Try another version of this question
For the function `f(x,y)=2*log(3x+7y)`, note that `f(100,100)=32`.
Give exact answers.
(a) Find `f_{x}(100,100)`=
(b) Find `f_{y}(100,100)`=
(c) Find the expression for the linear approximation to the function at the point `(100,100)`.
(d) Use the expression for the linear approximation to approximate `2*log(1012)=f(104,100)`.
Give exact answers.
(a) Find `f_{x}(100,100)`=
(b) Find `f_{y}(100,100)`=
(c) Find the expression for the linear approximation to the function at the point `(100,100)`.
(d) Use the expression for the linear approximation to approximate `2*log(1012)=f(104,100)`.
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`3/(500*ln(10))`
Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`7/(500*ln(10))`
Box 3: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`6+3/(500*ln(10))x+7/(500*ln(10))y`
Box 4: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`6+3/(125*ln(10))`