1. Use the definition (e-6) of the limit to show that lim f(r. y) does not exist for (z,y)-(0,0) f(x,y) = xy |ry| 2. Consider a triangle with sides a, b, c and let be the angle opposite the side c. Regarding e as a function of a, b, and 0, determine the differential de and use the result to approximate c when a = 6.20, b= 5.90, and 0 = 58°. (Use radian measure for 9.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Use the definition (e-6) of the limit to show that lim f(x, y) does not exist for
(z,y)→(0,0)
f(x, y) =
xy
|ry|
2. Consider a triangle with sides a, b, c and let be the angle opposite the side c.
Regarding e as a function of a, b, and 0, determine the differential de and use the
result to approximate e when a 6.20, b= 5.90, and 0 = 58°. (Use radian measure
for 9.)
Transcribed Image Text:1. Use the definition (e-6) of the limit to show that lim f(x, y) does not exist for (z,y)→(0,0) f(x, y) = xy |ry| 2. Consider a triangle with sides a, b, c and let be the angle opposite the side c. Regarding e as a function of a, b, and 0, determine the differential de and use the result to approximate e when a 6.20, b= 5.90, and 0 = 58°. (Use radian measure for 9.)
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