Exercise | Wiskunde op Tilburg University

Consider the function

$f(x,y) = 2^x + \ln(y-1) - 13$ . Determine the function value if the first input variable (

$x$ ) has a value of 3 and the second input variable a value of 2.

Antwoord 1 correct

Correct

Antwoord 2 optie

$\ln(2)-9$ .

Antwoord 2 correct

Fout

Antwoord 3 optie

$(2,3)$ .

Antwoord 3 correct

Fout

Antwoord 4 optie

The values of the input variables are outside the domain of the function

$f(x,y)$ .

Antwoord 4 correct

Fout

Antwoord 1 optie

$-5$ .

Antwoord 1 feedback

Correct:

$f(3,2) = 2^3 + \ln(2-1) - 13 = 8 + 0 - 13 = -5$ .

Go on.

Antwoord 2 feedback

Wrong: You have to determine

$f(3,2)$ , not

$f(2,3)$ .

Try again.

Antwoord 3 feedback

Wrong: The function value is not equal to the value of the input variables.

See Functions of two variables.

Antwoord 4 feedback

Wrong: The domain consists of all the feasible combinations of

$x$ and

$y$ .

$x$ may take any value, while

$y$ should be striclty greater than 1. Since

$x=3$ and

$y=2$ , there is no problem with the domain.

Try again.