Bird Pena

11/20/2023 · Primary School

63. Cell Division Let the expected number of cells in a culture that have an \( x \) percent probability of undergoing cell division dur- ing the next hour be denoted by \( n(x) \). a. Explain why \( \int_{20}^{30} n(x) d x \) approximates the total number of cells with a \( 20 \% \) to \( 30 \% \) chance of dividing during the next hour. b. Give an integral representing the number of cells that have less than a \( 60 \% \) chance of dividing during the next hour. c. Let \( n(x)=\sqrt{5 x+1} \) give the expected number of cells (in millions) with \( x \) percent probability of dividing during the next hour. Find the number of cells with a 5 to \( 10 \% \) chance of dividing. 64. Bacterial Growth A population of \( E \). coli bacteria will grow at a rate given by where \( w \) is the weight (in milligrams) after \( t \) hours. Find the change in weight of the population from \( t=0 \) to \( t=3 \). 65. Blood Flow In an example from an earlier chapter, the velocity \( v \) of the blood in a blood vessel was given as \[ v=k\left(R^{2}-r^{2}\right) \text {, } \]