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11111nata11111 [884]

3 years ago

7

The photograph shows wild turkeys. What makes wild turkeys a renewable resource? OA. Hunting B. Consumption C. Eating D. Reprodu

ction

Advanced Placement (AP)

1 answer:

nikdorinn [45]3 years ago

4 0

The answer would be “D. Reproduction”

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Answer:

$y = -3x +1$

Explanation:

Given

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Required

Determine the equation at the point of inflection

The point of inflection of a curve is the point where the second derivative is 0.

So:

$y = x^3 + 3x^2 + 2$

First derivative is:

$y' = 3x^2 + 6x$

Second derivative:

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$x = -1$

Next, we calculate the slope (m) of the point using the first derivative.

Substitute -1 for x in $y' = 3x^2 + 6x$

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$m = 3*1 - 6$

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To get the y equivalent;

Substitute $x = -1$ in $y = x^3 + 3x^2 + 2$

$y = (-1)^3 + 3(-1)^2 + 2$

$y = -1 + 3+ 2$

$y = 4$

Lastly, we calculate the line equation using:

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$m = -3$

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$y - 4 = -3(x -(-1))$

$y - 4 = -3(x +1)$

$y - 4 = -3x -3$

Make y the subject

$y = -3x -3 +4$

$y = -3x +1$

<em>Hence, the equation is: </em> $y = -3x +1$ <em></em>

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