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2 years ago

Please answer with explanation

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

5 0

Answer:

a direct variation is a relation that is of the form y = mx

example of a direct variation: y = 2x

a partial variation is is a relation that is of the form y = mx+b

example of a partial variation: y = 2x + 1

a non-linear function doesn't have a constant rate of change
the graph for a non-linear relationship is curved
a non-linear curve may show a positive or a negative relationship

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Elena-2011 [213]

Answer:

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Step-by-step explanation:

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2 years ago

Fundamental theorem of calculus <img src="https://tex.z-dn.net/?f=g%28s%29%3D%5Cint%5Climits%5Es_6%20%7B%28t-t%5E4%29%5E6%7D

mr_godi [17]

Answer:

$\displaystyle g'(s) = (s-s^4)^6$

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
$\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)$

Where a is some constant.

We can let:
$\displaystyle g(t) = (t-t^4)^6$

By substitution:

$\displaystyle g(s) = \int_6^s g(t)\, dt$

Taking the derivative of both sides results in:
$\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]$

Hence, by the Fundamental Theorem:

$\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\ & = (s-s^4)^6\end{aligned}$

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2 years ago

Write two subtraction equations to show how to find 15 - 7

pantera1 [17]

15-7=8
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3 years ago

Read 2 more answers

A car is traveling at a speed of 79 feet per second. (a) what is its speed in kilometers per hour?

AysviL [449]

79 ft/s = 0.0240792 km/s

0.0240792 x 60 = 1.444752 km/minute
1.444752 x 60 = 86.68512 km/hour

Ans: 86.69 km/h

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