Solve for question ‘d’ and ‘e’ only. Find the direction u and the value of D(u)f(1,_1) for which: d. Duf(1,-1)=4 e. Duf(1,-1)=-3

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Solve for question ‘d’ and ‘e’ only. Find the direction u and the value of D(u)f(1,_1) for which: d. Duf(1,-1)=4 e. Duf(1,-1)=-3
Let f(x,y) =x -xy +y-y. Find the directions u and the values of D,f(1,- 1) for which the following is true.
a. Dyf(1, - 1) is largest
b. Duf(1,- 1) is smallest
c. Dyf(1, - 1)=0
d. Duf(1, - 1)=4
e. Duf(1, - 1)= -3
a. Find the direction u and the value of D,f(1,-1) for which D,f(1, - 1) is largest.
3.
i+
j and Duf(1, – 1) =D
u=
Transcribed Image Text:Let f(x,y) =x -xy +y-y. Find the directions u and the values of D,f(1,- 1) for which the following is true. a. Dyf(1, - 1) is largest b. Duf(1,- 1) is smallest c. Dyf(1, - 1)=0 d. Duf(1, - 1)=4 e. Duf(1, - 1)= -3 a. Find the direction u and the value of D,f(1,-1) for which D,f(1, - 1) is largest. 3. i+ j and Duf(1, – 1) =D u=
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