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BC,CA,AB respectively, such that AE:EC=1:3, DC:DB=2:1, BF:FA=3:2
What is the area of (Triangle) ◇HIG?
(i) γ(t)=4/5cos t, 1-sint,(-3)/5cos t
(ii) γ(t)=(t, cosht)
(iii) γ(t)=4/5 (〖cos〗^3t,〖sin〗^3t)
For the astroid in (iii), show that the curvature tends to ∞ as we approach one of the points (±1,0), (0,±1)
From the point D two perpendicular lines DF and DG are drawn to AB and BC
respectively . From the point E two perpendicular lines EH and EI are drawn to
AB and BC respectively . DF=7,DG=8,EI=15, EH=?