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aleksandrvk [35]
3 years ago
8

GUYS HELPP ME!! Sketch a graph showing her distance from home. Also help me answer the questions below!

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

I've uploaded a picture, refer back to it .

In the beginning, Annie's distance is increasing(in brown), but decreases only once(in orange), when she went back to get her homework.

It also increases as she goes on the freeway fast(in blue) so her distance increases rapidly in a short amount of time.

Distance stays the same for a while, as they are stopped at a light for a couple of minutes(in yellow)

Increases one more time, when they approach the school slowly. (in pink)

2. Annie travels the fastest (highlighted in blue) when she and her brother get on the freeway and reach high speeds. The graph shows this by showing a steep ascent, representing a rapid increase in distance in a short amount of time.

Hope this helps and please consider marking branliest.

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Applying the rules for the constant, logarithm and exponents, the derivative of the given function is of:

f'(x) = 3/x - 6x² - 8/(x^5).

<h3>What is the derivative of the function?</h3>

The function is given by:

f(x) = √2^3 + ln(x^3) - 2x^3 - log_3(729) - 2/x^4

The derivative of a sum is the sum of the derivatives, hence:

f'(x) = (√2^3)' + (ln(x^3))' - (2x^3)' - (log_3(729))' - (2/x^4)'

The derivative of a constant is of zero, hence:

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  • (log_3(729))' = 0.

Hence:

f'(x) = (ln(x^3))' - (2x^3)' - (2/x^4)'.

The derivative of the logarithm is given by:

ln(h(x))' = (1/h(x)) x h'(x).

Hence:

(ln(x^3))' = 3x²/x³ = 3/x.

The derivative of the power of x is given by:

[x^n]' = nx^(n-1).

Hence:

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Hence the derivative of the function is given by:

f'(x) = 3/x - 6x² - 8/(x^5).

More can be learned about derivatives at brainly.com/question/23819325

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