Q1:

A dose, D, of a drug causes a temperature change, T, in a patient. For a positive constant C, T is given by TU?) = D3(% g) . (a) What is the rate of change of temperature change with respect to dose? Use upper case letters. = (b) For what doses does the temperature change increase? Dlex A voltage V (volts) across a resistance R (ohms) generates a current I (amps) according to I = - (a) Suppose voltage is constant, but resistance is changing with time. Which of the following could be used to find the rate at which the current changes with time? dI V. dv dt R2 dt V.dR dt R dt dI V dR dR R dt di V dR R2 dt dI dR R 2 (b) If a constant voltage of 12 volts is put across a resistance that is decreasing at a rate of 0.4 ohms per second when the resistance is 5 ohms, at what rate is the current changing? Round your answer to 3 decimal places. amps per sec (c) Is the current in part (b) increasing or decreasing? Increasing DecreasingThe circulation time of a mammal (the average time it takes for all the blood in the body to circulate once and return to the heart) is proportional to the fourth root of the body mass of the mammal. Circulation time, T, is measured in seconds and body mass, m, is measured in kilograms. (a) If the proportionality constant is 17.6, write a formula for the circulation time of a mammal. Use a lower case m. T(m) = (l3) Theroodyr mass of a growing child is 39 kg and is increasing at a rate of 0.3 kg/month. What is the rate of change of the circulation time of the child? Round your answer to 3 decimal places. ' sec/month