Pharmacy exam 2016-01-10
Degrees: Pharmacy and Biotechnology
Date: Jan 10, 2017
Question 1
The rate of growth of certain bacteria population is the square root of the number of bacteria in the population. How much will the population have increased after 1 hour from the beginning of the growth? How long will it take until the population is four times the population at the beginning?
The number of bacteria has increased
The number of bacteria is four times the population at the beginning at time
Question 2
The temperature of a chemical process depends on the amounts
Question 3
An ecological model explains the number of individuals in a population through the function
Question 4
The position of a moving object in space is given by the function
- Compute the velocity and acceleration vectors at time
.
Remark: velocity is the variation of space with respect to time, and acceleration is the variation of velocity with respect to time. - Compute an equation of the plane normal to the trajectory at time
.
and . and .- Normal plane to the trajectory at time
: .