Several Real Variables by Shmuel Kantorovitz

Author:Shmuel Kantorovitz
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(b)Find a parametrization of the tangent line to the curve in l through the point .

6.The function is homogeneous of degree n if

(a)Prove that if is homogeneous of degree n and of class , then

(This is Euler’s formula.)

(b)If F is homogeneous of degree n and of class (), then

for all .

(c)Let be homogeneous of degree n and of class , and let be the level surface of F at level c. If is such that , prove that the equation of the plane tangent to at p is

7.Let . Prove(a)

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