suchislifecestlavie suchislifecestlavie
  • 10-11-2021
  • Mathematics
contestada

Write the equations in cylindrical coordinates.
(a) 6x + 5y + z = 6


(b) −4x^2 − 4y^2 + z^2 = 5

Write the equations in cylindrical coordinates a 6x 5y z 6 b 4x2 4y2 z2 5 class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 10-11-2021

In cylindrical coordinates, we take

x = r cos(t)

y = r sin(t)

z = z

(a) Then

6x + 5y + z = 6

transforms to

6r cos(t) + 5r sin(t) + z = 6

(b) We have

x² + y² = r² (cos²(t) + sin²(t)) = r²

so

-4x² - 4y² + z² = 5

converts to

-4r² + z² = 5

Answer Link

Otras preguntas

What are the names of the components ( each shown with a leader and a line) of a circuit in the diagram. NAME ALL 4
At Chester’s Bakery, a box of 12 donuts sells for $8.50. What is the unit price of the donuts in the box, rounded to the nearest cent?
The adjacent angles ∠1 and ∠2 have measures of A.38, 142 B.76, 104 C.28, 152
High blood pressure is a physical response to stress
Immediately after world war 1, how were conditions in Japan different from conditions in germany
What do you think the West came to symbolize in American culture?
PLEASE HELP! THANKS! In the figure, one side of the rectangle divides the circle in half. What is the area of the unshaded portion of the figure? Use 3.14 to a
25 POINTS!!!!!!! Read this excerpt from act I, scene I, of Richard III: Now is the winter of our discontent Made glorious summer by this sun of York; And all
In which of the following ways does Cervantes critique the culture of his time in "Don Quixote?" A. He satirizes the concept of chivalry. B. He attacks the
Find the equation of the circle whose center and radius are given. center (0, 8), radius = 8