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Vika [28.1K]
3 years ago
8

Use polar coordinates to find the volume of the given solid. bounded by the paraboloid z = 9 + 2x2 + 2y2 and the plane z = 15 in

the first octant
Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer:

Z = 8 + 2x2 + 2y2

Convert to polar coordinates

Z = 8 + 2r2

Now theta will go from 0 to pi/2 because it's in the first quadrant.

R will go from 0 to the radius of the circle formed at the intersection of the plane and the paraboloid.

14 = 8 + 2r2

r = sqrt(3)

So r goes from 0 to sqrt(3).

You integrate 14-z where 0<r<sqrt(3) and 0<theta<pi/2.

It is 14-z and not z because just z would give the volume under the paraboloid.

Step-by-step explanation: please go answer my recent question

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If 9(1-x) = 27Y and x-y=-11/2, find the value of x + y.​
Finger [1]

Answer:

-2.25

Step-by-step explanation:

9(1-x) = 27Y

9-9x =27y

-9x -27y = -9  multiply all terms by -1

9x +27y =9   equation (1)

x-y= -11/2 equation (2)

by solving 2 equations

x= -3.875

y= 1.625

∴ x+ y = 1.625 +(-3.875) = -2.25

5 0
2 years ago
Read 2 more answers
5\12 +2/5 what is the answer
Ne4ueva [31]
5/12+2/5
4.167+0.4
4.567


It is the correct answer

If it helps you brainlest me plzzzz
3 0
3 years ago
I need help with this question???
Sholpan [36]

Answer:

A

Step-by-step explanation:

Because -20 is more than -17 by -3

6 0
3 years ago
D(n)=-5(1/2)^n-1 what is the 3rd term in the sequence
Studentka2010 [4]

Answer:

-1.25

Step-by-step explanation:

Better to write this as

a(n)= -5(1/2)^(n-1)

Then the 3rd term is a(3) = -5(1/2)^(3 - 1), or  a(3) = -5(1/2)^2  = -5/4 = -1.25

7 0
2 years ago
Please explain how to divide 1,344 by 24 using the box method? I know the answer is 56, but I am not sure how to get this answer
Maslowich

Answer:

Step-by-step explanation:

Given that divisor is 24 and dividend is 1344 and we are to use box method.

Long division is often considered one of the most challenging topics to teach. Luckily, there are strategies that we can teach to make multi-digit division easier to understand and perform.

The Box Method, or  the Area Model, is one of these strategies. It is a mental math based approach that will enhance number sense understanding. Students solve the equation by subtracting multiples until they get down to 0, or as close to 0 as possible.

For example this method is shown below:

I step is to find in multiples of 10 or 100 the greatest divisor

24) 1344( 500

      1200

      --------

        144

Step 2: Next step is to divide 144 by 24

24)144( 6

     144

      ----

         0

Thus we find that quotient is quotient in I step + quotient in 2nd step

= 50+6 = 56

and remainder is zero.

     

7 0
3 years ago
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