所屬科目：研究所、轉學考(插大)-微積分
(a) Find. (5%)
(b) Given that sinc(x) , find the value of ssss(0) according to the limit theorem. (5%)
(a) Find . (5%)
(b) Show that ax = ax ln(a). (5%)
(a) find ; (5%)
(b)cos(2x) sin(4x +π/4)dx (5%)
6. Evaluatedt. (10%)
7. Evaluateydx, where x = 2t − 1 and y = t2 + 2. (10%)
8. Evaluate dA over the region ?? in the first quadrant bounded by the graphs of y = x2, x = 0, y = 4 (see Fig.1). (10%)
9. Evaluate dxdy reversing the order of integration. (Hint: Draw the integration area first.) (10%)
10. is the position vector of a moving particle. Find the speed at the time, . (10%)
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. (5%)
, find the value of ssss(0) according to the limit theorem. (5%)
. (5%)
ax = ax ln(a). (5%)
; (5%)
cos(2x) sin(4x +π/4)dx (5%)
dt. (10%)
ydx, where x = 2t − 1 and y = t2 + 2. (10%)
dA over the region ?? in the first quadrant bounded by the graphs of y = x2, x = 0, y = 4 (see Fig.1). (10%)
is the position vector of a moving particle. Find the speed at the time,
. (10%)