Math 149S12 Quiz 2 design 25 January, 2012Mathematica Version 5.1, edited and re-saved under 8.01In[16]:=Clear@eqn, result, x, yDIn[17]:=eqn = D@x + y@xD Sin@xy@xDD,xDOut[17]=1 + y@xD Cos@xy@xDD Hy@xD + xy@xDLIn[18]:=result = Solve@eqn, y'@xDD@@1DDOut[18]=9y@xD →1 − Cos@xy@xDD y@xD− 1 + x Cos@xy@xDD=In[19]:=result = y'@xDê. resultOut[19]=1 − Cos@xy@xDD y@xD− 1 + x Cos@xy@xDDIn[20]:=result = result ê.x→ 4Out[20]=1 − Cos@4y@4DD y@4D− 1 + 4 Cos@4y@4DDIn[21]:=result = result ê.y@4D → Pi ê 24Out[21]=1 −π163− 1 + 2 3In[22]:=result = Simplify@result 6DOut[22]=48 − 3 π− 8 + 16 3In[23]:=Simplify@%DOut[23]=48 − 3 π− 8 + 163In[24]:=Simplify@H16 Sqrt@3D − 8LH16 Sqrt@3D + 8LDOut[24]=704In[25]:=Expand@H48 − Pi Sqrt@3DL H16 Sqrt@3D + 8LDOut[25]=384 + 768 3 − 48 π−8 3 πIn[26]:=% ê 704Out[26]=1704I384 + 7683 − 48 π−8 3 πMIn[27]:=Simplify@%DOut[27]=188I48 + 963 − I6 + 3 M πMIn[28]:=Expand@%DOut[28]=611+12 311−3 π44−3 π882 Problem 2.8 # 19Replace "cm" with "inch" and "min" with "second".2
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