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Compute the indicated function value. `f(x,y,z)=xye^z+xze^y+ yze^x` `f(ln2,ln3,ln5)= ?`

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maheen100 | Student, Undergraduate | Honors

Posted March 8, 2013 at 5:02 AM via web

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Compute the indicated function value.

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

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

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

Posted March 8, 2013 at 7:26 AM (Answer #1)

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The notation f(ln 2, ln 3 , ln 5) means that the values of the variables are x= ln 2 , y = ln 3 and z = ln 5.

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

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

`f(ln 2, ln 3 , ln 5)=ln2 * ln3*e^(ln5) + ln2*ln5e^(ln3) + ln3*ln5e^(ln2)`

Note that `e^(lna)=a` .

`f(ln 2, ln 3 , ln 5)=ln2*ln3*5+ln2*ln5*3+ln3*ln5*2`

`f(ln2,ln3,ln5)=5ln2*ln3+3ln2*ln5+2ln3*ln5`

`f(ln 2, ln 3 , ln 5)=10.69`

Hence, `f(ln 2, ln 3 , ln 5)=10.69 ` .

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