W The body mass index (BMI) for an adult human is given by the function B = - where w is the weight measured in h 2 kilograms and h is the height measured in meters. (The BMI for units of pounds and inches is B = 703w/h².) Answe parts (a)-(d). a. Find the rate of change of the BMI with respect to weight at a constant height. The rate of change of the BMI with respect to weight at a constant height is

100 The brain mass of a human fetus during a particular trimester can be accurately estimated from the circumference of the head by m(c) = and c is the circumference (in centimeters) of the head. a. Estimate the brain mass of a fetus that has a head circumference of 20 cm. b. Find the rate of change of the brain mass for a fetus that has a head circumference of 20 cm and interpret your result. a. The brain mass of a fetus that has a head circumference of 20 cm is about (Type an integer or decimal rounded to two decimal places as needed.) C3 g. 1500 c 9 where m(c) is the mass of the brain (in grams)

e An airplane flying on a straight flight path will be exactly above a radar tracking station, which is 5,000 km below the path. When the distance of the plane from the station is 40,000 km, this distance decreases at the rate of 8,000 km/hr. At what rate is the plane flying at that instance? novi f. A truck travelling southwards at 40 kph and a car traveling eastward at a rate of 60 kph are headed for an intersection. At what rate are the vehicles approaching each other when the truck is 1 km from the intersection while the car is 2 km from the intersection? g. Water is being poured at the rate of 5 m³/sec into an inverted conical tank of radius 10 m and altitude 20 m. How fast is the water level rising when the water level is at 8 m? (Note: Here you will be using the concepts of similar triangles in order to rewrite the radius in terms of the height.) itoun bont h. A particle is moving along the curve with equation y = 3-x. At the point (2, 1), it was observed that the x-coordinate…

Given that height of the water in a tank is increasing at a constant rate of 3.7 cm/min, use the rate of change to determine the missing values in the table. Time (in min) Height of water (in cm 2.8   3.9 23.03 5.5     43.01