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Compute the indicated function value  `f(x,y,z)=xye^z + xze^y+ yze^x` ;  `f(7,7,7) =...

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maheen100 | Student, Undergraduate | Honors

Posted March 7, 2013 at 4:26 AM via web

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Compute the indicated function value 

`f(x,y,z)=xye^z + xze^y+ yze^x` ; 

`f(7,7,7) = ?`

`f(ln2,ln3,ln5) = ?`

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Mary Joy Ripalda | High School Teacher | (Level 3) Educator

Posted March 7, 2013 at 9:02 AM (Answer #1)

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`f(x,y,z)=xy^e^z+xze^y+yze^x`

To evaluate a function, plug-in the values of the variables.

f(7,7,7)=?

This notation means that the values of the variables are x=7, y=7 and x=7. 

Plug-in these values to the function to get f(7,7,7).

`f(7,7,7)=7*7e^7+7*7e^7+7*7e^7`

`f(7,7,7)=49e^7+49e^7+49e^7`

Note that adding the term by itself is the same as multiplying the term by the number of times it is added.

Since `49e^7` is being added by itself three times, this can be express as:

`f(7,7,7)=3*49e^7`

`f(7,7,7)=147e^7`

Hence, `f(7,7,7)=147e^7` .

(For the second problem, kindly post it as separate question in Homework Help.)

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