所屬科目：研究所、轉學考(插大)-微積分
(b)=__(2)__
(c)=__(3)__
(a) Let f(x,y)==__(4)__。
(b) Let g(x) = =__ (5)__
3. Consider a function f : (-π,π)→R deined byIf f is differentiable on (-π,π), then (a, b) = __(6)__
5. Let f(x,y,z)= dt. The linearization of f(x,y,z) at (1.1,0) is L(x,y,z)=__(8)__
(a) dx=__(9)__
(b) Let D be the region enclosed by the curve y = and the x-axis. The volume of the solid obtained by revolving D about the x-axis is (10)
(a)dydx=_________
(b) Let R={(x,y)= __(13)__
(a) The work done by the force feld F(x, y) = j in moving a particle along a triangular path with vertices (0,0), (1,0), (2,2) counter-clockwisely is__ (14)__
(b) Let S be part of the cone z = that lies bellow the plane :x + z = 1. Then xdS=__(15)__
(c) Let D be a closed surface in R3, oriented outward. The maximum Aux of the vector field among all possible choices of D is __(16)__.
10. The greatest value of p such that the series converges conditionally is p=__(17)__.
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=__(1)__
=__(2)__
=__(3)__
=__(4)__。
=__ (5)__
If f is differentiable on (-π,π), then (a, b) = __(6)__
dt. The linearization of f(x,y,z) at (1.1,0) is L(x,y,z)=__(8)__
dx=__(9)__
and the x-axis. The volume of the solid obtained by revolving D about the x-axis is (10)
dydx=_________
= __(13)__
j in moving a particle along a triangular path with vertices (0,0), (1,0), (2,2) counter-clockwisely is__ (14)__
that lies bellow the plane :x + z = 1. Then 
xdS=__(15)__
among all possible choices of D is __(16)__.
converges conditionally is p=__(17)__.