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Ierofanga [76]
2 years ago
12

While she was training for a marathon Lucy ran a total of 120 kilometers. How many meters did she run

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
3 0

ANSWER

My answer is in the photo above

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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE
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Answer:

<h2> (2, -1)</h2>

Step-by-step explanation:

Given the function f(x) = 8x³ − 12x² − 48x, <em>the critical point of the function occurs at its turning point i,e at f'(x) = 0</em>

First we have to differentiate the function as shown;

f'(x)= 3(8)x^{3-1}- 2(12)x^{2-1} - 48x^{1-1}\\  \\f'(x) = 24x^2 - 24x-48x^0\\\\f'(x) = 24x^2 - 24x-48\\\\At \ the\turning\ point\ f'(x)= 0\\24x^2 - 24x-48 = 0\\\\\\

Dividing \ through \ by \ 24\\\\x^2-x-2 = 0\\\\On \ factorizing\\\\x^2-2x+x-2 = 0\\\\x(x-2)+1(x-2) = 0\\\\(x-2)(x+1) = 0\\\\x-2 = 0 \ and \ x+1 = 0\\\\x = 2 \ and \ -1

Hence the critical numbers of the function are (2, -1)

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Answer:The area of a circle is pi times the radius squared (A = π r²)

Step-by-step explanation:The area of a circle is pi times the radius squared (A = π r²)

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