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2 years ago

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Mathematics

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Eduardwww [97]2 years ago

5 0

Where is the model? because we can’t see the sides with out the model

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Let ρ = x3 + xe−x for x ∈ (0, 1), compute the center of mass.

hram777 [196]

The center of mass is mathematically given as

$\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

<h3>What is the center of mass.?</h3>

Determine the center of mass in one dimension:

Represent the masses at the respective distances.

$\begin{|c|c|} Masses \ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ Located at \\\rho=x^{3}+x \cdot e^{-x} & \ \ \ \ x \in(0,1)$ \\\end$

We calculate the total mass of the system.

$\begin{aligned}m &=\int_{0}^{1} \rho \cdot d x \\& m =\int_{0}^{1}\left(x^{3}+x \cdot e^{-x}\right) \cdot d x \\&m =\left|\frac{x^{4}}{4}-(x+1) e^{-x}\right|_{0}^{1} \\&m =\left(\frac{5}{4}-\frac{2}{e}\right)\end{aligned}$

Step 03: Calculate the moment of the system.

$\begin{aligned}M &=\int_{0}^{1}(\rho \cdot x) \cdot d x \\& M=\int_{0}^{1}\left(x^{4}+x^{2} \cdot e^{-x}\right) \cdot d x \\&M =\left|\frac{x^{5}}{5}-\left(x^{2}-2 x+2\right) \cdot e^{-x}\right|_{0}^{1} \\&M=\left(\frac{11}{5}-\frac{5}{e}\right)\end{aligned}$

we calculate the center of mass.

$\begin{aligned}\bar{x} &=\left(\frac{M}{m}\right) \\& \bar{x}=\left\{\left(\frac{\left.11-\frac{5}{5}\right)}{\left(\frac{5}{4}-\frac{2}{e}\right)}\right\}\right.\\& \bar{x}=\left(\frac{11 e-25}{5 e}\right) \cdot\left(\frac{4 e}{5 e-8}\right) \\&\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

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8 0

1 year ago

S is between B and C. True or false

Brut [27]

False because I looked it up online

8 0

3 years ago

Read 2 more answers

Write this ratio as a fraction in the simplest form 3 feet to 63 inches

Andrei [34K]

Answer:

4:7

Step-by-step explanation:

Okay, so first convert the feet to inches so 3x12=36. So the it's 36:63. Then if you simplify it you get 4:7.

3 0

3 years ago

I need help with solving these math problem whoever gets them correct I mark brainliest!!!!

Margarita [4]

Answer:

red side is a leg and should be labeled a or b, the pink side is a leg and should be labeled a or b, and the light blue side is the hypotenuse and should be labeled c.

3=a or b

4=a or b

5=c

Step-by-step explanation:

7 0

2 years ago

Find the sum 18,997.9 + 421.19

Igoryamba

Answer:

19,419.09

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers