This document contains an overview with all the known exam question for the course mathemathics 1 for the bachelor in biomedical sciences at the Ugent. From 2020 until 2019, each time both exam periods are entailed.
a) wat is het beeld van deze functie?
b) even of oneven functie?
c) is dit een periodieke functie? Indien ja, geef de primitieve periode
d) geef de inverse functie
2) y(t) = 6 punten
a) limiet x → + oneindig
b) bepaal A als je weet dat bij het maximum y(t)=8
c) Als A=10, bereken bepaalde integraal, bovengrens: + oneindig, ondergrens: 0
3) 2 punten
Xn = Yn+1 + aZn+1
Yn = Xn+1 + Yn+1
Zn = Yn+1 + Zn+1
a) bepaal a opdat deze vergelijking oneindig veel evenwichtspunten heeft
b) bepaal deze evenwichtspunten
4) 4 punten
a) geef de algemene oplossing
b) geef de particuliere oplossing voor y(0)=a
5) 5 punten
dA(t)/dt = k1A(t) - k2B(t)
dB(t)dt = -k1 A(t) + k2B(t)
a) verklaar adhv de differentiaalvergelijking dat de som van de concentraties constant
blijft
b) stel k1=1 en k2=0,5
i) geef de particuliere oplossing voor A(0)=1 en B(0)=5 en de limiet naar +oneindig van B/A
ii) geef de eigenvectorrechten
iii) teken de particuliere oplossing op de tekening
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