Q: 1. Simplify the following and find the modulus: m=3 n=5 ((5 + m)v-9 + 2 i(150–2n) ) + 2(V-27 +7…
A: As we know that; For the complex number z=a+ib, the modulus value is: z=a+ib=a2+b2 And i=-1 , i2=-1…
Q: st Show all -. If s = 1+3i, t = 2 – 5i and u =– 2+ 5i then calculate your working. Write your answer…
A:
Q: Use a calculator to perform the calculations. Calculate 3 raised to the 6th power. 36 = Calculate…
A:
Q: a) Explain the difference between and permutation and a combination. ar Wa mu fer b) State a formula…
A: a)
Q: a + bi form modulus argument —3 — 3і - — 2 — Зі $1 · $2
A:
Q: (e) Determine exact expressions for the real and imaginary parts of z.
A:
Q: The Thadianal hot The prem State the possble rational Eeros for eaetnnction.
A: According to the guidelines, we are instructed to solve only onw question, the other can be reposted
Q: Solve for r. All final answers must be in Z, where n is the modulus. (a) x = 3(15) + 45 mod 18
A: Solve for x
Q: 2. Use the diagram and given information to answer the questions and prove the statement. Given: LX…
A: Given a figure:
Q: ALC11 11.1.018. MY NOTES ASK YOUR TEACHE iven. Find the terminal point. 6)
A:
Q: Q1/ Answer two only from the following: 1. Find the Multiplication Product of: -3m (Z, = 1+ v3 i) By…
A:
Q: (b) Let A1, A2,, A46 be the roots of (5 – 2i)/46. Show that 46 II ^.A; = = 29 i=1
A:
Q: 1+i Find the modulus of 3- 2 O2/2 V5 4.
A:
Q: 6.) Solve triangle ABC given that: b) 26.3° 24.1 10.5
A:
Q: 9. The explicit formula for the hexagonal numbers is an ¸ = n (2n − 1). Find the 15th and 34th…
A:
Q: 1. Simplify the following and find the modulus: ((5 + 0)V-9 +2 i(150– 0 ) ) + 2(v=27 + 7 i75+ 0 )
A:
Q: Determine the cube root of (3 + j4). ound-off the modulus to 3 decimal places, the angle to the…
A: Cube root of (3+4j)
Q: 5. Given Ho) ==Ba E4 2) Finy Alxth) cand simplify 6) Find Az th)- f2) and simplity
A: topic - function and limit
Q: # 9. Given below is a cube. The length of an edge of the cube is x. If the surface area of each face…
A: We can find the length of inner diagonal as below
Q: 9 In AABC, ZC= 12.9° and BC = 83. Find AB to the nearest tenth. A 85.1 B 19 © -11.5 D 362.6 O A h B…
A: Use the tangent ratio of angle C in triangle ABC.
Q: What is being repeated in the fractal? O a. A star O b. A pentagon inside a star c. A star inside a…
A:
Q: Given the expressions z=3 +i and w=31.Find modulus of zw and modulus| and argument of W and argument
A: In this question, we need to find modulus and argument of the given numbers.
Q: ミメ 2. of परोकचि セーnt the at स्२- 39 the wite the the tengeut live Fo quation
A: y=3x4-2x-15x-x2 We need to find the equation of the tangent line at x=1.
Q: Choose the correct option. a) Which of the following is not a perfect cube? i. 512 iii. 216 ii.…
A:
Q: ) Find a geometric power Serieg for fanctione the 7(ox) = 16 Contered at o 4-e
A:
Q: 1+ 2i = a + bi , then z = 3- 4i 2 34. If z- 1 z ==+= B 2 Z=- 5 D -152I52N In N
A:
Q: Determine the moduli and argument of (3 + j4)1/3
A: Use the basic concept of complex number and solve the problem.
Q: Let i denote the square root of –1. Suppose z = 12+7i and w = -12 – i. | Find z(z – w). Select one:…
A: Given that z=12+7i W=-12-i
Q: What is the modulus of the compex number (4 + 5i) if it is converted to the trigonometric form? A…
A:
Q: 38. The diagram below shows the 1, 2, 3 and 4" trianguler numbers. 00 000 00 000 o0 10 nin+ 1) The…
A: As per our guidelines, we are supposed to answer only 1st question at a time. Kindly repost other…
Q: Evaluate the cube root of z = 27cis (240 degrees)
A:
Q: 1. The imaginary number i is defined so that i = V-1 and i?
A: Given that i=-1therefore i2=-1
Q: Consider the following. 5 X Find the length of the third side of the triangle in terms of x.
A: Using Pythagorean theorem
Q: a² + b? = (b+ 1)² (2) %3D 1. Suppose that a and b satisfy equation (2). Expand the right hand side…
A:
Q: 31 Let w = 6 e 10. 1. How many solutions does the equation 25 - = w have? 2. The fifth roots of w…
A: Given that w = 6e3i/10
Q: 7. Find the measure of arc AB? 19° A В 26° 48 (3x)/ 14° K (2x +5)° CLEAR ALL 5x+ 15)% E Unanswered (…
A: Segment is the diameter of the circle since it passes through the center of the circle. The angle…
Q: Prove (An B) SAUB
A:
Q: 1. If t, and s, are trinagular and square numbers, respectively, show that 8tn +1 = s2n+1: 2. A…
A: We know that, The formulae for triangular and square numbers are given by tn=n(n+1)2 and sn=n2…
Q: 11. Given: DE is a midsegment of AABC DE = =x + 3 and BC = 3x-12 2 Find DE and BC.
A:
Q: NEED ASAP what is the modulus of -⅝+j 7/18?
A:
Q: 2a 36 9 atle a te Perform the indicaded operation.
A:
Q: (b) Let 17, 12, , d47 be the roots of (6 - 9i)1/47. Show that ... 47 Maa, = 117 j = 1
A: This is the direct application of De Moivers theorem.
Q: 500 22 5. A. Given ABCD K rectang le |. WHAT IS M 4 ? 2. WHAT I M LE ? 9 . WHAT S in 25 ? 4. WHAT U…
A:
Q: 1. Simplify the following and find the modulus: ((5 + m)v-9 +2 i(150-2n) ) + 2(V-27 + 7 i75+4m)
A:
Q: 17. Find the quotient. Express the answer is standard form. 4 + 3i 7- 5i
A:
Q: Find three cube roots of z = 4+4/3i. Leave your answer in the trig form. First find the trig form of…
A: To find three cube roots of the below complex number. z=4+43i
Q: Evaluate the cube root of z = 27cis (240°). Then raise them to cube. Show steps of your reasoning.
A: Using Demoivre's theorem, one of the cube roots is 2713cis(240°3) =3cis80°We know that the cube…
Q: 1. Simplify the following and find the modulus: ((5 + m)v-9 + 2 i(150-2n) ) + 2(V=27 + 7 i75+4m)
A: To simply the given expression and evaluate the modulus.
Q: [6] The rotation of a smaller wheel (r = 18 in) causes a larger wheel (r = 5 ft) to rotate. Thru how…
A: Radius of smaller circle (r1) = 18 in Radius of larger circle (r2)= 5 ft…
Step by step
Solved in 2 steps with 2 images
- Find the modulus and the principal argument of the complex number z andthen write z in exponential form (in the form z = reiΘz = 1 + √3iEvaluate the cube root of z = 27 cis (240 degrees) . Then raise them to the cube.Write the complex number z = 18 + 18j in trigonometric form Group of answer choices 19.7(cos23.96°+ ? ??? 23.96°) 23.96(cos19.7°+ ? ??? 19.7°) 23.96(cos19.7°- ? ??? 19.7°) 19.7(cos23.96°- ? ??? 23.96°)