Let i denote the square root of – 1. Suppose z = 8 +7i and w = –10 – i. Find z(z – w). Select one: 186+174i 40+174i O 102+174i O not in the list 26-50i

Q: (b) Show that i10 is real, even though i or 10i is not.

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Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. r(t) = (2t + 3)i +…

A: Given                            r(t)=(2t+3)i+(t)j+(-t2)k, t=1 derivative of r(t) will be aT and…

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (3t + 4)i +…

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Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (3t + 3)i +…

A: r(t)=(3t+3)i+(-2t)j+(3t2)k,t=-1 Differentiate to get velocity, v(t)=3i+(-2)j+(6t)k Find magnitude…

Q: Write a in the form a = a7T+anN at the given value of t without finding T and N. r(t) = (- 2t + 3)i…

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Q: Given z = -2V3 + 2i, find z' using De Moivr Theorem. Select the correct answer below: O 64i O 16i O…

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Q: IF A= 3i-2j find A.A *

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Q: The cube root of 64a+/27b³ (There is a divide sign also.) 3164a+/27b3 (All is under the radial and…

A: We need to simplify 64a427b33. Now,                 64a427b33=64a4327b33=4aa327b33=4aa33b

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. %3D r(t) = (- 2t +…

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Q: Find all real square roots of - 121. If there is more than one answer, separate them with commas. If…

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Q: Solve the following quadratic equati ons by factorization x+3 1-x 17 (ii) X-2

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Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. 2, r(t) = (– 3t +…

A: aT=ddtv(t)  and  aN=a(t)2-aT2

Q: Which of the following are the square roots of 27i Check all that apply. V27e3mi/2 3V6 3V6 2 2 3V6…

A: Solution by using theorem :

Q: 18. Simplify: i9 + j21 + j2050 in form a + bi.

A: Complex number a+ib form

Q: نقطة واحدة Which of the following numbers is a valid value of cubic root of (2 + i5) 1 - i3 -0.2217…

A: Given complex number is : 2+5i To find the cube roots of complex number 2+5i13

Q: (b) Show that i0 is real, even though i or 6i is not.

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Q: Q: Solve the following quadratic equati ons by factorization method: 1 1 1 ‚a+b ±0 a+b+x a

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Q: Find the value/s of k in the given equation in order to have one real root : 4x2 - 3kx + 9 = 0

A: 4x2-3kx+9=0

Q: If a, a2 an are the positive roots of Jo () = 0, show thet ..*** %3D ("D) !p "D/(x "D) °r3

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Q: Find the following: (a) (-1-i)7. (b) Square roots of 4√3+4i.

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Q: Write 2x^2-3x+7= x^3+the square root of x-1  as it might have appeared in each of the following…

A: To represent the given equation as notated by the various mathematicians (belonging to different…

Q: Solve the following quadratic for all values of x in simplest a+bi form. x +18x+38 = 4x – 20

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Q: Given z = 5 + 2i, find the product z # z.

A: Given: z = 5 + 2i The objective is to find the product z×z.

Q: Find the square roots of z =5-12i

A: Square root of z= 5-12i ± (3-2i)

Q: Find the roots. z^2 =1−2i z^4 =−2−5i

A: For solving an equation of the form z2=a+ib, where a+ibis known, we assume that z=x+iy to  get that…

Q: One of the roots of x^4 + 9x^3 + 48x^2 + 78x –136 = 0 is -3+5i. Find the other three roots. Using…

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Q: Let z1 = 5 + 3i, z2 = 5 – 3i, and z3 = 4 + 2i. Find the following. (Simplify your answer…

A: Simply add and multiply the given data.

Q: Let z = -4 + 3i and zw = -7 – 2i. By showing clear steps, find w in the form of a+bi.

A: Given:        z=−4+3i,  zw=−7−2i

Q: Find the two square roots of 4i. A v2+ v2i and v2- V2i B v2-v2i and -V2- V2i © v2- V2i and -v2 - v2i…

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Q: Write a in the form a = a- T+ anN at the given value of t without finding T and N. r(t) = (t + 5)i +…

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Q: 15. Find the two square roots of the following and write your answer in standard form. 2+ 2iv3

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Q: Q. Write the following in symbols using index form i.) m cubed ii.) 5.1 raised to the power of 8…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (b) Show that it is real, even though i or 8i is not.

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Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. r(t) = ( – 2t +…

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Q: . Let z = -4 + 3i and zw = -7 – 2i. By showing clear steps, find w in the form of a+bi.

A: In this question , the value of z is inserted into zw=-7-2i, and then it is solved for value of w.

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: Write a in the form a = a-T+ anN at the given value of t without finding T and N. r(t) = (2t + 3)i +…

A: see below the answer

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. 5t + k, t=1 a(1) =…

A: Let r(t) gives the position vector of an object at a time. The velocity of this object is…

Q: Which of the following is a cube root of – 2.3 – j1.25 1.3782 + j3.3075 -1.3593 - jo.2276 -1.3782 -…

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Q: Find the two roots of (5 + /3)/2 in rectangular. a) 2.327 + j0.6446, –2.327 – j0.6446 b) -2.327 +…

A: Given complex number is 5+j3. Write this in polar form. Then, r=52+32=36=6 θ=tan-135 Hence the polar…

Q: Let a be a positive real number and I = , Sdydx. 1 2vx

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Q: Solve the following equations in Zó with x expressed in both standard and non-standard names: xx…

A: This solution involves working modulo 6.

Q: Solve the e quations by completing the square. Preserves exact values. a) 2s+ 3= -7s 6)ナカー1=o c) t=…

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Q: Ims.jazanu.edu.sa 0. Find the square root of z =-15-8i. O (A) -1+ 4i, 1+4i O (B) -1+ 4i, 1– 4i (C)…

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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: find the differentiate of h(t)= the 5th square root of t - 5e to the power of t

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Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. r(t) = (2t + 5)i +…

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Q: Q3/ by using De Moivre's theorem find the third roots of 23 – 1 = iV3

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Q: Evaluate Sigma7i=3 i^2 − √ i + 2      (i+2 is under the square root)

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Q: Find w a + bi where a andb are real numbers. 21+20i W = W =

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Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. %3D r(t) = (212)…

A: Here I am attaching image so that you understand each and every step.

Q: Find the three cube roots of  z= -2 + i

A: Given The given complex number is z=-2+i. Use De Moivre's theorem for nth root of complex number…

Q: 5. Find the two square roots of -5 + 6i.

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