所屬科目：研究所、轉學考(插大)-微積分
(1)
(2)
(3) Find of the function by implicit differentiation.
(4)
(5)
(6) If , use the Fundamental Theorem of Calculus to find F'(x)=?
(7) Find .
(8) Find the derivative of F(t)=.
(9) Find if .
(10) Use the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations y=,y=0,x=1,x=5 about the y-axis.
(11)
(12)
(13) Indefinite integral:=?
(14) Definite integral:=?
(15)
(16)
(17) Consider the function ln(1-x). If the solution of the power series representation for ln(1-x) on (-1,1) is written as ,=?
(18) Find the equation of the tangent plane to the surface of z=x2+4y2 at the point (-2, 1, 8).
(19) Let =?
(20) Assume that the function value of at A(x, y) has a relative maximum. A(x, y)=?
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of the function 
by implicit differentiation.
, use the Fundamental Theorem of Calculus to find F'(x)=?
.
.
if 
.
,y=0,x=1,x=5 about the y-axis.
=?
=?
,
=?
=?
at A(x, y) has a relative maximum. A(x, y)=?