Suppose that f(@) is a function with f(155) = 64 and f'(155) = 7. Estimate f(154). f(154) =Application - Differentials: Problem 3 (1 point) Lusty: [x2 +5)? _ Find the differential :13; when :1: = 4 and d2? = 0.1l l Find the differential dy when :r: = 4 and dm = 0.01l l Application - Differentials: Problem 4 (1 point) Let y = V6 - x. Find the differential dy when x = 1 and da = 0.2 Find the differential dy when x = 1 and da = 0.04Application - Differentials: Problem 5 (1 point) Let y = ex/3. Find the differential dy when x = 4 and dx = 0.1 Find the differential dy when x = 4 and dax = 0.01Application - Differentials: Problem 6 (1 point) Let y = tan(2x + 2). Find the differential dy when x = 2 and dx = 0.4 Find the differential dy when x = 2 and da = 0.8Application - Differentials: Problem 7 (1 point) Use differentials to estimate the amount of paint needed to apply a coat of paint .05 cm thick to a hemispherical dome with diameter 50 m. m 3