Department

MathematicsCourse Code

MATA32H3Professor

AllStudy Guide

FinalThis

**preview**shows pages 1-2. to view the full**7 pages of the document.**1.

According to the given information

For

11

0

0

32

3|

ln3 ln3

x

xdx = =

∫

Therefore C is correct.

Answer: C

2.

According to the given information

For

22

4*2

( 3)

du t

dt t

= − −

Therefore D is correct.

Answer: D

3.

According to the given information

For

5

1000*1.02 1104=

,then

Therefore B is correct.

Answer: B

4.

For

33

2 22

00

4 (6 2 )(6 ) 4 (6 ) (6 )t ttdt ttdtt+ += + +

∫∫

Therefore E is correct.

Answer: E

5.

For

32

' 64 120yxx=−+

and

2

" 192 240y xx=−+

then

Let y”>0

Therefore D is correct.

Answer: D

6.

For

2

2

2

'

2 *' 6

y xy

y xy y y

−

++ =

and x=4 , y=2

Only pages 1-2 are available for preview. Some parts have been intentionally blurred.

Therefore C is correct.

Answer: C

7.

For

() 2ln()fx xxx= +

and f’(x)=2ln(x)+2+1

Therefore C is correct.

Answer: C

8.

Let (p*q)’(q)=0

Therefore B is correct.

Answer: B

9.

For

5

1.04(1 ) 1.24x+=

Therefore B is correct.

Answer: B

10.

For

405

*5qqq

α

= +

,so

Let

405

5qq

=

Therefore D is correct.

Answer: D

11.

For (ii),(iii) is correct

Therefore C is correct.

Answer: C

1.(a)

for

2 2 23

14

( 4 4) 4 4+

23

xx x xx

dx e e x x dx e x xe e C= + + = ++ −

∫∫

x2

( e +2x)

Therefore the answer is

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