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[answered] Math 273-02, Written Assignment 12 Name: I prefer that you


i need help with these math problem?please , as soon as possible?


Math 273-02, Written Assignment 12 Name: ID#: I prefer that you submit your answers on a printed copy of this document, like it?s a quiz or exam. However,

 

you may instead rewrite the questions by hand before solving them. Staple sheets together, in order. Be neat.

 

Always give enough work and clear explanation so that fellow students could follow what you did

 

(from start to finish) just by reading your paper. Numbers in [ ] give point values for each question.

 

?

 

?

 

Let F(x, y, z) = y 2 + 2z, 2xy + 4, 2x and let the curve C described by x = t, y = t2 , z = t3 , 1 ? t ? 2.

 

Z

 

[6] a) Evaluate

 

F q T ds using the approach from text section 14.2.

 

C [6] b) Find a potential function f (x, y, z) such that ?f = F on R3 . [4] c) Find the intial and final points on curve C. Give your answers by filling in the blanks below:

 

?

 

?

 

?

 

?

 

(initial point on C) = A =

 

, ,

 

(final point on C) = B =

 

, , [4] d) Evaluate f (B) ? f (A). Then read Theorem 14.4 on text page 1081. These results should confirm that theorem.

 


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