1.
S is the region formed by x=y,x+y-3=0 and x=0.please find the
double integral of ∫∫(2x+2y-1)dxdy
2.
The weekly cost to produce x widgets is given by
C(x)=75000+100x-0.03x^2+0.000004x^3,
0<=x<=10000 and the demand function for the widgets is given by
p(x)=200-0.005x,0<=x<=10000 Assume that the company sells exascly what
they protuce.
(a)What are the marginal cost,marginal revenue and marginal profit when 2500
widgets are sold?
(b)What are the marginal cost,marginal revenue and marginal profit when 7500
widgets are sold?
4.
使用Lagrange求點(1.2.4)至平面2x-3y+z=4之最短距離
2 √4-y^2 √4-x^2-y^2
5.∫ ∫ ∫ z√x^2+y^2+z^2 dzdxdy
0 0 0
6.Find dy/dx if x^y-y^x=0
麻煩各位了 感恩
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