5

2. Find the following:The rectangular form of: 2e#i1+i b The polar form of: V3 - iThe exponential form of: (1 + i)24...

Question

2. Find the following:The rectangular form of: 2e#i1+i b The polar form of: V3 - iThe exponential form of: (1 + i)24

2. Find the following: The rectangular form of: 2e#i 1+i b The polar form of: V3 - i The exponential form of: (1 + i)24



Answers

Calculate the product by expressing the number in polar form and using DeMoivre's Theorem. Express your answer in the form $a+b i$. $$\left(-\frac{1}{2}+\frac{\sqrt{3}}{2} i\right)^{20}$$

We have to remember 29 and this we need to rewrite each complex number in Poland France from Poland from into a plus. I be fun or a standard form three areas to the power to to you know that here is the power to tita is cost data. That's hard. So this is three of course two place I had assigned to. So we should be writing this leg. Uh huh. Okay. So, uh this will be simply three course too. Three costs too. Bless three are to scientific. All right, resigned to order three. Sign too where to? They should be answered. Or if we could go one step further and Put calculator, ingredient mode and then calculate it will be three cost to which is minus one point 25 Let's three sign too. Two point 73 approximate. They should be the answer. Thank you.

Let's go ahead and start with a statement of the problem. So this is the expression that were asked to simplify the person that we need to realize is that that the stuff in parentheses is equal to co sign pie divided by three plus I sine divided by three. No. So think it's raised to the three d? Mom's theorem tells us that we could take that exploded three and multiply it by Multiply it by the angles. So we're gonna take the three and multiply it by pi over three, and that becomes our new angle. So we have pi over three times three pi over three times three. So our expression is co sign pi plus I sine pie, and this works out neatly to be negative one and that it's the final answer.

We had on the number 39. In this we need to the right expression in the form of our areas with Burrata data. So that equal to two Plus 2 is better. So if this is two plus two. And so we have to find our first our is real party square plus imagery part square. This is 2448. So to route to Okay no to go to and we need to find theater for that. The best way is to draw the 0.2 comma two comma two will be in first quarter. And so this is to come up to and this must be angle theater. So 10 theater Will be equal to simply to buy two which is one. Hence Peter will be equal to 10 verse one which is by by four. Uh huh. In Polar Farm will be to route to areas to the power. Bye Bye four Ida. They should be the answer. Thank you.

We have a problem number 46. And this uh We have to write that equal to -2. Place creator in form of that equal to our areas. To the power at the theater. Okay, so for that we are to find first the value of our which is real part, whole square blossom, every particle squander route four plus nine which is under route 13. Okay. For value of theater we should just plot the point and to get an idea. Point will be minus two comma three minus two, comma three. So some very in second quadrant. Okay, so this angle will be theater. And if this is alpha, so rita could Burton as by minus alpha, so by minus then in verse imaginary part by real part without saying. So by using corporation, this will be ar minus oh dan inverse three by two to find 158 seven. So there will be our areas of Operetta Theatre. So it is under 13 hearings to the power 2.15 87 I kept. So painter, thank you.


Similar Solved Questions

5 answers
1 5 3 H 7XV o 1 3 [ 6 1 ~6 28 [ 8 1 5 1 6 8 2 1 8 X 1 71 8 1 8 0 J J 1 ~ 5 40 { {6 [ [ 8 # 5 1 L 8 3 L L 2 0 1 c} 1 2 { 1 1 1 ? 8 L 3 2 [ Ce 1 ; 0
1 5 3 H 7XV o 1 3 [ 6 1 ~6 28 [ 8 1 5 1 6 8 2 1 8 X 1 71 8 1 8 0 J J 1 ~ 5 40 { { 6 [ [ 8 # 5 1 L 8 3 L L 2 0 1 c} 1 2 { 1 1 1 ? 8 L 3 2 [ Ce 1 ; 0...
5 answers
(Round 1| 9 H Jiuwes 1 1 1 1 Wcpuli: uruit1 1
(Round 1| 9 H Jiuwes 1 1 1 1 Wcpuli: uruit 1 1...
5 answers
3. Use the graph y = f (x) for problems (a-h) What is f (5) ~ f(1)b: What is the domain of f (x)What is the range of f(x)What interval(s) of increaseWhat intervalls) of decreaseWhat the relative maximum8. What the relative minlmumWhat are the interceptsThelwaluels) for X which f() = 2
3. Use the graph y = f (x) for problems (a-h) What is f (5) ~ f(1) b: What is the domain of f (x) What is the range of f(x) What interval(s) of increase What intervalls) of decrease What the relative maximum 8. What the relative minlmum What are the intercepts Thelwaluels) for X which f() = 2...
5 answers
Perform the indicated operations and simplify the resultsec 0 - sec 00 A sin € tan 0 0 B. 1 + cot 0 0 c. 2 tan 20 0 . sec 0csc 0
Perform the indicated operations and simplify the result sec 0 - sec 0 0 A sin € tan 0 0 B. 1 + cot 0 0 c. 2 tan 20 0 . sec 0csc 0...
5 answers
Ouu DulUFind an equation of Ine line graphed, Write tho cquation standard (orm .The equation Is (Type vour answer standard form , Simplify YOUing
Ouu DulU Find an equation of Ine line graphed, Write tho cquation standard (orm . The equation Is (Type vour answer standard form , Simplify YOU ing...
5 answers
WottreGeetptlJpatunelmnauCeacnttiEucu
WottreGe etptl Jpatun elmnau Ceacntti Eucu...
5 answers
Identify the acid and base in the reactants and link them t0 their conjugate acid and base in the products. See the example below: HCi (aq) H,0 (0 + HO (aq) + Cl (aq)A (aq) Ho (4 ~ HA (aq) + OH: (aq)B (aq + 2 1O( + BOH(aq) HO '(aq)HCO(aq) NO (aq ~ HNO (aq) HCOr(aq)C HNH-(aq)CoHsOH(aq)CoHsNH; (aq) CoHsO (44)
Identify the acid and base in the reactants and link them t0 their conjugate acid and base in the products. See the example below: HCi (aq) H,0 (0 + HO (aq) + Cl (aq) A (aq) Ho (4 ~ HA (aq) + OH: (aq) B (aq + 2 1O( + BOH(aq) HO '(aq) HCO(aq) NO (aq ~ HNO (aq) HCOr(aq) C HNH-(aq) CoHsOH(aq) Co...
1 answers
Use properties of logarithms to rewrite each function, then graph. $$ f(x)=\log _{2} \frac{x-1}{2} $$
Use properties of logarithms to rewrite each function, then graph. $$ f(x)=\log _{2} \frac{x-1}{2} $$...
5 answers
Car is traveling at rate of 74 feet per second when the brakes are applied. The position function for the car is given Dy s(t) and t is measured in seconds Use this function to complete the table_25+2 745, where is measured in feets(t)64.75111138.7555.5018.50a t)18.5018.5018.50-18.5018.5018.50
car is traveling at rate of 74 feet per second when the brakes are applied. The position function for the car is given Dy s(t) and t is measured in seconds Use this function to complete the table_ 25+2 745, where is measured in feet s(t) 64.75 111 138.75 55.50 18.50 a t) 18.50 18.50 18.50 -18.50 18....
5 answers
The failure time, in months, of a component is a random variablewith a Weibull distribution with parameters a=8.30 and b=1.67. Whatis the probability that the component will fail within 1.0months?
The failure time, in months, of a component is a random variable with a Weibull distribution with parameters a=8.30 and b=1.67. What is the probability that the component will fail within 1.0 months?...
5 answers
Question 152 ptsSuppose we wish to test HO:| = 47 versus Hl: - > 47 hatwill result if we conclude (the decision) that the mean is greater than 47 when its trua valueis eally 52?None ofthe others are correctWe have made a correct decisipn:We have made 3 Type | ertor:We have made a Type Il error
Question 15 2 pts Suppose we wish to test HO:| = 47 versus Hl: - > 47 hatwill result if we conclude (the decision) that the mean is greater than 47 when its trua valueis eally 52? None ofthe others are correct We have made a correct decisipn: We have made 3 Type | ertor: We have made a Type Il e...
5 answers
Use the table ba Ow to find (he percontage of data Items nornai dlstribulon Ihat petwreer Z = 0 6 andz=17 Lscoro 7016 Putcentile 53 99/57.93/61,79/65 54/62 72,57475.00478 84/84.594443 cqiU 5 Porcarhlala C6 49188 49/90.32 {91 92 92332/9452/95 5 g6 4gz 422712 carn 425 ntcantim '20 | 29 98,2u94.64/98, 93/09I/99 1g9.52/99.65/9974pg 0199 47 purcintudc
Use the table ba Ow to find (he percontage of data Items nornai dlstribulon Ihat petwreer Z = 0 6 andz=17 Lscoro 7016 Putcentile 53 99/57.93/61,79/65 54/62 72,57475.00478 84/84.594443 cqiU 5 Porcarhlala C6 49188 49/90.32 {91 92 92332/9452/95 5 g6 4gz 422712 carn 425 ntcantim '20 | 29 98,2u94.6...
5 answers
Let Q1 < Q2 be the critical points of f(x) = −7x 2 e 5x +(1). Let Q3 = 1 if f has a relative maximum at x = Q1, and Q3 = 0otherwise. Let Q4 = 1 if f has a relative maximum at x = Q2, and Q4= 0 otherwise. Let Q = ln(3 + |Q1| + 2|Q2| + 3|Q3| + 4|Q4|). Then T= 5 sin2 (100Q) satisfies:— (A) 0 ≤ T < 1. — (B) 1 ≤ T < 2. —(C) 2 ≤ T < 3. — (D) 3 ≤ T < 4. — (E) 4 ≤ T ≤ 5.
Let Q1 < Q2 be the critical points of f(x) = −7x 2 e 5x + (1). Let Q3 = 1 if f has a relative maximum at x = Q1, and Q3 = 0 otherwise. Let Q4 = 1 if f has a relative maximum at x = Q2, and Q4 = 0 otherwise. Let Q = ln(3 + |Q1| + 2|Q2| + 3|Q3| + 4|Q4|). Then T = 5 sin2 (100Q) satisfies:â€...
5 answers
Quhkini 5 3 8 0 1 1 1 06 38 Ri8e/s2/8#7seisejs %e 1 L L 1 W H 6 0 j | I L FF
Quhkini 5 3 8 0 1 1 1 06 38 Ri8e/s2/8#7seisejs %e 1 L L 1 W H 6 0 j | I L FF...
5 answers
(10 points) Find the volume generated by revolving the region bounded byy = x' In (x)y = 0, X= 1,and x = 3 about the Y-axis
(10 points) Find the volume generated by revolving the region bounded byy = x' In (x)y = 0, X= 1,and x = 3 about the Y-axis...

-- 0.020077--