QUESTION 1

d Assume x and y are functions of t. Evaluate dT for the following. dx 2 3 ': : : y 4x 23, dt 6.x 2,y 6 Evaluate the derivative of each side of the given equation using the chain rule as needed. (Type an equation.) dy Assume x and y are functions of t. Evaluate dt for 3xy - 3x + 4y = - 28, with the dx conditions = -8, X=4, y= - 1. dt dy dt (Type an exact answer in simplified form.)dy Assume x and y are functions of t. Evaluate for 2xey =4 - In 256 + 8In x, with the dt dx conditions dt =4, x = 2, y= 0. dy = dt (Type an exact answer in simplified form.)Suppose the average daily metabolic rate for certain types of animals can be expressed as a function of mass by r= 134.7m.25 , where m is the mass of the animal (in kilograms) and r is the metabolic rate (in kcal per day). dm dr a. If the mass of an animal is changing at a rate of dt find dt dr b. Determine dt for a 140-kg animal that is gaining mass at a rate of 2 kg per day. dm a. If the mass of an animal is changing at a rate of dt find dt dr