1. [V] Plot the point with cylindrical coordinates, (r, θ, z) = (2, 4π/3, 1). Then find the rectangular and spherical coordinates of the point. 2. [V] Let P be the point whose rectangular coordinates are (x, y, z) = (−1, −1, 2) Find the cylindrical and spherical coordinates of P.

4. [V] Write the equation z = x 2 + y 2 in cylindrical and in spherical coordinates.

6. [V] Write the equation φ = π/2 in rectangular and in cylindrical coordinates.

the answers are in the images, i received 100% on this assignment. hope this !

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

step-by-step explanation:

use context clues to figure out the meaning of the bolded word:  

the sage gardener knew when she had to water her plants.  

question 8 options:

mint plant

wise

happy

lazy