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Oduvanchick [21]
4 years ago
8

Find dimensions of the rectangular box of maximum volume that can be inscribed in a sphere of radius a?

Mathematics
1 answer:
ivolga24 [154]4 years ago
4 0
This is an optimization calculus problem where you would need to know a little bit more about the box, atleast i would think. You would just need to use the volume equation of a sphere as the restrictive equation in the optimization problem. Perhaps there is a way to solve with the given information, but i do not know how to.
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Himpunan penyelesaian pertidaksamaan nilai mutlak |2x-4| > |3x+2|
Stells [14]

Answer:

The solution in interval notation is:

(-6,\frac{2}{5}).

The solution in inequality notation is:

-6.

Step-by-step explanation:

I think you are asking how to solve this for x.

Keep in mind |x|=\sqrt{x^2}.

|2x-4|>|3x+2|

\sqrt{(2x-4)^2}>\sqrt{(3x+2)^2}

If \sqrt{u}>\sqrt{v} then u>v.

(2x-4)^2>(3x+2)^2

Subtract (2x-4)^2 on both sides:

0>(3x+2)^2-(2x-4)^2

Factor the difference of squares a^2-b^2=(a-b)(a+b):

0>((3x+2)-(2x-4))((3x+2)+(2x-4))

Simplify inside the factors:

0>(x+6)(5x-2)

(x+6)(5x-2)

The left hand side is a parabola that faces up.  I know this because the degree is 2.  

The zeros of the the parabola are at x=-6 and x=2/5.

We can solve x+6=0 and 5x-2=0 to reach that conclusion.

x+6=0

Subtract 6 on both sides:

x=-6

5x-2=0

Add 2 on both sides:

5x=2

Divide both sides by 5:

x=2/5

Since the parabola faces us and (x+6)(5x-2) then we are looking at the interval from x=-6 to x=2/5 as our solution.  That part is where the parabola is below the x-axis.  We are looking for where it is below since it says the where is the parabola<0.

The solution in interval notation is:

(-6,\frac{2}{5}).

The solution in inequality notation is:

-6.

6 0
4 years ago
Josh and Michael each have a loan for $6200 with a 4% interest rate. Josh has a monthly payment of $183, and Michael has a month
Natalija [7]
Your Answer For This Question Is B

7 0
4 years ago
Read 2 more answers
True or False?
Art [367]
That would be False, if you were to graph it it pases far from (7,1)
8 0
3 years ago
Read 2 more answers
I need help please !
Katarina [22]
107/2 since it’s 1/2 arc measurment. The answer should be 53.5???
7 0
3 years ago
Choose all items where the equation matches the given table
sdas [7]

Answer:

1st, 3rd, 4th

Step-by-step explanation:

1st one: 43 x

multiply x by 43

7 x 43 = 301

7 x 43 = 258

10 x 43 = 430

3 x 43 = 129

4 x 43 = 172

(correct)

2nd one: 12x

multiply x by 12

2 x 12= 32

we know that 2 x 12 is 2 so this equation does not work

(incorrect)

3rd one: 202x

multiply x by 202

6 x 202 = 1212

4 x 202 = 808

10 x 202 = 2020

3 x 202 = 606

8 x 202 = 1616

(correct)

4th one: 13x

multiply x by 3

9 x 13 = 117

2 x 13 = 26

7 x 13 = 91

3 x 13 = 36

10 x 13 = 130

(correct)

3 0
3 years ago
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