contestada

Let g(x, y) = cos(x + 5y). (a) Evaluate g(10, −2). g(10, −2) = (b) Find the domain of g. −1 ≤ x ≤ 1, − 1 5 ≤ y ≤ 1 5 −5 ≤ x ≤ 5, −1 ≤ y ≤ 1 −1 ≤ x + 5y ≤ 1 the set of real numbers2 − π 2 ≤ x + 5y ≤ π 2 (c) Find the range of g. (Enter your answer using interval notation.)

Respuesta :

steffaniasierrag

Answer:

since [tex]Cos(z)[/tex] is a function defined for all [tex]z\in \mathbb{R}[/tex], then there is not restriction for [tex]x+5y[/tex], thus, the domain of [tex]g(x,y)[/tex] is [tex]\mathbb{R}^2[/tex] and in interval notation is [tex](-\infty,\infty)\times(-\infty,\infty)[/tex]

Since [tex]Cos(x+5y)\in\mathbb{R}[/tex] then the range of [tex]g(x,y)[/tex] is the interval [-1,1].

Otras preguntas