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qaws [65]
3 years ago
14

A circle is centered at the origin is rotated about the y axis

Mathematics
2 answers:
Svet_ta [14]3 years ago
6 0

Answer:

E.  SPHERE

Step-by-step explanation:

if a circle is located at the origin and rotated about the y-axis

it would create a 3-d image of SPHERE. (see attached)

____ [38]3 years ago
5 0
It should be C which is torus
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-x+4=2x-8<br><br> We think it’s x=11.5
kvv77 [185]

Answer:

x=4

Step-by-step explanation:

-x+4=2x-8

4=2x-(-x)-8

4=2x+x-8

4=3x-8

3x=4+8

3x=12

x=12/3

x=4

6 0
3 years ago
You need 2 eggs for a brownie’s recipe that makes one batch. If you need 9 eggs, how many batches can you bake? Write your answe
Norma-Jean [14]

Answer:

4 1/2

Step-by-step explanation:

6 0
3 years ago
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex
velikii [3]

Answer:

The maximum value= 36

Minimum value = - 36

Step-by-step explanation:

Given that

f(x, y, z) = 8 x + 8 y + 4 z

h(x,y,z)=4 x² + 4 y² + 4 z² - 36

From Lagrange multipliers

Δf = λ Δh

Δf = < 8 ,8 , 4>

Δh = < 8 x ,8 y  , 8 z>

Δf = λ Δh

So

< 8 ,8 , 4> = < 8  λ x ,8 λ y  , 8 λ z>

8 = 8  λ x                     -------------1

8 = 8 λ y                      ----  ------2

4 = 8 λ z                    ----------------3

From equation 1 ,2 and 3

Now by putting the value of x,y and z in the following equation

4 x² + 4 y² + 4 z² = 36

4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{(2\lambda)^2 }=36

\dfrac{4}{\lambda^2 }+ \dfrac{4}{\lambda^2 }+ \dfrac{1}{\lambda^2 }=36

So the value of λ is

\lambda =\pm \dfrac{1}{2}

When λ = 1/2

x = 1 / λ   , y=1 / λ   ,  z= 1 /2 λ

x= 2 , y = 2 , z=1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(2, 2, 1) = 8 x 2 + 8 x 2 + 4 x 1

f(2, 2, 1) =36

When λ = - 1/2

x = 1 / λ   , y=1 / λ   ,  z= 1 /2 λ

x= - 2 , y = - 2 , z= - 1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(-2, -2, -1) = 8 x (-2) + 8 x (-2) + 4 x (-1)

f(-2, -2, -1) = - 36

The maximum value= 36

Minimum value = - 36

7 0
3 years ago
Read 2 more answers
(Please help) Which answer describes the polynomial?
lbvjy [14]
\bf 3x^3+4x^2-7\quad &#10;\begin{cases}&#10;3x^3\impliedby &3rd~degree\\&#10;4x^2\impliedby &2nd~degree\\&#10;7\impliedby &0~degree&#10;\end{cases}

notice, there are three terms, therefore is a trinomial.

the term that has the highest degree, has a degree of 3, therefore the degree of the polynomial as a whole is 3, or a cubic degree.

so, is a cubic trinomial.
5 0
3 years ago
What is the area? Bit confused on this one.
Nutka1998 [239]

Answer:

A = 9x² + 12x

Step-by-step explanation:

The area (A) of the rectangle is calculated as

A = height × width

  = 3(3x² + 4x) ← distribute parenthesis by 3

   = 9x² + 12x

7 0
3 years ago
Read 2 more answers
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