We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Problem 1.4 (a) Let 2 = 3e32"/3. Convert z to Cartesian form. (b) Let z =...
14 For the complex number z=-3+3i do the following a) Convert to polar form, Polar 2- b) Still in polar form, find z? Polar c) Finally convert z' back to standard form Standard 2' =
3. Express each of the following in simplified Cartesian form. a) (v2- V60)0 (V2 + V65)25 (b) 21010(-1 +)0(+) 4. Find the complex number z, in Cartesian form, such that it satisfies the equation 5. Find all solutions of the equation r 160 Express any complex solutions in Cartesian form, simplified as much as possible.
Question 3.1 (10 marks) Consider the two complex numbers-V3+i and 2 3 cis(-/3) a) Write 1V3+i in polar form, in terms of its principal argument. b) Use your answer in a) to evaluate z1/21 in polar form, and then convert that into cartesian form. c) Using their polar forms, determine z122 and z2/句in terms of their principal argument. d) Determine (22)2 in polar form, in terms of its principal argument. e) Determine all distinct values of (22)1/3 in polar form,...
Write -V3+ i in polar and exponential forms. Write 2 = 3 COS + e) in Cartesian form. 6 6 3) Write z = -2+2i in polar and exponential forms. Calculate zll using the exponential form. convert z11 to Cartesian form.
Use these xy - coordinates to plot the complex number in problem 23. 23. Let z = 5 - 31 (2 pts) a) Plot the complex number z (3 pts) b) Find z2 by multiplication of complex numbers. (3 pts) c) Write the trigonometric form of the complex number z. (3 pts) d) Find zs. (5 pts) e) Find the 4th roots of z.
Let z=6+6 \sqrt{3} i.(a) Graph z in the complex plane. (b) Write z in polar form.(c) Find the complex number z9. (Enter your answer in a+bi form.) z9=
and Demoiver's Theore Chapter a Section 9.6- Complex numbers Problem: Find polar and Cartesian forms for all three cube roots of the complex number -8. answers enter the polar form in in increasing onder of their angles, with OLO Į ait. Let Pq , P2, P3 represent the polar form and C., C2, C3 represent the corresponding Cartesian form. Round the constants three decimal places, if required. P. - C. = P2 = Il a Pz: C3
3. Complex numbers and math a) Express z=-6 8 in polar form b) Express -1 in polar form c Express z--3e in rectangular form. d) Express z-(2+j) in rectangular form. e) For the two complex numbers z, (6-j4) ad z(-2+j1) determine in polar form. f) lf z=(-84%) determine Teal! (z*)"! in polar form.
(a) Find Cartesian coordinates for the polar point (-1, -1) and plot the point. (b) Find Polar coordinates with r > 0 and -1 < <a for the Cartesian point (-1, V3) and plot the point. (c) Convert the equation x2 + y2 = x to polar form and sketch the curve. (d) Convert the equation r = 5 csc @ to Cartesian form and sketch the curve.
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal given below, determine the values of n for which it is guaranteed to be zero. (a) xịn - 3] (b) x[n+ 4] (c) x[-n] (d) x[-n+2] (e) x[-n-2] 1.5. Let x(t) be a signal with x(t) = 0 for t <3. For each signal given below, determine the values of t for which it is guaranteed to be zero....