7) The world's

population

is

approximated

by P(Q=5.3r"0"'Biiliorl

where

t is

time in

years

since 1995.

How

fast

will the

population

be changing

in 2010?.

Express

your

answer

to

the

nearest

million

per

ycar.

8)

If f(x)=

xln(x+3),

fiud f

//141.

(two

decimal

places)

9)

The formula

SlTlS)nQx-s14

Gives the

stength

of

a certrain

mechanical

system

with

the

specified

dimension

x.

The system

will fail

when

the

rate

of

change

of S with

respect

to x reaches

189r.

Find

the

dimension

x at this

instimt.

Bonus: a) Find

the slope

of

the tangent

line

to the

curve

y'lnqx1=1

at the

point

(e,l)

b) Fhd

dyldx: y-162

6"(5x+1)

j