Math 211 15.2 Partial Derivatives Homework It’s an easy HW, but I’m busy right now. 16 straight forward quotations. From Cengage Wedassign.I couldn’t send all the questions because the web sight only allows five pictures. Therefore, I will send the rest of the pictures to the touter 1.

-76.25 points WaneFMAC7 15.2.002.

My Notes

and

af af af

Calculate

əx’ ay’ ax|(1, -1)

f(x, y) 500 + 5x – 2y

when defined. (If an answer is undefined, enter UNDEFINED.)

af

ay |(1, -1)

af

ax

af

ay

af

=

ax(1, -1)

af

=

ay |(1, -1)

2.

–76.25 points WaneFMAC7 15.2.003.

My Notes

when defined. (If an answer is undefined, enter UNDEFINED.)

I

I

af af af

Calculate

and

ax’ay’ ax|(1, -1)

f(x, y)

7×2 – y3 + x – 3

af

ay (1, -1)

=

af

ax

af

ay

af

ax|(1, -1)

af

ay |(1, -1)

=

=

3.

–76.25 points WaneFMAC7 15.2.005.

My Notes

when defined. (If an answer is undefined, enter UNDEFINED.)

af af af

af

Calculate

and

дх’ дуƏх (1,-1)

ay |(1, -1)

f(x, y) 11,000

45x + 18y +15xy

af

ax

af

ay

af

əx |(1, -1)

af

ду (1, -1)

=

4.

-16.25 points WaneFMAC7 15.2.007.

My Notes

when defined. (If an answer is undefined, enter UNDEFINED.)

1

I

af af af

Calculate

and

ax’ay’əx|(1, -1)

f(x, y) 8x²y

af

ay (1, -1)

=

af

ax

af

ay

af

ax|(1, -1)

af

ду (1, -1)

=

=

5.

-76.25 points WaneFMAC7 15.2.010.

My Notes

when defined. (If an answer is undefined, enter UNDEFINED.)

af af af

af

Calculate

and

ax’ ay’ax (1, -1)

f(x, y) = = x-7y2 + xy2 + 5xy

ay (1, -1)

af

ax

af

ду

af

=

ax|(1, -1)

af

ay (1, -1)

=

6.

-/6.25 points WaneFMAC7 15.2.011.MI.

My Notes

Calculate

af af af

ax’ ay əx (1, -1)

and

when defined. (If an answer is undefined, enter UNDEFINED.)

1

af

ду (1, -1)

f(x, y) = (2xy + 1)3

af

ax

=

af

ду

af

ax|(1, -1)

af

ay (1, -1)

7.

—6.25 points WaneFMAC7 15.2.012.

My Notes

and

T

af

when defined. (If an answer is undefined, enter UNDEFINED.)

ду

(1, -1)

af af af

Calculate

дхдудх

(1, -1)

8

f(x, y)

(xy + 1)3

=

Әf

Әх

II

af

ду

=

af

Әх

=

(1, -1)

af

ду

=

(1, -1)

8.

—6.25 points WaneFMAC7 15.2.018.

My Notes

af af af

Calculate

дхдудх

|(1, -1)

f(x, y)

af

and

when defined. (If an answer is undefined, enter UNDEFINED.)

ду

(1, -1)

= 2xe7xy

af

дх

=

af

ду

af

Әх

(1, -1)

af

ду

(1, -1)

=

9.

—6.25 points WaneFMAC7 15.2.020.

My Notes

І

=

ә?f ə2f ә2f ә?f

Find

and

Әx2 ду?” дхду дудх

f(x, y) 1,000 + 7x – бу

ә2f

дх2

ә2f

ду?

ә2f

Әхду

ә2f

дудх

Evaluate them all at (1, -1) if possible. (If an answer is undefined, enter UNDEFINED.)

ә2f

2(1, -1) =

Әx2

ә2f

дуг (1, -1) =

ә2f

-(1, -1) =

Әхду

ә2f

-(1, -1) =

дудх

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