1na molnc and ind hárrmonic conjugate v(x, y). Show that exp(z²)

Question 7 Question 81na molnc and ind<br>hárrmonic conjugate<br>v(x, y).<br>Show that exp(z²) < exp(z|*) for all z e C.<br>5.<br>6.<br>Show that Log[(-1+i)²]+2Log(-1+i).<br>7.<br>Find all roots of the equation log(z) = Ti / 2<br>8.<br>Find the principal value of (1+ i)'.<br>9.<br>Use the definitions of sin(z) and cos(z) given in Lecture 13 at the 13:30 mark to<br>prove that sin z+<br>= cos(z) for all z E C.<br>(Do not use any other trigonometry identities for question 9)<br>10.<br>Evaluate (3t – i)²dt<br>

Extracted text: 1na molnc and ind hárrmonic conjugate v(x, y). Show that exp(z²) < exp(z|*)="" for="" all="" z="" e="" c.="" 5.="" 6.="" show="" that="" log[(-1+i)²]+2log(-1+i).="" 7.="" find="" all="" roots="" of="" the="" equation="" log(z)="Ti" 2="" 8.="" find="" the="" principal="" value="" of="" (1+="" i)'.="" 9.="" use="" the="" definitions="" of="" sin(z)="" and="" cos(z)="" given="" in="" lecture="" 13="" at="" the="" 13:30="" mark="" to="" prove="" that="" sin="" z+="cos(z)" for="" all="" z="" e="" c.="" (do="" not="" use="" any="" other="" trigonometry="" identities="" for="" question="" 9)="" 10.="" evaluate="" (3t="" –="">

Jun 04, 2022
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