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scoray [572]
3 years ago
14

Describe in words the region of R3 reperesented by the equations or inequalities y2+z2=16

Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

Answer:

It represents an infinite cylinder of radius 4.

Step-by-step explanation:

The first thing to notice is that

y^2+z^2=4^2

<u>represents a circle of radius 4</u>, with its center in the origin of a plane yz, of cartesians coordinates.

Starting from here, we have to put the coordinate x, for all values of x, to complete the space R³. <em>This will enlarge this circle we had on the plane, to infinity</em> (positive and negative on the x-axis).

Finally, we have that this region is a cylinder of radius 4, with center in y=0 and z=0, and of infinite length in the x coordinates.

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I need some help please
Nataliya [291]

Answer:

25π

Step-by-step explanation:

4 0
3 years ago
What is the equation for the line described in #9And #10?
ValentinkaMS [17]

Answer: it is definitely c. y=3x+2

Step-by-step explanation: solve the first equation and then plug in

5 0
2 years ago
.-- .... .- - .. ... ..--- .-.-. ..--- ..--..
Andrej [43]

Oh so easy!

The answer is 4!

The question is

WHAT IS 2+2?

It's written in morse code! I used to study it! :)

7 0
2 years ago
A local chicken farmer is constructing a set of eight pens to cage his chickens as shown in the diagram below. He has decided to
Vilka [71]
Primary equation: A(x)= (5y)(3X)
Secondary equation: 5y+3X=1000
y=200-(3X)/5
A(x)=3X(1000-3X)
A(x)=3000X-9X²

Now, find the derivative of A(x) to find the max... here's the work for that, or you could guess and check.

A'(x)=3000-18X

Set derivative equal to 0

0=3000-18X
166.6666666=X

Now test the intervals

(0,166.6666) (166.66666, 1000)
1st derivative is + 1st derivative is -

Plug the X value back into the secondary equation
5y+3(166.666666)=1000
5Y=500
Y=5

Answer:
X= 166.6666666666
Y=5

Please note, this is entry level calculus, and your teacher may expect you to use a different, longer route such as guess and check.
6 0
3 years ago
Round to nearest hundredth 76.684
alexgriva [62]


 i think the answer is 76.68

5 0
3 years ago
Read 2 more answers
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