Degrees: Pharmacy and Biotechnology
Date: Jan 18, 2021
Question 1 A drug is administered intravenously at a speed of 15 mg/hour. At the same time, the body methabolizes the drug at a rate of 80% of the amount in the body per hour.
Degrees: Pharmacy and Biotechnology
Date: Dic 16, 2019
Question 1 A lagoon contaminated with nitrates contains 1000 tons of nitrates dissolved in 6 millions of cubic meters of water. To decontaminate the lagoon, we start to introduce pure water into the lagoon at a rate of 100000 cubic meters per day, and we take out the same amount of contaminated water.
Degrees: Pharmacy and Biotechnology
Date: Dic 17, 2018
Question 1 A organism metabolizes alcohol at a rate half of the present amount per minute. If initially there is no alcohol and we start to introduce alcohol in the organism at a constant rate of 2 ml/min, how much alcohol will there be in the organism after 5 minutes?
Degrees: Pharmacy and Biotechnology
Date: Jan 19, 2018
Question 1 Find an equation of the tangent plane to the surface $S: e^xy-zy^2+\frac{x^4}{z}=-1$ at the point $P=(0,1,2)$. Find the tangent line to the curve obtained by the intersection of $S$ and the plane $z=2$ at the given point $P$.
Degrees: Pharmacy and Biotechnology
Date: Nov 6, 2017
Question 1 Adenoma is a benign tumor, which grows usually in spherical shape. Suppose the rate of growth of the radius of a certain adenoma is equal to half the size of the radius per second; compute the rate of growth of the volume of the tumor when the radius is 5mm.
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?
Degrees: Pharmacy and Biotechnology
Date: Nov 7, 2016
Question 1 The amount $x$ and $y$ in mg of two compounds in a certain chemical reaction are related by the following equation: $$ \log(\sqrt{x^2+y^2}) = y.
Geogebra GeoGebra is an open source interactive software intended for learning Mathematics in secondary and higher education. Below we present you a Calculus manual with Geogebra, focused, mainly, in the analytical resolution of calculus problems in one and several variables with the CAS view (symbolic calculus) of Geogegra.