1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ostrovityanka [42]
2 years ago
7

2. David determines that 3 sqrt 2 cis(7pi/4) = -3+3i. When he considers the graphical representation of these numbers, he knows

he made an error. Clearly explain in complete sentences what David observed, and where David made his mistake. State the correct rectangular equivalence of 3 sqrt 2 cis(7pi/4).

Mathematics
1 answer:
fiasKO [112]2 years ago
5 0

The correct rectangular equivalence of 3sqrt(2)·cis(7pi/4 ) is:

3sqrt(2)·cos( 7pi/4 ) + i·sqrt(2)·sin( 7pi/4 )  =  3 - 3i.

<h3>Where did David go wrong?</h3>

David mistakenly interchanged the Sin function and the Cos function when he was calculating the problem.

Hence the correct rectangular equivalence is:

3sqrt(2)·cos( 7pi/4 ) + i·sqrt(2)·sin( 7pi/4 )  =  3 - 3i.

<h3>What is rectangular equivalence?</h3>

An equation is rectangular in form when it is comprised of Variables like X and Y and can be represented on a Cartesian Plane.

Learn more about rectangular equivalence at:
brainly.com/question/27813225
#SPJ1



You might be interested in
Suppose that you are to make a rectangular box with a square base from two different materials. The material for the top and fou
saw5 [17]

Answer:

height = 14.5 ft

width = length = 3.2 ft

Step-by-step explanation:

Let the side of the square base is a and the height of the box is h.

The material required to make the box is equal to the total surface area of the box.

Area of base = a²

Cost of square base is $ 2 per ft²

So, the cost of making base = 2a²

Area of four walls + area of top = 2 (a² + ah + ah) + a² =  3a² + 2ah

Cost of making walls and the top is $ 1 per ft²

So, the cost of making walls and the top = 1 x ( 3a² + 2ah)

Total cost of making the box = 2a² + 3a² + 2ah = 5a² + 2ah

According to the question

144 = 5a² + 2ah

h = \frac{144-5a^{2}}{2a}     .... (1)

The volume of the box is V = length x width x height

V = a x a x h

V = 72 a - 2.5 a³     from equation (1)

Differentiate both sides with respect to a.

dV/da = 72 - 7.5 a²

Put, it equal to zero for maxima and minima

7.5 a² = 72

a = 3.2 ft

Put in equation (1)

h = \frac{144-5\times 3.2\times 3.2}{2\times 3.2}

h = 14.5 ft

So, the dimensions of the box are

height = 14.5 ft

width = length = 3.2 ft

6 0
3 years ago
What is 1/6÷7/8 as a fraction in lowest terms
Brrunno [24]

Answer:

the answer is 5 1/4

Step-by-step explanation:

because u flip it then multiply then u get ur answer

6 0
3 years ago
Find the solution to the set <br> b^2+12b=0 <br> use a comma
shepuryov [24]
Factor
b(b+12)=0
set to zero
b=0

b+12=0
b=-12

b=0 or -12
written as this way
b=-12,0
5 0
3 years ago
Find the length of the missing side. Round answers to the nearest tenth it
Taya2010 [7]
Si holaaa and orange brown green brown orange brown brown orange orange
3 0
3 years ago
Abby's Bagel Shop recorded how many bagels it recently sold in each flavor.
Rom4ik [11]

Answer:

sry actually 4 out of the next 16 are blackberry

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Which of the following is an example of secured debt?
    10·2 answers
  • Lisa knit 3/12 foot of a scarf on Saturday. She knit 8/12 foot of a scarf on Sunday.
    15·1 answer
  • Choose the answer based on the most efficient method as presented in the lesson. If the first step in the solution of the equati
    9·2 answers
  • Solve for z: 3/4z – 1 = 1/4(z + 8).
    11·1 answer
  • Majed made 208$ for 13 hours of work. At the same rate, how much would he make for 7 hours of work
    11·1 answer
  • Describe the type of correlation
    8·2 answers
  • Leo has an allowance of $80 from doing chores. He puts $22 into his
    5·2 answers
  • 1030303030303030 divided by 220202020
    10·2 answers
  • Factor the following.
    6·2 answers
  • 1/2 n + 10.5 =3.5 find the value of n
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!