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Oksana_A [137]
2 years ago
14

A particle p is moving along the x-axis the displacement x metres from O can be writen as x=t^5-12t²+9 find the velocity

Mathematics
1 answer:
Lisa [10]2 years ago
5 0

Answer:

v = t (5t^{3} - 24)

Step-by-step explanation:

We are given an expression to solve for the displacement (x), so in order to find velocity (v), we need to differentiate the function.

============================================================

Solving :

⇒ \frac{dx}{dt} = \frac{d}{dx} (t^{5} - 12t^{2} + 9)

⇒ v = (5)t^{5-1} - (2)12t^{2-1} + 0

⇒ v = 5t^{4} - 24t

⇒ v = t (5t^{3} - 24)

Using this equation, we can find the velocity if a value of t is given.

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The linear equation that can be used to represent the situation using 9, w and 163 is 9w + 63 = 198

The solved equation to find the number of weeks is w = 15

<h3 />

<h3>What is a linear equation?</h3>

Linear equation are equation in which the highest power of the variable is equals to 1.

Suzan is saving money to buy a bike . She already have $63 and is going to save an additional $9 per week. The cost of the bike is $198.

Let

w = number of weeks

The linear equation that can be used to represent the situation using 9, w and 163 is as follows:

using the slope-intercept form,

y = mx + b

where

m = slope

b = y-intercept

Therefore,

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The solved equation to find the number of weeks is as follows:

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learn more on linear equation here: brainly.com/question/26311977

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2 years ago
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3 years ago
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LuckyWell [14K]

Answer:

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Step-by-step explanation:

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7 0
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Answer:

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Step-by-step explanation:

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we know that

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Convert to meters

Remember that

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so

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Answer:

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