Let z be the complex number 2 + 3i lying in the complex plane.
a. what is the conjugate of z? explain how it is related geometricaly to z.
b. write down the complex number that is the reflection of z acros the vertical axis. explain how you
determined your answer.
let mm be the line through the origin of slope 1
2 in the complex plane.
c. write down a complex number, of modulus 1 that lies on mm in the first quadrant in rectangular
form.
d. what is the modulus of
e. explain the relationship betwen and z. first, use the properties of modulus to answer this
question, and then give an explanation involving transformations.
f. when asked,
"what is the argument of 1

z? "
paul gave the answer arctan
− arctan
which he then computed to two decimal places.
provide a geometric explanation that yields paul’s answer.

1.5%

step-by-step explanation:

this story was prepared by jim

mccullaugh in los angeles and

al stewart in new york.

new york the colossal success of "top gun" appears to have dramatically altered madison avenue's

perception of corporate sponsorship

of home video projects.

the paramount home video re- lease, featuring a 60- second diet

pepsi spot, was by no means the

first prerecorded video to carry an advertiser's plug, but it was the

first major theatrical release to do so. in the aftermath of the title's

success, paramount is widely ex- pected to ink a similar deal for

"crocodile dundee" or "star trek

iv" or both.

corporate america's new attraccds push british

recording sales

to 19% gain

london fueled by the compact

disk boom, the value of u.k. manu- facturer shipments of recordings

rose 19% in the 12 -month period ended march 1987, according to the

british phonographic industry.

total value of u.k. shipments for

the period was $755 million for all

configurations. (all value figures

are based on an exchange rate of

$1.68 to the pound sterling.)

cd sales totaled 10.7 million units

worth $121.3 million- compared

with 3.7 million units worth $39.5

million in the prior 12 months -and

accounted for two -thirds of the

overall gain in trade value. at present growth rates, says the bpi, cd

sales for calendar 1987 will reach 20

(continued on page 79)

step-by-step explanation:

jeff jeff

step-by-step explanation:

answer: the sun

explanation:

water cycle describes the evaporation of water from earth's surface, formation of clouds and precipitation water back onto the surface of earth. seventy percent of the earth is covered with water in the form of seas and oceans. the heat of the sun causes the evaporation of water from the surface of the ocean. the water vapors rise and condense to form water droplets. the collection of these water droplets form clouds which rain down again.

the evaporation of the oceans surface water as part of the water cycle is caused by the sun