Lab 14.6 - M253: Problem 10 (1 point)A bison is charging across the plain one morning. His path takes him to location (9:, y] at time t: where :L' and y are functions of t. and north is in the direction of increastng y. The temperature is always colder farther north As time passes: the sun rises in the sky: sending out more heat' and a cold front blows in from the east. At time t the air temperature H nearthe bison is given by H = f(:1: 9,13) The chain rule expresses the derivative dH/dt as a sum of three terms dH 7 fth afay E'awat ayat+at' Identif},r the term that gives the contribution to the change in temperature experienced by the bison that is due to 5f 352 A. 6:: 0t ? v 1. The coming cold front ? v 2. The bison's change in latitude B 6f 03; I y at ? v 3. The rising sun Lab 14.6 - M253: Problem 11 (1 point) The radius of a right circuiar cone is increasing at a rate of 3 inches per second and its height is decreasing at a rate of 4 inches per second. At what rate is the volume of the cone changing when the radius is 20 inches and the height is 30 inches? cubic inches per secnnd Lab 14.6 - M253: Problem 12 (1 point) In a simple electric crrcuit, Ohm's law states that V : IR where V is the voltage in volts' | is the current in amperes and R is the resistance in ohms, Assume that' as the battery wears out' the voltage decreases at 001 volts per second and' as the resistor heats no the resistance is rncreasing at O 02 ohms per second When the resistance is 300 ohms and the current is D 01 amperes' at what rate is the current changrng'r' amoeres per second Lab 14.6 - M253: Problem 13 (1 point) Air pressure decreases at a rate of 1 .T5 pascals per kilometer in the eastward direction. In addition the air pressure is decreasing at a constant rate With respect to tirne everywhere A ship sailing eastward at 14 krhrhour past an island takes barometer readings and records a pressure drop of 50 pascals in 2 hours Estimate the time rate of change of air pressure on the Island. {A pascal Is a unit of air pressure.) IJ Time rate of change of air pressure = [include_ur1rt] Lab 14.6 - M253: Problem 7 2 {1 point} Suppose z : 1! sin y: a! = 252 + It? 1:; 2 4st. A. Use the chain rule to find i and $ as functions at K: 1;. s and t. E. Find the numerical values of g and % when [51 t} 2 [3+ 2}.