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Mama L [17]
2 years ago
13

Help find the derivative.

Mathematics
1 answer:
Masteriza [31]2 years ago
5 0

Answer:

Step-by-step explanation:

1.\\f(x)=e^x\\f'(x)=e^x\\2.\\y=x^8-12x^5-3x^2+7x+22\\\frac{dy}{dx}=8x^7-12*5 x^4-3*2x+7+0\\\frac{dy}{dx}=8x^7-60 x^4-6x+7\\3.\\f(x)=e^3\\f'(x)=0

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Solve this complex fractions: (3/4)/2
strojnjashka [21]

Answer:

your answer is 0.375

Step-by-step explanation:

7 0
2 years ago
What’s the square root of -121
irakobra [83]
The answer is 11 i

<em />
<em>Explanation:
</em>
The square root needs to be a number that can be multiplied by itself and equal the original number.

In this case, the number is 11, 11*11 = 121

However, you are looking for the square root of a negative number, due to this you would add i to the answer,
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2 years ago
The length of the diagonal of a wooden cube is 24 cm. The cube is cut into the cylinder of the
jek_recluse [69]

The biggest possible volume of the cylinder will be 2089.497\hspace{1mm}\text{cm}^3.

<h3>What will be the diameter and height of the cylinder obtained from a cube and what are the formulas for the diagonal of a cube and the volume of a cylinder?</h3>
  • If a cylinder with the biggest possible volume is cut inside the cube, the height of the cylinder and the diameter of the cylinder will be equal to the side length of the cube.
  • For example, consider the following figure in which the cylinder is cut inside of the cube and since the side length of the cube is x, the diameter and the height of the cylinder are also x
  • If the side length of a cube is x unit, then its diagonal will be x\sqrt{3} unit.
  • The formula for the volume of a cylinder is V=\pi r^2h, where r is the radius and h is the height of the cylinder. If d is the diameter, then r=\frac{d}{2}.

Now, given that the diagonal of the cube is 24 cm. So, if the side length of the cube is x cm, then we must have

x\sqrt{3}=24\\\Longrightarrow x=\frac{24}{\sqrt{3}}\\\Longrightarrow x=8\sqrt{3}

Thus, the side length of the cube is 8\sqrt{3} cm.

So, the height of the cylinder with maximum volume will be h=8\sqrt{3} cm and the diameter will be d=8\sqrt{3}cm i.e. the radius will be r=\frac{d}{2}=\frac{8\sqrt{3}}{2}=4\sqrt{3} cm.

So, using the above formula for the volume of a cylinder, we get

V=\pi r^{2}h=\pi\times (4\sqrt{3})^2\times 8\sqrt{3}=2089.497\hspace{1mm}\text{cm}^3.

Therefore, the biggest possible volume of the cylinder will be 2089.497\hspace{1mm}\text{cm}^3.

To know more about volume, refer: brainly.com/question/1972490

#SPJ9

4 0
1 year ago
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Twenty-nine billion,thirty-two million in standard form
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The answer is 29,032,000,000
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205,769,205,796 + 1,784,521,794
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