~ MAT81 DIII~
ASSIGNMENT 1
r rr 1 +
- • lli.L QUESf1111NS FULL~ ANf WERED _
DUE: LI M/>JY 2026
I
+
DISCLAIMER:
+
- TKJS71tjtDM£NTT DlrREFER£NCnNDliW ~CcPUR SES-
___,DNLV. I DD NDT~TAKE RESPONSIBIUIT-Y~FDR AN~- PLAGIARl~M.i MISUSE. DR
ACADEMIC MISCONDUCT RESULTING FROM THEIR USE. IIT IS YDURi l ----
1
RESPDNSIBILIT! __!9_ENSU_!_ ORIGINALITY AN~ CDMPLIAN E WITH I
----R-ELEVANT GUIDELINES DR STANDARDS-. ~
, PLEASE USE THIS DOCUMENT AS A GUIDE ONLY
QUESTION 1
Equation: eos(y)!· ~ 3z2: sin(r)
w """"
Step 1: Sepat"ate:the variables
Move ~H 1J terms to theJeft and z; terms to the right
Step 2: Integrate both sides
left ~as
• The.... ...i...t- .. . 91:r,a~'fo·
. ~ u.. rwa •. rd·~ sin(
..•..!f•
)
• For the. tight .side~ use u-substitulion:
Let u == rt~ then du == 3~ dz.
/ sin(u)OO ~ -· cQS(u) + CJ.
ASSIGNMENT 1
r rr 1 +
- • lli.L QUESf1111NS FULL~ ANf WERED _
DUE: LI M/>JY 2026
I
+
DISCLAIMER:
+
- TKJS71tjtDM£NTT DlrREFER£NCnNDliW ~CcPUR SES-
___,DNLV. I DD NDT~TAKE RESPONSIBIUIT-Y~FDR AN~- PLAGIARl~M.i MISUSE. DR
ACADEMIC MISCONDUCT RESULTING FROM THEIR USE. IIT IS YDURi l ----
1
RESPDNSIBILIT! __!9_ENSU_!_ ORIGINALITY AN~ CDMPLIAN E WITH I
----R-ELEVANT GUIDELINES DR STANDARDS-. ~
, PLEASE USE THIS DOCUMENT AS A GUIDE ONLY
QUESTION 1
Equation: eos(y)!· ~ 3z2: sin(r)
w """"
Step 1: Sepat"ate:the variables
Move ~H 1J terms to theJeft and z; terms to the right
Step 2: Integrate both sides
left ~as
• The.... ...i...t- .. . 91:r,a~'fo·
. ~ u.. rwa •. rd·~ sin(
..•..!f•
)
• For the. tight .side~ use u-substitulion:
Let u == rt~ then du == 3~ dz.
/ sin(u)OO ~ -· cQS(u) + CJ.
