Question

Let $f(x, y, z) = \ln(z - \sqrt{x^2 + y^2})$. (a) Evaluate $f(3, -4, 7)$. 0.693 (b) Find the domain of $f$. (Enter your answers as a comma-separated list of inequalities.) $\{z^2 - x^2 - y^2 > 0\}$

          Let $f(x, y, z) = \ln(z - \sqrt{x^2 + y^2})$.
(a) Evaluate $f(3, -4, 7)$.
0.693
(b) Find the domain of $f$. (Enter your answers as a comma-separated list of inequalities.)
$\{z^2 - x^2 - y^2 > 0\}$

$Let f(x, y, z) = ln(z - √(x^2 + y^2)). (a) Evaluate f(3, -4, 7). 0.693 (b) Find the domain of f. (Enter your answers as a comma-separated list of inequalities.) {z^2 - x^2 - y^2 > 0}$

Added by Scott P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Apratim De

Step 1

So, f(3,-4,7) = 1/(7*7 - 3^2 + (-4)) = 1/(49 - 9 - 4) = 1/(36) = 0.0278 (rounded to four decimal places). Show more…

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Let f(x,y,z) = 1/(nz - x^2 + y) a) Evaluate f(3,-4,7) 0.693 b) Find the domain of f (Enter your answers as a comma-separated list of inequalities.) {22 - x^2y^2 > 0}