7 questions

shadow A street light is at the top of a 11 ft tall pole. A woman 5 ft tall walks away from the pole with a speed of 8 fu/sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole? Round to two decimal places. ft sec Let y = tan(2x + 5). Find, to 4 decimal places, the differential dy when x = 3 and dx = 0.2 Find, to 4 decimal places, the differential dy when a = 3 and dx = 0.4 Let y = 2x2. Find the change in y, i.e., Ay , when x = 1 and Ax = 0.3 Find the differential dy when x = 1 and dx = 0.3 Lety = sin(5x). If Ax = 0.4 at x = 0, use linear approximation to estimate Ay to one decimal place. Ay ~ = Find the percentage error to one decimal place. error = Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.09 cm thick to a hemispherical dome with a diameter of 30 meters. Round to the nearest whole cm'. Things to watch out for: a hemisphere is *half* of a sphere the radius is *half* of the diameter units, cm versus m cm3 The function f(z) = 2x3 - 33x2 + 108x - 1 has two critical numbers. The smaller one is x = and the larger one is x = Question Help: Video Written Furm- Find the critical numbers of the function f(x) = 4x5 - 25x4 - 20x3 - 2 and classify them. Round your answers to three decimal places. is a Select an answer is a Select an answer is a Select an