Engineering Mathematics - Doc

Added on - 21 Apr 2020

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Running head: ENGINEERING MATHEMATICS1Engineering MathematicsNameInstitution11234567891011
ENGINEERING MATHEMATICS2Question 1f1=(f1x^x+f1y^y+f1z^z)f1x=128xyyln(128)3sin(x)f1y=128xyxln(128)f1z=3f1=(128¿¿xyyln(128),3sin(x)),128xyxln(128)+3¿f1at (8, -1,36) = (-3sin (8) +72057594037927936ln (128))^x+(576460752303423488ln (128))^y+3^z)Question 2θρf2=(f2ρ^ρ+f2ρ^+f2z^z)f2ρ^ρ=¿-5z2¿^ρf2ρ^ρat(1, 7/6, 12) =2493.5307720=789.5307^ρf2ρ^=9zsin()^f2ρ^at(1, 7/6, 12)¿9(12)sin(7π6)=54^f2z^z=(9ρcos()10)^zf2z^zat (1, 7/6, 12) =9(1)cos(7π6)10(12)(1)=127.794^zf2=789.5307^ρ+54^127.794^zQuestion 3Evaluatef3at (45, 1/4, 1/3)1213141516171819202122232425262728293031
ENGINEERING MATHEMATICS3f3=(f3r^r+f3rθ^θ+f3rsin(θ)^)f3r^r=24r2sincosθ4sin2()f3r^rat point(45, 1/4, 1/3)¿24(452)sin(π3)cos(π4)4sin2(π3)=29758.3^rf3rθ^θ=1r(8r3sinsinθ)=(8r2sinsinθ)f3rθ^θat point(45, 1/4, 1/3)¿8(45)2sin(π3)sin(π4)=9920.433^θf3rsin(θ)^=1rsinθ(8r3coscosθ4rsin(2))f3rsin(θ)^at point(45, 1/4, 1/3)¿145sin(π4)¿f3=29758.3^r9920.433^θ+7944.115^Question 4EvaluateG1at (4, 7, 1)..G1=(G1x+G1y+G1z)G1x=8xyG1y=5xz2G1z=0.G1=8xy+5xz2+0=8(4×7)+5(4×1)=244Question 5EvaluateG2at (4, 4/2, 7).323334353637383940414243444546474849
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