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Question

# 21. Find the limit of the sequence if it converges, otherwise indicate divergence.22. Find the volume of

the solid generated by revolving the region bounded by the given lines and curves about the x-axis.

23. Evaluate the integral by using a substitution prior to integration by parts.

24. Find the center of mass of a thin plate of constant density covering the given region.

Find the limit of the sequence if it converges; otherwise indicate divergence. 2 — 1n + 3n4
21)a =— Z
n 5n4 _ 2n3 + 2
3 3 2 . Find the volume of the solid generated by revolving the region bounded by the given lines and curves about thl 22)y= «’2x+3,y =0,=x 0,x=12 A) 471 B) 3T“ C) 27: D) 1! Evaluate the integral by using a substitution prior to integration by parts. %«/6x+5 dx 2
A) —e’\16x+5[\/6x+5—6]+C B) (6x+5)e~16X+5 +C
0% WNW—me o) 2:6?&quot; e~léx+5 +c Find the center of mass of a thin plate of constant density covering the given region.
24) The region bounded by y = x2 and y = 3 u\ A)x= 0,y= 25—7- B)x=0,y=% C)x= 0,y=— D)x=0,y=5

( 21) at so
2 - 11 +3/4
dividy run derby
( B )
5n4 -2 13+2
4 3 + 3
0- 0+3
5 - 2 +
-
5 - 0+0
S
( 2 2)
A )
10
1+3 x
( 23) Let VEX+ 5 = t, 6x+5 = 12 6dd = 2t d/
= 1 ex t - Set ] = 1, let F - et ) IC
=...

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