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mezya [45]
3 years ago
13

Briefly describe this graph of a Femis wheel.

Mathematics
1 answer:
son4ous [18]3 years ago
8 0

Answer: This is a periodic relation.

Step-by-step explanation:

This is a periodic relation, that can be modeled with a sinusoidal relation, that relates the height as a function of time.

Then we can write this as h(t) = A*sin(C*t + F) + B

Where A is the amplitude, C is a constant that depends on the period, F is a phase shift, and B is the midpoint of the function.

2*A is the distance between the maximum height and the minimum height.

B is the middle height of the Femis Wheel.

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A box with a square base and open top must have a volume of 296352 c m 3 . We wish to find the dimensions of the box that minimi
mestny [16]

Answer:

  • Base Length of 84cm
  • Height of 42 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume, V=x^2h=296352

h=\dfrac{296352}{x^2}

Surface Area of the box = Base Area + Area of 4 sides

A(x,h)=x^2+4xh\\$Substitute h=\dfrac{296352}{x^2}\\A(x)=x^2+4x\left(\dfrac{296352}{x^2}\right)\\A(x)=\dfrac{x^3+1185408}{x}

Step 2: Find the derivative of A(x)

If\:A(x)=\dfrac{x^3+1185408}{x}\\A'(x)=\dfrac{2x^3-1185408}{x^2}

Step 3: Set A'(x)=0 and solve for x

A'(x)=\dfrac{2x^3-1185408}{x^2}=0\\2x^3-1185408=0\\2x^3=1185408\\$Divide both sides by 2\\x^3=592704\\$Take the cube root of both sides\\x=\sqrt[3]{592704}\\x=84

Step 4: Verify that x=84 is a minimum value

We use the second derivative test

A''(x)=\dfrac{2x^3+2370816}{x^3}\\$When x=84$\\A''(x)=6

Since the second derivative is positive at x=84, then it is a minimum point.

Recall:

h=\dfrac{296352}{x^2}=\dfrac{296352}{84^2}=42

Therefore, the dimensions that minimizes the box surface area are:

  • Base Length of 84cm
  • Height of 42 cm.
5 0
3 years ago
Can somebody log into my khan and help me with it?
aniked [119]

Answer:

Step-by-step explanation:

Yes

8 0
3 years ago
Item 2
olasank [31]
Not sure what simp lies firm is
6 0
3 years ago
The first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +
lianna [129]
You have a system of equations \left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right..

1. Substitude right side of second equation into the left side of the first equation: -6x+6=-x^2+2x-9.

2. Solve this equation:
 x^2-2x+9-6x+6=0, \\ x^2-8x+15=0, \\ D=(-8)^2-4\cdot 1\cdot 15=64-60=4,  \\ \sqrt{D}=2,  \\ x_{1,2}=\dfrac{8\pm 2}{2  } =3,5.

3. Find y:
for x_1=3, y_1=-6\cdot 3+6=-18+6=-12,
for x_2=5, y_2=-6\cdot 5+6=-30+6=-24.

4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.


7 0
3 years ago
Read 2 more answers
Thrice the product of two and "Y".
love history [14]

Answer:

6Y

Step-by-step explanation:

We need to solve the statement ' Thrice the product of two and "Y" '.

Thrice means 3 times and product means multiply. It means we have to multiply 3,2 and Y.

Let the result is R. It can be calculated as follows :

R=3\times 2\times Y

We know that, 3×2 = 6

So,

R=6Y

Hence, Thrice the product of two and "Y" is 6Y.

6 0
3 years ago
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