Use differentials to approximate the increase in the surface area of a soap bubble when its radius increases from 4 inches to 4113 inches. square inches The side of a cube is measured as 11.4 centimeters with a possible error of :l:.i]2 centimeter. Give an estimate for the possible error in the value of the volume of the cube. cubic centimeters Poiseuille's Law for blood flow says that the volume owing through an artery:r is proportional to the fourth power ofthe radius, that is. V = kR'i. Ev how much must the radius be increased in order to increase the blood ow by 40%? deR 2 "ll: Find the linear approximation to x] 2 1 l 5111(33} at m 2 f2. y : 3+ Use linear approximation. i.e. the tangent line, to approximate 19 1.1 as follows: Let t} 2 {3/5. The equation of the tangent line to x} at z = 1 can be written in the form 3; 2 mm + b where m is: and where b is: Using this. we nd our approximation for a? 1.1 is Find the linean'zation approximation 13(3) of the function x] 2 $4 $2 1 at o. = 2. Lfs] =