14. Find all complex solutions z of z4 + 1 = 0. Use this result to factor 4 + 1 into two irreducible quadratics....
Find all solutions (real or complex) to the following: (a) z² + 2+2 = 0 (Suggestion: quadratic formula) (b) z4 – 16 = 0 (Suggestion: factor -- difference of squares)
Find ALL the complex solutions to z^10-8z^5+64=0.
4. (15 points) Find all the complex solutions of the equation +(V3-3i)(1+2)40. Express the results in Cartesian form (you may express your answer as a function of k, eg. z = eik cos (kπ/2) + isin(kn/2), k = 0, 1, 2, 3, without explicitly evaluating the expression for each k). 2- 4. (15 points) Find all the complex solutions of the equation +(V3-3i)(1+2)40. Express the results in Cartesian form (you may express your answer as a function of k, eg....
(3) Express in rectangular form all complex solutions to z2+ z +3 = 0.
Find all solutions to the equation x' +27 = 0 over the Complex Numbers. Do all parts (a)-(d): (a) Graph complex number -27+0.i as a vector in trigonometric form (b) Use De Moivre's Theorem to find one cube root of -27 (c) Graph all three solutions as vectors (in trigonometric form) on the xy-plane (d) Lastly, convert each solution from trigonometric form reise to standard form a +bi
Find all solutions to the equation x' +27 = 0 over the Complex Numbers. Do all parts (a)-(d): (a) Graph complex number -27+0.i as a vector in trigonometric form (b) Use De Moivre's Theorem to find one cube root of -27 (c) Graph all three solutions as vectors (in trigonometric form) on the xy-plane (d) Lastly, convert each solution from trigonometric form reise to standard form a +bi
Use DeMoivre's formula to find all solutions in the complex number system to the following equation. Give the answers in trigonometric form and standard form: x²+1=0
14. 4 -/1 points McKTrig8 6.2.037. Find all degree solutions in the interval 0° SO < 360°. If rounding is necessary, 10 cos + 13 tan 6 = sec Need Help? Read It Talk to a Tutor
(b) 10 points Find all complex numbers z satisfying 28 – 324 – 4 = 0.
8. Find the surface area of the part of the plane z+y+z4 over the rectangle [0, 1]x[0,2 b) 3 c) 2v3 d) 8 e) 12 8. Find the surface area of the part of the plane z+y+z4 over the rectangle [0, 1]x[0,2 b) 3 c) 2v3 d) 8 e) 12