Certain chemotherapy dosages depend on a patient's surface area. According to the Mosteller model, S =Vhwwhere h is the patient's height in centimeters, w is60the patient's weight in kilograms, and S is the approximation to the patient's surface area in square meters. Assume that Kim's height is a constant 165 cm, but she islosing weight. If she loses 5 kg per month, how fast is her surface area decreasing at the instant she weighs 79 kg?dSUse implicit differentiation to determinewhen Kim's height is a constant 165 cm.dtdSdwdtdtIf she loses 5 kg per month, Kim's surface area is decreasing byV at the instant she weighs 79 kg.(Round to four decimal places as needed.)

Cértain chemotherapy dosages depend on a patient's surface area. According to the Mosteller model, S = Vhw where h is the patient's height in centimeters, w is 60 the patient's weight in kilograms, and S is the approximation to the patient's surface area in square meters. Assume that Kim's height is a constant 165 cm, but she losing weight. If she loses 5 kg per month, how fast is her surface area decreasing at the instant she weighs 79 kg? dS Use implicit differentiation to determine when Kim's height is a constant 165 cm, dt ds dw dt dt at the instant she weighs 79 kg. If she loses 5 kg per month, Kim's surface area is decreasing by (Round to four decimal places as needed.)