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Help me with Cal please.

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#1
huonghoa

huonghoa

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1. Find the volume o f a cap o f a sphere with radius r and height H.

2. Find the global ma xium and the global minimum values o f f(x,y) = 1+4x-5y closed triangular region with vertices (0,0), (2,0), (0,3).

3. Find the area o f a region bounded by củves 4x+y^2, x=y.

Thank you very much, please forgive me i f I (po st) at the wrong forum, and please tell me where to po st i f you know any helping forum.

HH

#2
canh_dieu

canh_dieu

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1. This is the solid obtained by rotating the region bounded by the curves http://dientuvietnam...metex.cgi?x=R-H (or http://dientuvietnam...mimetex.cgi?x=H since I'm not sure what the "height" means), about the http://dientuvietnam...tex.cgi?x-axis.

2. Evaluate the function http://dientuvietnam...n/mimetex.cgi?f at these vertices then pick up the smallest and the biggest ones.

3. The upper curve is http://dientuvietnam...mimetex.cgi?y=x, the lower one is http://dientuvietnam...imetex.cgi?x=-4 and http://dientuvietnam...imetex.cgi?x=0. Then apply the formula.
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