Question
1. A fungal colony grows on aat surface starting with a single spore. The shape of the colony edgeis circular with the initial site of
1. A fungal colony grows on aat surface starting with a single spore. The shape of the colony edgeis circular with the initial site of the spore at the centre of the circle.Suppose the radius of the colony increases at a constant rate 19.1 units per unittime.At what rate does the area covered by the colony change when the radius is 44.6 units?
a.12498.2609
b.238716.7829
c.5352.3942
d.60.0044
e.2292.1688
f.2676.1971
2. One version of the Folium of Descartes is given by
x^3+y^3=3.6xy
for what value(s) of x is the slope of the tangent line vertical?
a.-0.2778y^2
b.0.2778y
c.0.8333y^2
d.There is no place where the Folium has a vertical tangent
e.3.6000y^2
f.-0.2778y
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