talia43
06.10.2019 •
Mathematics
find the quotient of 31,017 ÷ 49 and then show how you would estimate the problem.
Solved
Show answers
More tips
- F Food and Cooking The Health Benefits of Flaxseed oil...
- S Style and Beauty Why is Sugaring Better than Waxing for Hair Removal?...
- W Work and Career Where can you learn to be a flight attendant?...
- G Goods and services How to Properly Calculate the Power of Your Air Conditioner?...
- F Food and Cooking Effective Methods to Organize Videos in your iPad According to Content...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
Answers on questions: Mathematics
- M Mathematics How much HCl (hydrochloric acid) is in a 90-milliliter bottle that is marked 60% HCl?...
- M Mathematics Evan is making ham and cheese sandwiches for a party. Each sandwich is made from 1 bread roll, 1 cheese slice and 1 ham slice. He has bought bread rolls in packs...
- M Mathematics What is the LCM of 12,30 and 42...
- M Mathematics B) Find the interest in the following cases:I Amount =Rs 15000, Principal = Rs 10,000...
- M Mathematics ANSWERRRRRRRRRRRRRRRR...
- M Mathematics 1. 3a+63b= 2.8b²+6b= 3. 2ab-2ay= 4. 8a²b-4ab2= 5. 4x(x-1)-x+1 6. x(2a-B)-y(b-2a)= 7. a(x-y)-(y-x)= 8. (3x-1)(x-2)-(x+4)(x-2)= 9. (a+B)(x-3y)-2a(x-3y)= i have to...
- M Mathematics Complete the synthetic division problem below. -2 | 2 2 -2 4...
- M Mathematics Find the simple interest and amount in P = 2200 R = 6% T = 1 year...
- M Mathematics Helen is studying the daily mean wind speed for Camborne using the large data set from The data for one month are summarised in Table 1 below.2.131412119n/a6.7821WindspeedFrequency13213232Table...
- M Mathematics The distribution of the wing lengths of house flies, in millimeters (mm), is approximately normal with mean wing length 4.55 mm and standard deviation 0.39 mm. A...
Ответ:
Ответ:
If you're looking for the cube roots of √(3 + i ), you first have to decide what you mean by the square root √(…), since 3 + i is complex and therefore √(3 + i ) is multi-valued. There are 2 choices, but I'll stick with 1 of them.
First write 3 + i in polar form:
3 + i = √(3² + 1²) exp(i arctan(1/3)) = √10 exp(i arctan(1/3))
Then the 2 possible square roots are
• √(3 + i ) = ∜10 exp(i arctan(1/3)/2)
• √(3 + i ) = ∜10 exp(i (arctan(1/3)/2 + π))
and I'll take the one with the smaller argument,
√(3 + i ) = ∜10 exp(i arctan(1/3)/2)
Then the 3 cube roots of √(3 + i ) are
• ∛(√(3 + i )) = ¹²√10 exp(i arctan(1/3)/6)
• ∛(√(3 + i )) = ¹²√10 exp(i (arctan(1/3)/6 + π/3))
• ∛(√(3 + i )) = ¹²√10 exp(i (arctan(1/3)/6 + 2π/3))
On the off-chance you meant to ask about the cube roots of 3 + i, and not √(3 + i ), then these would be
• ∛(3 + i ) = ⁶√10 exp(i arctan(1/3)/3)
• ∛(3 + i ) = ⁶√10 exp(i (arctan(1/3)/3 + 2π/3))
• ∛(3 + i ) = ⁶√10 exp(i (arctan(1/3)/6 + 4π/3))