change from rectangular to cylindrical coordinates. (let r ≥ 0 and 0 ≤ ≤ 2.) (a) (5 3 , 5, −9)

To change from rectangular to cylindrical coordinates for the point (5, 3, -9), we need to find the radius, angle, and height of the point.

To change from rectangular to cylindrical coordinates, we need to find the radius (r), the angle (θ), and the height (z) of the point in question.

Starting with the point (5, 3, -9), we can find the radius r using the formula:
r = √(x^2 + y^2)

In this case, x = 5 and y = 3, so
r = √(5^2 + 3^2)
r = √34

Next, we can find the angle θ using the formula:
θ = arctan(y/x)

In this case, y = 3 and x = 5, so

θ = arctan(3/5)
θ ≈ 0.5404

Finally, we can find the height z by simply taking the z-coordinate of the point, which is -9.

Putting it all together, the cylindrical coordinates of the point (5, 3, -9) are:
(r, θ, z) = (√34, 0.5404, -9)

So the long answer to this question is that to change from rectangular to cylindrical coordinates for the point (5, 3, -9), we need to find the radius, angle, and height of the point.

Using the formulas r = √(x^2 + y^2), θ = arctan(y/x), and z = z, we can calculate that the cylindrical coordinates of the point are (r, θ, z) = (√34, 0.5404, -9).

Know more about cylindrical coordinates here:

https://brainly.com/question/31397074

#SPJ11

A savings account earns 7% interest each year, compounded quarterly (4 times a year). If a person invests $300 and makes no further deposits or withdrawals, what is the balance in the account after 5 years​

The entire digits of pie times the square root of 1

pls help me with this I have to go to bed soon( I need the volume of the sphere)

Slope of 4,-9 and 8,-3

PLS SHOW HOW YOU SOLVED THE PROBLEM
15. The perimeter of an isosceles triangle is 34 inches. When you add the base of the
triangle to one of the equal sides the sum is 18. What is the length of the base of the
triangle?
a)
2 inches
go to card 3
b) 14 inches
go to card 6
c) 9 inches
go to card 9
d) 16 inches
go to card 11
e) 4 inches
go to card 13

Rearrange p=r+3 to make r the subject

ayo!! listen to me this is an easy question :)

Apples are on sale at the local fruit stand at 4 lbs. for $2.60. Which equation can be used to find the cost, c, of n pounds of apples?
c = 4
c = .65n
c = 2.60n
c = 8n

What's the circumference of a circle with a radius of 5 inches

On a loan of $4,500 for 2 1/2 years at 4% per year, how much do you wind up paying to pay off the loan?

Find the slope of a graph
I'll GIVE BRAINLESS

Can you answer this for 20 points? With which countries was France at war in 1792 and 1793?

A rectangle has a length of 2y inches and a width of y - 4 inches. If the perimeter of the rectangle is 22 inches, what is y? What is the length? What is the width?

Find the square root. 1/16​

A sailboat with a sick passenger abroad is following a parabolic path given by the equation = − 2 +2 + 8.
The boat’s captain sent out a distress signal. A speedboat is trying to catch the sailboat to provide medical aid and is on a path given by the linear equation y=- x+8. Besides the y-intercept (starting location) where do the paths of the two boats cross (for each graph you must plot at least 3 points each and give answer in coordinate pair notation)?

Polar bears eat 8.4 pounds of fish a day. Penguins eat about 0.80 of that amount. How many pounds if fish do penguins eat?

Need help ASAP 25 points

Find the point-slope equation for the line that passes through the points (-6, 24) and (5, -31). Use the first point in your equation. y - [?] = [ ](x-[ ])​

the length and breadth of a hall are 20m and 15m respectively. find the area of 4 Walls of the hall if the height of the hall is 10 m​

Angel repairs used furniture. He expects to use 48 oz of wood filler this month. There are 16 oz in 1 lb. How many pounds of wood filler does Angel expect to use this month?

George wants to buy a new television that is on sale for 1/4 off the regular price of $599.96. The sales tax is 7%. What is the final price of the television including tax? ​

1/4 y + 9=1/2 A -34 b 2 c 9 d 38

- A unicycle tire has a radius of 13 inches. About how far will the unicycle travel in 20 rotations?
F.1633 inches
G.10,613 inches
H.82 inches
J.520 inches

A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE

Can someone please help me ASAP

find the value of -
[tex]( {x}^{2} - x)[/tex]
where, x = 5
​

The y-intercept of the the inverse of the function f(x) = 1/4 x-9/4 is

I NEED HELP NOW ITS DUE TODAY AND I HAVE MORE AHHHHHHHHH
Lin needs to save up $20 for a new game. How much money does she have if she has saved 25% of her goal?

if the slop of the straight line passing through the two points A (4, k) , B (3, 2) is 5, find the value of K

3x-4y=-14 6x+3y=27 don’t understand how to solve

if sin theta = cos theta,theta is an acute angle then tan theta=?
please answer within one hour
I will mark u brainliest​