Pharmacy exam 2018-01-19
Degrees: Pharmacy and Biotechnology
Date: Jan 19, 2018
Question 1
- Find an equation of the tangent plane to the surface
at the point . - Find the tangent line to the curve obtained by the intersection of
and the plane at the given point .
- Tangent plane:
. - Tangent line:
or .
Question 2
An organism metabolizes (eliminates) alcohol at a rate of three times the amount of alcohol present in the organism per hour. If the organism does not have alcohol at initial time and it starts to get alcohol at a constant rate of 12 cl per hour; how much alcohol will be in the organism after 5 hours? What will be the maximum amount of alcohol in the organism? When will that maximum amount be achieved?
Differential equation:
Solution:
The maximum amount of alcohol will be 4 cl and it will be achieved at
Question 3
Three alleles (alternative versions of a gene)
where
Question 4
Three substances interact in a chemical process in quantities
Assume