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Calculus Quiz 3-1

1. (25%) Determine where the given function 1s increasing and
decreasing, and where its graph is concave up and concave down. Find
the relative extrema and inflection points, and sketeh the 戰raph of the

 

function.   9  5
x+

2. (25%) Find the absolute maximum and absolute minimum (if any) 9f
the given function on the specified interval._f(x) = 二 守0

3. (25%) Arectangle is inscribed in aright triangle, as shown in the
accompanying figure. Ifthe triangle has sides oflength 5, 12, and 13,
what are the dimensions ofthe inscribed rectangle of greatest area?

 

 

 

 

 

4. (25%) Compute the elasticity of demand for the glven demand
function D(p) and determine whether the demand is elastie, inelastic
or unit elasticity at the indicated price p.D(p) =一1.3p+ 10;p ==4

微積分