Evaluate ?^-3 + 4 ?^8 and express the answer as a simplified complex number.
Evaluate ?^-3 + 4 ?^8 and express the answer as a simplified complex number.
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.
in the form a + b a) Express the number (3) b) Use the De Moivre's theorem to find (1/2+1/20) (5) c) Find the six sixth roots of -8(ie. find V-B ) and graph these roots in the complex plane (.e. polygonal representation) (8) d) Evaluate i)e". ) ef-1**/2) (write your answer in the form 4+) (4) 201
Question 1:
Plot the complex number. Then write the complex number in polar form. Express the argument as an angle between 0 and 360° 2+4 i Almaginary Plot the complex number. OS - z= (cos + i sin D) Type an exact answer in the first answer box. Type all degree measures rounded to one decimal place as needed.)
3. Perform the following complex number calculations (Note: Electrical engineers use j Express your answer in rectangular and polar format (3 +j4) + (4-J2)- (3 +j4)-(4-J2)- (3 +/4) * (4-y2) = (3 +j4)/ (4-j2)- instead of i for the imaginary component) (rectangular) (rectangular) (rectangular) (rectangular) (polar) (polar) (polar) (polar)
Determine the sum of the angles from the vectors of the polynomial D (s*) = (s* +9.8)(8*+0.2) to the complex number s =-2.6+54.4. Express your answer in degrees.
Determine the sum of the angles from the vectors of the polynomial D (s*) = (s* +9.8)(8*+0.2) to the complex number s =-2.6+54.4. Express your answer in degrees.
4.) Express the result of the complex number in polar form using 4 significant digits. [show work, check with your calculator] a) 1-(14-41)](0341) b) (14-/3) j7213
Plot the complex number. Then write the complex number in polar form. Express the argument as an angle between 0 degrees and 360 degrees . 1-4i z=___(cos__+i sin__)
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.
express this complex number in polar form using radians. 27/13-3/11i
Evaluate the following expression. Express your answer as a fraction or a decimal number rounded to four decimal places. C812P512