Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter. x = et, y = e3t + 4

Respuesta :

The graph of the function x = [tex]e^t[/tex], y = [tex]e^{3t} +4[/tex] has been shown

The rectangular equation is [tex]y = x^3+4[/tex]

What is graph of a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Graph of a function f(x) is the collection of all points of the form (x, f(x))

x = [tex]e^t[/tex], y = [tex]e^{3t} +4[/tex]

[tex]x^3 = e^{3t}[/tex]

So the required curve  in rectangular equation is

[tex]y = x^3+4[/tex]

The graph has been given

To learn more about graph of a function, refer to the link-

https://brainly.com/question/24335034

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