint required for the job, correct to the nearest cubic centimeter.