Respuesta :
The equation 7x² - 5x + 7y² + z² = 3 in the cylindrical coordinate system is 7r² - 5r cos θ + z² = 3.
What is the cylindrical coordinate?
In the cylindrical coordinate system, cylindrical dimensions are ordered triples that describe the location of a point.
The equation is given below.
7x² - 5x + 7y² + z² = 3
The conversion of the cartesian coordinate to the cylindrical coordinate system.
x = r cosθ
y = r sinθ
z = z
Then put these values in the equation. Then we have
[tex]\begin{aligned} 7(r \cos \theta)^2-5(r \cos \theta) + 7(r \sin \theta)^2 + z^2 &=3\\\\7r^2 \cos ^2\theta-5r \cos \theta + 7r^2 \sin ^2\theta + z^2 &=3\\\\7r^2 (\sin ^2\theta + \cos ^2\theta ) - 5r \cos \theta + z^2 &= 3\\\\7r^2 - 5r \cos \theta + z^2 &= 3 \end{aligned}[/tex]
More about the cylindrical coordinate link is given below.
https://brainly.com/question/14392333
#SJP4
